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Alice

Questions (614)

The rational function (x-4)/x(2x-1) can be expressed as the sum of two partial fractions: A/x and B/(2x-1). Find the value of A
1. 3 answers
2. 492 views
An animal population is modeled by the function A(t) that satisfies the differential equation dA/dt= A/1125 all this multiplied
1. 4 answers
2. 2,344 views
A point has a position vector given by r(t)= (t^2 +1,4-t), t for all time t ≥ 0 seconds. Find the speed of the object at t = 1
1. 1 answer
2. 680 views
Find the magnitude of a particle's acceleration vector at t = 1 for a particle moving with position vector r(t)=(2t^2,4t^2-t^3)a
1. 2 answers
2. 2,202 views
For what value of t is the slope of the curve undefined for the graph defined by x = 10 – t^2, y = t^3 – 12t?Type your
1. 1 answer
2. 1,350 views
What is the length of the path along the graph of y=√(4-x^2) between x =1 and x = 2?a) 2π/3 b) π/3 c) π/6 d) π/4
1. 1 answer
2. 408 views
Find the arc length of the curve from t = 0 to t = 1 whose derivatives in parametric form are dx/dt=2-cos(t) and dy/dt=ln(t^2)Ty
1. 1 answer
2. 899 views
Find the point(s) of intersection for the polar curves with equations r = 6 cos θ and r = 4 − 2 cos θ.a) π/6,-π/6 b)
1. 2 answers
2. 1,849 views
What is distance around the graph of r = 3 sin θa) 3π b) 9π c) 12π d) 72π
1. 2 answers
2. 1,295 views
Find the values of θ at which there are horizontal tangent lines on the graph of r = 1 + sin θa) π/2, 3π/2, π/6, 5π/6 b)
1. 1 answer
2. 683 views
Find the polar coordinates for point P which has Cartesian coordinates(1,-√3) a) (1,5pi/6) b) (1,5pi/3) c) (√3,5pi/3) d)
1. 5 answers
2. 1,334 views
The components of a position vector of a particle moving in the plane are components t^3,2sin(t)). What is the distance traveled
1. 1 answer
2. 2,357 views
The last question pleaseFor what value of t is the slope of the curve undefined for the graph defined by x = 10 – t2, y = t3
1. 2 answers
2. 1,522 views
Find d^2y/dx^2 for the curve given by x = 2t + 5 and y= 3t/2a) 3/(4t+10) b) (4t+10)/3 c) 1 d) 0
1. 2 answers
2. 1,064 views
Find the equation of the tangent to the curve at x = 3 for the parametric equations below:x= t+1/t y= t^2+1/t^2, with t>0 a) y=
1. 1 answer
2. 1,619 views
The table below gives selected values for the function f(x). With 5 rectangles, using the left side of each rectangle to
1. 9 answers
2. 6,483 views
The differential equation dy/dx=(y-2)/(y+1)produces a slope field with horizontal tangents at y = 2 produces a slope field with
1. 4 answers
2. 1,681 views
Estimate the value of the integral from negative 2 to 4 of x^3dx by using the Trapezoidal Rule with n = 3.a) 252 b) 128 c) 63 d)
1. 4 answers
2. 2,478 views
Calculate the area under the graph of f of x equals the negative of the natural logarithm of x above the x-axis on the interval
1. 3 answers
2. 986 views
Use Euler's Method with three equal step sizes to estimate the value of y(0.3) for the differential equation y ′ = y, with
1. 7 answers
2. 1,739 views
Use Euler's Method with three equal steps and y(1) = 1 to approximate y(1.3) for the differential equation dy/dx= x+y^2a) 1.283
1. 3 answers
2. 1,319 views
The function f is continuous on the interval [2, 10] with some of its values given in the table below. Use a trapezoidal
1. 5 answers
2. 3,821 views
f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(3x)]. The table below gives selected values for f(x),
1. 1 answer
2. 1,007 views
What does lim x-->∞ f(x)/g(x)=0 show?a) g(x) grows faster than f(x) as x goes to infinity b) f(g) and g(x) grow at the same
1. 4 answers
2. 3,054 views
