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Newest Calculus Questions

1. From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon’s elevation,
   1. 1 answer
   2. asked by woosan♥
   3. 15 views
2. In the following math question:The position, x metres, of a particle travelling in a straight line from a fixed origin at time t
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3. Values for x and h have been substituted into the difference quotient produce delta y over delta x= -2(8.001)+16 over 0.001
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4. From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon’s elevation,
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   2. 19 views
5. The function f(x) = 3x2 + 2x + 25 models the sales of a new product over time.Find the average rate of change for the function
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6. From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon's elevation,
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   2. 19 views
7. Find the period and the amplitude of the periodic function.y = –4 cos 8x
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   2. asked by Amaterasu
   3. 39 views
8. From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon’s elevation,
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   2. 29 views
9. An example of a math question calculated using mid ordinate rule
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   2. asked by Angel
   3. 33 views
10. calculate the average rate of change over the interval [-1,3] for the function show your work in easy stepsf(x) = x^2 + 2x - 2
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    2. asked by Gunge Lord
    3. 39 views
11. According to data from a medical association, the rate of change in the number of hospital outpatient visits, in millions, in a
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    2. 34 views
12. An 18 foot ladder is leaning against a building if the bottom of the ladder is sliding along the pavement directly away from the
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    2. 67 views
13. From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon’s elevation,
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    2. 34 views
14. Use the image to answer the question.A coordinate plane shows a curve labeled f of x. The x-axis ranges from negative 1 to 5 in
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    2. asked by Gunge Lord
    3. 34 views
15. Find any points of discontinuity for each rational function. Sketch the graph. Describe any vertical or horizontal asymptotes
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16. From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon's elevation,
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    2. 21 views
17. ASSESSMENTQuestion Id : 1409 1 2 3 4 5 6 7 8 9 10 Exit 6 of 106 of 10 Items 02:04 Question Find the rate of change for the ramp
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18. Find the volume of the solid generated by revolving the region bounded by the graph of the equations about the y-axis.y=9-x^2,y=
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    2. 56 views
19. How to integrate 1/2x-3 dx has bound for 4 and 2
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    2. asked by D
    3. 38 views
20. Find the average rate of change of f(x)=6x^2-3 on the interval [4,t]. Your answer will be an expression involving t.
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21. Find the average rate of change of g(x)=1x^3+3 from x=-2 to x=2
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22. if the vertex of the graph is positive is it a minimum or a maximum?
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    2. asked by o
    3. 36 views
23. Compare the estimated average rates of change for the functions p\left(x\right)\ =\sqrt{x}-5 and q\left(x\right)\
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24. etermine the average rate of change over the interval negative 1 less-than-or-equal-to x less-than-or-equal-to 1 of the
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25. Given the graph of f(x) , on which interval is the average rate of change the greatest? (1 point) Responses The function has the
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    2. 162 views
26. What is the rate of change of height off the ground with respect to the number of steps?8in.per step 16in.per step 1/8in.per
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    2. asked by Yo
    3. 48 views
27. Choose the function and interval for which the Mean Value Theorem does not apply. (1 point) Responses f(x)=x2+2x, [−2,2] f ( x
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28. Determine if the series converges or diverges.. Choose your convergence test. Choose from the following:integral,directcompariso
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    2. asked by Lina
    3. 113 views
29. Use implicit differentiation of the equation below to determine the slope of the graph at the given point. xy⁴ = -49; x =
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    2. 67 views
30. The instantaneous rate of change of the volume V of a sphere with respect to its radius r can be expressed as dVdr=aVr . What is
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31. Match each ladle with the correct average rate of change over the interval from 0 to 2.(2 points) page х 01 213 f(a) 0 2 4 6 х
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32. Any point beyond the PPC curve is called
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    2. asked by Paul
    3. 67 views
33. Quotient rule of exponents practice
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34. The other tooth of an airplane is decreasing at a rate of 45 ft./s. What is the change in altitude of the airplane over a period
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    2. asked by Liv
    3. 81 views
35. product rule problem example
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36. A function is given.f(t)=6/t,t=a,t=a+h (a) Determine the net change between the given values of the variable. (b) Determine the
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    2. 65 views
37. The function $f(x),$ defined for $x > 0,$ is positive, differentiable, and decreasing. The function $f(x)$ has the following
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    2. asked by shelly
    3. 159 views
38. if f(x) = g(x) + 7 for 3 <= x <= 5 , then integrate [f(x) + g(x)] dx from 3 to 5 = ?
