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Newest Calculus Questions

1. Integrate each of the following:�� ׬ (a( 3𝑑𝑥 �� ׬ (b( 2 + 𝑥 5 𝑑𝑥 (c) ׬ 15𝑥2𝑑�
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   2. 124 views
2. Assume x and y are functions of t. Evaluate dy/dt for 2xy-2x+6y^3=-30, with the conditions dx/dt=-18, x=6, y=-1
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   2. 150 views
3. if dx/dt=5 and dy/dt=sin(t^2). then d^2y/dx^2 is
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   2. asked by suma sunga
   3. 156 views
4. integrate with limits of 2 and -2 (x^3(cos x/2) +1/2) (sqrt 4-x^2)dx
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   2. 138 views
5. derive x2ln(3x^2+5x)product rule
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6. intergrate (1+sin(x))dx bound is pi and 0
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   2. 150 views
7. power rulelog3xp
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8. a. Find the critical points of f(x)=x^16e^-x b. Use the First Derivative Test to locate the local maximum and minimum values. c.
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9. A particle is moving along the curve y= 5 \sqrt{4 x + 5}. As the particle passes through the point (1, 15), its x-coordinate
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   2. 197 views
10. Let\[f(x) = (\arccos x)^2 \cdot (\arcsin x)^2.\] Find the range of $f(x).$ All functions are in radians.
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    2. asked by alice
    3. 165 views
11. Suppose that f is a continuous function that is differentiable everywhere. The graph of the derivative of f crosses the x-axis
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    2. 218 views
12. Suppose that f(x,y,z)=x2yz−xyz3is a function of three variables. 1. Find the gradient of f(x,y,z). Answer: ∇f(x,y,z)= 2.
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    2. asked by val
    3. 200 views
13. For the given position vectors r(t), compute the (tangent) velocity vector r′(t) for the given value of t . A) Let
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    2. asked by val
    3. 188 views
14. Using the quotient rule find the first derivative of the function y=((3x+1)(cos2x))/e^2x
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    2. asked by Sinachi
    3. 328 views
15. which of the following represents the instantaneous rate of change of the function f at x=a? Select all that apply.A.f(a)
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    2. asked by D
    3. 238 views
16. 1 Find the equation of the tangent line to the graph of the function at the indicated point.a f (x) = x 2 ; (1, 1) b f (x) = 4x
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    2. asked by Fuad Faji Jemal
    3. 219 views
17. Let𝐴=∫1021𝑥d𝑥 and let 𝐿4 and 𝑅4 be the Left hand and Right hand Riemann sum approximations for 𝐴 with 4
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    2. asked by bob
    3. 274 views
18. Let F(x)=∫x96ln(2t)dt, for x≥9.(a) F′(x)=6/(ln(2x)) (b) On what interval or intervals is F increasing? x∈ (c) On what
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    2. asked by Destiny Padgett
    3. 186 views
19. Let ∫30f(x)dx=6.(a) What is the average value of f(x) on the interval from x=0 to x=3? average value = 2 (b) If f(x) is even,
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    2. asked by Destiny Padgett
    3. 216 views
20. Let ∫30f(x)dx=6.(a) What is the average value of f(x) on the interval from x=0 to x=3? average value = (b) If f(x) is even,
    1. 1 answer
    2. asked by Destiny Padgett
    3. 209 views
21. Find lim t -->0 ( (tant/t) i - (3t/sint)j + (cos t + (t^2)/2 - 1) / t^2 ) k
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    2. asked by Ken
    3. 240 views
22. Given the parametric equations: x=t - 1/t, y=t + 1/tFind the intervals where the curve is increasing and decreasing. State
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    2. asked by Paul
    3. 270 views
23. Given the parametric equations: x=t - 1/t, y=t + 1/tFind the slope of the tangent to the curve at (8/3,10/3) Find the area of
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    2. 254 views
24. Let f(x) be a function that is continuous and differentiable at all real numbers, and f(3)=5, f'(3)=-2, f''(3)=4, f'''(3)=-1.