f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(3x)]. The table below gives selected values for f(x),
1. 0 answers
2. 737 views
The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value
1. 2 answers
2. 5,705 views
Which of the following functions grows at the same rate as e^x as x goes to infinity?a) e^(x+3) b) e^(3x) c) e^(2x) d) e^(-x)
1. 1 answer
2. 3,094 views
Newton’s law of cooling states that the rate of cooling of an object is proportional to the temperature difference between the
1. 1 answer
2. 1,199 views
For the function whose values are given in the table below, the integral from 0 to six of f(x)dx is approximated by a Reimann
1. 2 answers
2. 2,705 views
The differential equation dy/dx=(x+1)/(x-2)I. produces a slope field with horizontal tangents at x = −1 II. produces a slope
1. 1 answer
2. 3,929 views
Choose the appropriate table for the differential equation dy/dx=x-ya) x -2, 0, 1 y -4, 1, 2 dy/dx 2,-1,-1 <---- my answer. Can
1. 1 answer
2. 1,780 views
If dy/dx= sin^2(πy/4) and y=1 when x = 0, then find the value of x when y = 3.a) 0 b) 8/π c) -π/8 d) None of these
1. 4 answers
2. 2,231 views
If dy/dx=(xy^2) and if y=1 when x=0, then when y=3, x is equal toa) 1/8 b) - π/8 c) 1 d) (2√3)/3
1. 2 answers
2. 1,270 views
Find the particular solution to y"=3sin(x) given the general solutiony=-3sin(x) +Ax+B and the initial conditions y (π/2)=π and
1. 1 answer
2. 1,749 views
Find the absolute value of the resulting error if the value of integral from 0 to 3 (x^3 dx) is estimated with 3 trapezoids of
1. 12 answers
2. 4,671 views
If dy/dx=cos^2(πy/4) and y=1 when x=0, then find the value of x when y=3a) 1/8 b) -π/8 c) -8/π d) None of these
1. 1 answer
2. 2,182 views
Function f(x) is positive, decreasing and concave up on the closed interval[a, b]. The interval [a, b] is partitioned into 4
1. 2 answers
2. 1,427 views
Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of integral from 1 to 10 f(x)dxx
1. 7 answers
2. 3,057 views
The estimated value of the integral from 0 to 2 of x^2 dx , using the trapezoidal rule with 4 trapezoids isa) 2.75 b) 5.50 c)
1. 2 answers
2. 2,384 views
Function f(x) is positive, decreasing and concave up on the closed interval[a, b]. The interval [a, b] is partitioned into 4
1. 3 answers
2. 2,548 views
Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of : integral from 1 to 10 f(x)dx
1. 3 answers
2. 980 views
The temperature of a pan of hot water varies according to Newton's Law of Cooling: dT/dt= -k (T - A), where T is the water
1. 2 answers
2. 2,817 views
The differential equation dy/dx = x/y^2Possible answers: I. will have a slope field with negative slopes in quadrant I II. will
1. 6 answers
2. 4,151 views
The particular solution of the differential equation dy/dt= 2y for which y(0) = 60 isa) y= 60e^2t b) y= 60e^0.5t c) y= 59 + e^t
1. 3 answers
2. 3,103 views
The Gulf Stream is a warm ocean current that extends from the eastern side of the Gulf of Mexico up through the Florida Straits
1. 3 answers
2. 1,368 views
Jody invested $4800 less in an account paying 5% simple interest than she did in an account paying 2% simple interest. At the
1. 2 answers
2. 1,379 views
A ball is thrown upward with a speed of 40 feet per second from the edge of a cliff 500 feet above the ground. What is the speed
1. 1 answer
2. 4,475 views
find F'(X) for F(X)=integral 1 to x √(t^3+1) dt
1. 1 answer
2. 336 views
The base of a solid is bounded by the curve y=√ x + 1, the x-axis and the line x = 1. The cross sections, taken perpendicular
1. 3 answers
2. 3,505 views
If f(x) = |(x^2 − 4)(x^2 + 2)|, how many numbers in the interval [0, 1] satisfy the conclusion of the Mean Value Theorem?