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39. Find the area bounded by the curve y=x^2+3, the x axis and the ordinates x=0, x=5
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    2. asked by Sinachi
    3. 128 views
40. The vector function r(t)= < lnsqrt(t+2) , 4t , t/(9-t^2) >find the domain of r and answer in interval notation Will the domain
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    2. asked by Ken
    3. 153 views
41. Find the directional derivative of f(x, y, z) 5y x + z = at P(4,1,-3)in the direction from P to Q(3,2,-2). NOTE: Enter the exact
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    2. asked by CarpoolBoi
    3. 125 views
42. What is the indefinite integral of√(1 - x^2) dx
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    2. asked by Tammy
    3. 119 views
43. A drug response curve describes the level of medication in the bloodstream after a drug is administered. A surge functionS(t) =
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    2. asked by ava andres
    3. 272 views
44. what are the dollars per jacket "x" in R(x) = 85 sqrt(x) when 402 have have been produced?
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    2. asked by Ti84gui
    3. 70 views
45. Hello.I am trying to simplify the problem, (tan^2x-sec^2x)/cosx, but I am unsure how. Does anyone have any formulas or starting
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    2. asked by Taylor
    3. 137 views
46. Find the equation of the tangent line to the graph of f(x)=−2xln(x+7) at x=−3.
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    2. asked by Lauren
    3. 83 views
47. Assume y=2⋅4^x is the equation for the blue line shown in the graph below, and that the black line is tangent to the graph at
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    2. asked by Lauren
    3. 173 views
48. q=f(p)=10000e^(−0.26p) Find a formula for the rate of change in the number of products sold when the price is p dollars
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    2. asked by Lauren
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49. q=f(p)=10000e^(−0.26p)Find a formula for the rate of change in the number of products sold when the price is p dollars
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    2. asked by Lauren
    3. 85 views
50. Assume y=2⋅4^(x) is the equation for the blue line shown in the graph below, and that the black line is tangent to the graph
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    2. asked by Lauren
    3. 157 views
51. y=4x−4⋅3^xFind the derivative of y
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    2. asked by Lauren
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52. R=14 ln qFind the derivative of R
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    2. asked by Lauren
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53. y=4⋅2^x Find the equation of the line tangent to the graph of y at x=2
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    2. asked by Lauren
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54. Find an equation of the tangent line to the curve y=10^(x) at the point (1,10)
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    2. asked by Lauren
    3. 52 views
55. y=4⋅2^xFind the equation of the line tangent to the graph of y at x=2
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    2. asked by Lauren
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56. y=4⋅2x.Find the equation of the line tangent to the graph of y at x=2
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    2. asked by Lauren
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57. f(x)=17e^(x)+14ln(x). Find f′(3).
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    2. asked by Lauren
    3. 59 views
58. Since January 1, 1960, the population of Slim Chance has been described by the formula P=30000(0.97)t, where P is the population
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    2. asked by Lauren
    3. 154 views
59. Given that f(−2)=2 and f′(−2)=−7, find an equation for the tangent line to the graph of y=f(x) at x=−2.
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    2. asked by Lauren
    3. 62 views
60. Determine which function has the greater rate of change in problems 1−3.The rates of change are equal. • The graph has a
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    2. asked by two
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61. Find the tangent line at f(x)=−1x3−1x2−4 at x=−1
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    2. asked by Lauren
    3. 100 views
62. f(x)=−1x3−1x2−4 at x=−1
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    2. asked by Lauren
    3. 100 views
63. q 0 100 200 300 400 500 600R(q) 0 510 1020 1530 2040 2550 3060 C(q) 720 930 1010 1120 1285 1855 2560 1. The price charged per
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    2. asked by Lauren
    3. 80 views
64. The cost of producing x units of stuffed alligator toys is C(x)=0.001x^(2)+8x+5000. Find the marginal cost at the production
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    2. asked by Lauren
    3. 251 views
65. x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 0 3.18 3.36 3.54 3.72 5.4 5.58 Estimate the second derivative of (0.6)
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    2. asked by Lauren
    3. 54 views
66. x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 0 3.18 3.36 3.54 3.72 5.4 5.58 Estimate f″(0.6)
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    2. asked by Lauren
    3. 56 views
67. x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 0 3.18 3.36 3.54 3.72 5.4 5.58 1. Estimate f′(0.6).
    1. 1 answer
    2. asked by Lauren
    3. 51 views
68. t 1982 1984 1986 1988 1990P 67.7 58.3 46.9 34.5 21.1 a) Estimate dPdt for the interval between 1986 and 1988. Round your answer
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    2. asked by Lauren
    3. 100 views
69. P(t)=100t(0.78t)Estimate how fast the population is changing 11 days after the onset of the illness.
    1. 2 answers
    2. asked by Lauren
    3. 82 views
70. Suppose that f(x) is a function with f(115)=76 and f′(115)=4 Estimate f(117.5)
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    2. asked by Lauren
    3. 76 views
71. f(115)=76 and f′(115)=4Find f(117.5)
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    2. asked by Lauren
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72. f(115)=76 and f′(115)=4Estimate f(117.5)
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    2. asked by Lauren
    3. 80 views
73. f(50)=5.7 and f′(50)=−2.3Find f(50+1) and f(50-1)
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    2. asked by Lauren
    3. 63 views
74. f(x)=−4x^(3)+6.5x+2. In this problem you will estimate f′(−2) by computing the average rate of change of f(x) over a small
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    2. asked by Lauren
    3. 111 views
75. Find the value of constant 'a' so that lim ((x^3)+(ax^2)+3x-1)/((x^2)-4) x--> -2exists and evaluate the limits for those values
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    2. asked by Yodan
    3. 81 views
76. Find the value of constant 'a' so that lim(x-> -2) ((x^3)+(ax^2)+3x-1)/((x^2)-4)exists and evaluate the limits for those values
    1. 2 answers
    2. asked by Yodan
    3. 85 views
77. x 0 1 2 3 4 5 6 7 8f(x) 16 18 7 4 3 6 -3 6 12 at which value of x is the rate of change the greatest?