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    2. asked by florescent
    3. 299 views
25. Consider the curve C parametrized byx = cos (8t) and y = sin (8t), for 0 ≤ t ≤ 𝜋/8 and traversed by a particle moving
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    2. asked by bill
    3. 298 views
26. Let f (x) = 6x and g(x) = x^2 + 3x, and let R be the bounded region between the graphs of f and g. Set up an integral to find
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    2. asked by bill
    3. 273 views
27. Find f'(x).f(x) = 3 ln x + ln x8 + 7ex
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    2. asked by Safa
    3. 212 views
28. Question:Evaluate the following integral using Gamma function. Integrate x from 0-->1 dx/((-ln(x))^(1/2)) My approach: I let
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    2. asked by A
    3. 253 views
29. The velocity of a car is recorded every 10 seconds, as shown in the table below.t(sec) 0 10 20 30 40 50 60 70 v(t) (ft/sec) 4 12
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    2. asked by Anonymous
    3. 380 views
30. ill in the following:lim f(x)= x→ 1 + lim f(x)= x→ 1 − lim f(x)= x→ 1 f (1) = lim x→− lim f(x)= x→ 2 + lim
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    2. asked by hasaanen
    3. 272 views
31. f(x) = (x^2 - 1) ^3a) domain b) intercepts c) asymptotes d) symmetry e) critical values of the 1st derivative f) intervals of
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    2. asked by guy022
    3. 342 views
32. f (x) = (x^2 + x - 6) e^xFind the: a) domain b) intercepts c) asymptotes d) symmetry e) critical values of the 1st derivative f)
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    2. asked by me again
    3. 478 views
33. (1 point) Consider the function 𝑓(𝑥)=7−6𝑥2 on the interval [−6,3](A) Find the average or mean slope of the function
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    2. asked by Anonymous
    3. 359 views
34. Let f(x)=e^(2x)-kx, for k greater than 0.Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4.
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    2. asked by John
    3. 799 views
35. Find the volume of the solid of revolution generated by revolving the region in the first quadrant bounded by the x-axis and the
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    2. asked by fred
    3. 505 views
36. A particle is moving along the curve below.y = sqroot(x) As the particle passes through the point (16, 4), its x-coordinate
    1. 2 answers
    2. asked by lizzy
    3. 495 views
37. Find dx/dt when x=1, y=0 and dy/dt=2 for the following equationsy= sqroot(x-1) x = cos y
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    2. asked by lizzy
    3. 410 views
38. Use the chain rule, in Leibniz Notation, to find dy/dx at the indicated value of x.y = u^3 - 2(u - 3)^4, u = x + x^1/3, x = 1
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    2. asked by help me pls
    3. 445 views
39. Suppose that f(π4)=−4 and f′(π4)=7, and let g(x)=f(x)sinx and h(x)=cosxf(x). Answer the following questions.1. Find
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    2. asked by cm
    3. 620 views
40. 1. A particle moves along the x-axis in such a way that it's position in time t for t is greater or equal to 0 is given by x=
    1. 2 answers
    2. asked by Sarah
    3. 1,130 views
41. R is the region bounded above by the graph of f(x)=2e^−x^2 and below by the x-axis over the interval [1,2]. Find the volume of
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    2. asked by Anonymous
    3. 736 views
42. f(x) = x2 + 2x - 1Compute the derivative (that is, the derivative function) by evaluating the limit. Show your work. (Notice
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    2. asked by anonymous
    3. 1,034 views
43. 88. (a) Write | x | − sx 2 and use the Chain Rule to show thatd dx | x | − x| x | (b) If fsxd − | sin x |, fnd f9sxd and
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    2. asked by 余才垚
    3. 505 views
44. If the instantaneous rate of change of f(x) at (4, −5) is 7, write the equation of the line tangent to the graph of f(x) at x
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    2. asked by jacob
    3. 569 views
45. Find the slope of the tangent line to the curve of intersection of thesurface 36𝑥² − 9𝑦² + 4𝑧² + 36 = 0 with the
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    2. asked by Kristian Lou
    3. 956 views
46. Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter
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    2. asked by Chuck
    3. 2,857 views
47. f(x) = summation from n = 1 to ∞ of (x^n)((n + 1) / 4^(n +1)) with an interval of convergence, –4 < x < 4.Find exactly the
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    2. asked by Kerbogha
    3. 676 views
48. Suppose that f has a continuous second derivative for all x, and that f(0)=1, f'(0)=2, and f''(0)=0.A. Does f have an inflection
    1. 2 answers
    2. asked by maeil
    3. 1,130 views
49. Part of a cross-country skier's path can be described with the vector function r = <2 + 6t + 2 cos(t), (15 − t)(1 − sin(t))>
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    2. asked by Kerbogha
    3. 597 views
50. If f ( x ) = 4 x ( sin x + cos x ) , find f ' ( x ) .f'(x)= Evaluate the derivative at x = 3. Enter an approximation, rounded to
    1. 2 answers
    2. asked by Johnny
    3. 838 views