1. 3 answers
2. 619 views
Determine if the Mean Value Theorem FOR INTEGRALS applies to the function f(x) = x3 − 4x on the interval [−1, 1]. If so,
1. 2 answers
2. 1,575 views
The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x^2. Cross sections of the solid
1. 1 answer
2. 1,080 views
The base of a solid in the xy-plane is the circle x^2 + y^2 = 16. Cross sections of the solid perpendicular to the y-axis are
1. 1 answer
2. 1,307 views
Find the area of the region bounded by the graphs of y = −x2 + 3x + 4 andy = 4. a) 2.7 b) 4.5 c) 28.5 d) 16.5
1. 1 answer
2. 1,229 views
Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,√2). If so, find the
1. 1 answer
2. 3,835 views
Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at
1. 1 answer
2. 2,053 views
Given f '(x) = (x − 4)(4 − 2x), find the x-coordinate for the relative maximum on the graph of f(x).a) 12 m/sec; 22 m/sec^2
1. 4 answers
2. 1,028 views
The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what
1. 1 answer
2. 4,452 views
Given the position function, s(t)= (-t^3/3)+(13t^2 /2)-30t, between t=0 andt = 9, where s is given in feet and t is measured in
1. 2 answers
2. 1,373 views
The base of a solid is the circle x^2 + y^2 = 9. Cross sections of the solid perpendicular to the x-axis are equilateral
1. 2 answers
2. 3,861 views
Find the volume of the solid formed by rotating the region bounded by the graph of y equals 1+ √x, the y-axis, and the line y
1. 2 answers
2. 1,398 views
Find the area of the region bounded by the functions f(x) = x^4 and g(x) = |x|.a) 1.3 b) 5.2 c) 0.6 d) None of these
1. 2 answers
2. 3,824 views
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = √x on the interval [0, 4]. If so, find the
1. 2 answers
2. 3,155 views
The base of a solid is the circle x^2+y^2=9. Cross sections of the solid perpendicular to the x-axis are semi-circles. What is
1. 1 answer
2. 1,363 views
Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) − sin(t) and v(0) =
1. 0 answers
2. 1,290 views
Find the distance, in meters, a particle travels in its first 10 seconds of travel, if it moves according to the velocity
1. 2 answers
2. 2,182 views
Which best describes how the Scientific Revolution impacted people’s views about politics and government?(Select all that
1. 3 answers
2. 1,039 views
Find the area of the region bounded by the graphs of y = x2 − 4x andy = x − 4. a) - 4.500 b) 4.500 c) 2.333 d) None of these
1. 8 answers
2. 6,782 views
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the
1. 6 answers
2. 3,011 views
The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x+y
1. 1 answer
2. 1,900 views
Find the velocity, v(t), for an object moving along the x-axis in the acceleration, a(t), is a(t)=cos(t)-sin(t) and v(0)=3a)
1. 3 answers
2. 1,438 views
Estimate the area under the curve f(x)=16-x^2 from x=0 to x=3 by using three inscribed (under the curve) rectangles. Answer to
1. 3 answers
2. 3,738 views
Find the value of "f" on the top "9" and in the botton "1" x^2dx using four rectangles of equal width, with each left end-point
1. 2 answers
2. 495 views
Use two rectangles of equal width to estimate the area between the graph of f(x)=x+sin( πx) and the x-axis on the interval
1. 1 answer
2. 4,352 views
Express the um using sigma notation:1 +3/4 +5/9+ 7/16+ 9/25
1. 5 answers
2. 2,038 views
Ty received test grades of 73%,82%,73%,77%, and 77%.a) what grade would he need to make on the sixth test to get a "C" if a "C"
1. 6 answers
2. 4,705 views