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    2. asked by Lauren
    3. 55 views
78. x 0 1 2 3 4 5 6 7 8f(x) 16 18 7 4 3 6 -3 6 12 a. f′(0)≈ b. f′(6)≈
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    2. asked by Lauren
    3. 53 views
79. Let f(x)=−4x^(3)+6.5x+2.1. First choose the interval of length .1 with -2 being the left endpoint of the interval. Then
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    2. asked by Lauren
    3. 89 views
80. Let f(t)=8t^(2)+7t. Determine a formula for f′(t).
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    2. asked by Lauren
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81. Let f(t)=8t^(2)+7t.a. f′(4)≈ b. f′(−3)≈ c. f′(9)
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    2. asked by Lauren
    3. 48 views
82. Let f(x)=1/3x^(3)+5. Determine a formula for f′(x).
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    2. asked by Lauren
    3. 55 views
83. Let f(x)=x^(3)+6 Determine a formula for f′(x)
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    2. asked by Lauren
    3. 57 views
84. Let f(x)=x^(3)+6.A. f′(−3)≈ B. f′(−8)≈
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    2. asked by Lauren
    3. 54 views
85. Let f(x)=x3+6.b. f′(−3)≈ d. f′(−8)≈ Determine a formula for f′(x)
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    2. asked by Lauren
    3. 53 views
86. Let f(x)=x3+6.a. f′(4)≈ b. f′(−3)≈ c. f′(8)≈ d. f′(−8)≈ e. f′(0)≈
    1. 1 answer
    2. asked by Lauren
    3. 52 views
87. The position of a car is given by the values in the table.0,0 1,10 2,32 3,70 4,119 5,178 Find the average velocity for the time
    1. 2 answers
    2. asked by Lauren
    3. 101 views
88. f(x)=2^(1.4x). Estimate the derivative f′(1.1) to within two decimal places
    1. 2 answers
    2. asked by Lauren
    3. 87 views
89. Let f(x)=2^1.4x. Estimate the derivative f′(1.1) to within two decimal places by using a small enough interval
    1. 2 answers
    2. asked by Lauren
    3. 90 views
90. In order to express the function y=34x+7, as a composition of two functions the outer of which is an exponential function,we
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    2. asked by Lauren
    3. 167 views
91. Suppose A is inversely proportional to the square of B, and A=3 when B=5. Find the constant of proportionality.
    1. 2 answers
    2. asked by Lauren
    3. 144 views
92. Use the figures above, which show the functions f(x) and g(x), to find the following values1. f(g(1))= 2. g(f(−1))= 3.
    1. 1 answer
    2. asked by Lauren
    3. 267 views
93. Use the figures above, which show the functions f(x) and g(x), to find the following values.1. f(g(1))= 2. g(f(−1))= 3.
    1. 1 answer
    2. asked by Lauren
    3. 117 views
94. Use the figures above, which show the functions f(x) and g(x), to find the following values. Note that you can find exact
    1. 1 answer
    2. asked by Lauren
    3. 145 views
95. In order to express the function y=3^(4x+7), as a composition of two functions the outer of which is an exponential function, we
    1. 1 answer
    2. asked by Lauren
    3. 129 views
96. In order to express the function y=34x+7, as a composition of two functions the outer of which is an exponential function, we
    1. 1 answer
    2. asked by Lauren
    3. 137 views
97. Find g(x+1) when g(x)=x^(1/3)-2
    1. 1 answer
    2. asked by Lauren
    3. 62 views
98. Let f(x)=−3x^(2)−4. Let g(x)=4x−2. Find the following:(a) f(8)+g(8)= (b) f(5)⋅g(5)= (c) f(g(8))= (d) g(f(6))=
    1. 2 answers
    2. asked by Lauren
    3. 61 views
99. Let f(x)=−3x^(2)−4.Let g(x)=4x−2. Find the following: (a) f(8)+g(8)= (b) f(5)⋅g(5)= (c) f(g(8))= (d) g(f(6))=
    1. 2 answers
    2. asked by Lauren
    3. 64 views
100. Assume that a population was 891 when t=0, and 6 years later it became 2028.Assuming the population grows exponentially, write a
     1. 1 answer
     2. asked by Lauren
     3. 119 views