four times the sum of three consecutives odd integers is the same as 221 more than 5 times the largest integer. Find the
1. 6 answers
2. 730 views
Find the value of f on the top "9" on the bottom "1" x^2dx using four rectangles of equal width, with each left end-point used
1. 1 answer
2. 524 views
Use two rectangles of equal width to estimate the area between the graph of f(x) = x - cos(πx) and the x-axis on the interval
1. 3 answers
2. 3,353 views
The position equation for a particle is s(t)=√t^3+1 where "s" is measured in feet and "t" is measured in seconds. Find the
1. 2 answers
2. 1,979 views
On Saturday, the fruit and juice bar was selling 25 glasses of fruit punch an hour. By 3 p.m., they had sold 125 glasses. If
1. 1 answer
2. 832 views
Use a graphing calculator to graph f(x)=(2x^2-8)/(x^2-6) and then select the response which is truea) f increases without bound
1. 2 answers
2. 1,260 views
If f(x) is a continuous function defined for all real numbers, f(-1)=1, f(-5)=-10, and f(x)=0 for one and only one value of x,
1. 1 answer
2. 2,130 views
the local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an
1. 5 answers
2. 2,371 views
Which of the following is the best linear approximation forf(x)=cos(x) near x= π/2 ? a) y= x - π/2 b) y= -x + π/2 c) y= -x +
1. 1 answer
2. 549 views
If f is continuous at x=c, then f is differentiable at x=cTrue False
1. 1 answer
2. 561 views
Which of the following is the best linear approximation forf(x)=cos(x) near x= π/2 ? a) y= x - π/2 b) y= -x + π/2 c) y= -x +
1. 1 answer
2. 1,195 views
If f is continuous at x=c, then f is differentiable at x=cTrue False
1. 1 answer
2. 763 views
If f(-1)=-3 and f'(x)=(4x^2)/(x^3+3), which of the following is the best approximation for f(-1.1) using local linearization?a)
1. 1 answer
2. 1,142 views
A particle moves along the x-axis so that at time t its position is given by s(t)=(t+3)(t-1)^3,t>0.For what values of t is the
1. 0 answers
2. 534 views
If the space below, provide the smaller of the two positive integers that add 30 and have the largest possible product.Numerical
1. 1 answer
2. 2,742 views
A person of weight 820 N stands on one leg. The area of the foot in contact with the floor is 1.4 X 10^-2 m^2a. Calculate the
1. 2 answers
2. 1,338 views
At which position does the diver have the most gravitational potential energy?A.) 1 ( in diving board about to jump off, in a
1. 36 answers
2. 16,882 views
Select the best answer below:lim x→∞ [ln(|x|-1)] / (cos(x))^x a) does not exist b) 1 c) -1 d) 0 Thank you very much for your
1. 1 answer
2. 409 views
Evaluate lim x→1 f(x)for f(x)= 5x-10,x<1 1 x=1 -3x - 2,x>1 Possible answers: a) 3 b) -5 c) 1 d) does not exist
1. 1 answer
2. 916 views
Which of the following must be true for the graph of the functionf(x)= (x^2-25)/5x-25) There is: I. a removable discontinuity at
1. 1 answer
2. 1,845 views
If lim x→0 f(x)=3 and lim x→0 g(x)=1, then find lim x→0 (f(x)+g(x))^2a) 40 b) -4 c) 16 d) 28
1. 1 answer
2. 643 views
which of the following are continuous for all real values of x?I. f(x)= (x^2+5)/x^2+1 II. g(x)= 3/x^2 III. h(x)=|x| a) I only b)
1. 1 answer
2. 1,747 views
The sum of Lisa's age and Myra's age is 19. In 10 years, Lisa will be 5 years older than Myra. How old is each girl now?
1. 3 answers
2. 1,915 views
a stone is release from a catapult with a speed of 50m/s attain a height of 100m/s .Calculate the time of flight
1. 2 answers
2. 513 views

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