1,126 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

01/24/21

Solve the differential equation dy dx equals the quotient of y times the cosine of x and the quantity 1 plus y squared with the initial condition y(0) = 1
Solve the differential equation  with the initial condition y(0) = 1
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Ap Calculus Math Calculus

01/24/21

Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y4."
Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y4."
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Ap Calculus Math Calculus

01/22/21

Given f(x) > 0 with f ′ (x) > 0, and f ″ (x) > 0 for all x in the interval [0, 3] with f(0) = 0.1 and f(3) = 1, the left, right, trapezoidal, and midpoint rule approximations...
Given f(x) > 0 with f ′ (x) > 0, and f ″ (x) > 0 for all x in the interval [0, 3] with f(0) = 0.1 and f(3) = 1, the left, right, trapezoidal, and midpoint rule approximations were used to... more
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Ap Calculus Math Calculus

01/22/21

The table below gives selected values for the function f(x). With 5 rectangles, using the midpoint of each rectangle to evaluate the height of each rectangle, estimate...
The table below gives selected values for the function f(x). With 5 rectangles, using the midpoint of each rectangle to evaluate the height of each rectangle, estimate the value... more
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Ap Calculus Math Calculus

01/22/21

Estimate the value of the integral from negative 1 to 3 of x cubed, dx by using the Trapezoidal Rule with n = 4
Estimate the value of  by using the Trapezoidal Rule with n = 4 A 8 B 19 C 22 D 36
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Ap Calculus Math Calculus

01/22/21

The general solution of the differential equation dy - 0.2x dx = 0 is a family of curves. These curves are all...
The general solution of the differential equation dy - 0.2x dx = 0 is a family of curves. These curves are all A lines B hyperbolas C parabolas D ellipses
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Ap Calculus Math Calculus

01/22/21

The differential equation dy dx equals the quotient of the quantity y minus 2 and y plus 1 produces a slope field with horizontal tangents at y = 2 produces a slope field with vertical tangents...
The differential equation   produces a slope field with horizontal tangents at y = 2 produces a slope field with vertical tangents at y = -1 produces a slope field with columns of parallel... more
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Ap Calculus Math Calculus

01/22/21

The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T minus A, where T is the temperature of the coffee, A is the room...
The temperature of a cup of coffee varies according to Newton's Law of Cooling: , where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee... more
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Ap Calculus

01/20/21

Integrate the following
Integrate the following:∫ sec(3z+4)dz
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Ap Calculus

01/20/21

what is the average value of f(x) = |x3| over [-2,1]
x3not x3
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Ap Calculus Math Calculus

01/20/21

If dy dx equals sine squared of the quantity pi times y over 4 and y = 1 when x = 0, then find the value of x when y = 3
If  and y = 1 when x = 0, then find the value of x when y = 3 A 0 B C D None of these
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Ap Calculus Math Calculus

01/20/21

Find the particular solution to y " = 2sin(x) given the general solution y = -2sin(x) + Ax + B and the initial conditions y of pi over 2 equals 0 and y prime of pi over 2 equals negative 2
Find the particular solution to y " = 2sin(x) given the general solution y = -2sin(x) + Ax + B and the initial conditions  and   A -2sin(x) + 2 B -2sin(x) - 2x + π + 2 C -2sin(x) - 2x +... more
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Ap Calculus Math Calculus

01/20/21

Find the particular solution to y ' = 4sin(x) given the general solution is y = C - 4cos(x) and the initial condition y of pi over 2 equals 2

Find the particular solution to y ' = 4sin(x) given the general solution is y = C - 4cos(x) and the initial condition   A -4cos(x) B 2 - 4cos(x) C 5 - 4cos(x) D -2 - 4cos(x)
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Ap Calculus

01/12/21

AP Calc- Euler's Method
Find y(x) when x=0, 0.2, 0.4, 0.6, 0.8, 1, using the exact solution of the differential equation and two approximations obtained using Euler's Method to approximate the particular solution of the... more
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Ap Calculus

01/12/21

AP Calc- Euler's Method
Use Euler's method with step size 0.1 to estimate y(2.5), where y(x) is the solution of the initial-value problem y ' = 3y + 2xy, y(2) = 1. (Round the answer to four decimal places.) y(2.5)=?
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Ap Calculus Math Calculus Geometry

01/09/21

For the given polynomial: a(x)=2x^5+5x^4+11x^3-49x^2-31x+26
find the maximum possible numbers of the positive and the negative roots find all the integer roots find the non- integer real roots find the complex roots
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Ap Calculus

01/07/21

Derivative,Ap maths
Find derivative of cosx at x=0Using the formula, derivative of f at point a is denoted by f'(a), f'(a)=Lim(h→0) (f(a+h)-f(a)) /h
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Ap Calculus

01/05/21

D(t)=10+4.9cos(pi/6 × t)
D(t)=10+4.9cos(pi/6 × t)D is defined above models the depth, in feet, of the water t hours after 12 am. Which of he following shows the method for finding the instantaneous rate of change of the... more
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Ap Calculus

01/04/21

What of the following gives the best estimate for the marginal cost, in dollars, to produce the 40th cupcake?
Function C is the cost for the guy's store to produce cupcakes of a certain type where c(x) is the cost, in dollars, to make x of the cupcakes. the function m is defined as m(x)=c(x+1)-c(x) gives... more
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Ap Calculus Math Calculus Algebra

12/31/20

help needed with calculus question
The graph of the continuous function g is shown above for −3≤x≤5 . The function g is twice differentiable except at x=1Graph:http://prnt.sc/wdcalqLet f be the function with f(1)=3 and... more
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Ap Calculus

12/28/20

Let g(x) = -2 f(x). If f'(5) = -3, then g'(5)=?
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Ap Calculus Math

12/20/20

A particle moves along the x-axis so that its position at time t>0 is given by x(t)=(t^2 -9)/(3t^2 +8)
a. Show that the velocity of the particle at time t is given by v(t) = 70t/(3t^2 +8)^2b. Is the particle moving toward the origin or away from the origin at time t=2? Give a reason for your... more
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Ap Calculus

12/16/20

AP cal ab unit 5 FRQ
A graphing calculator may be used for the following problem. On a given workday, the rate, in tons per hour, at which unprocessed ore arrives at a refinery is modeled by O(t) = 20 + 10 cos (... more
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Ap Calculus

12/15/20

ap cal ab unit 5 frq
A graphing calculator may be used for the following problem. On a given workday, the rate, in tons per hour, at which unprocessed ore arrives at a refinery is modeled by O(t) = 20 + 10 cos (... more
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Ap Calculus Math Calculus Physics

12/15/20

I need help with tangent lines
Given the equation of a curve: x^3/3+y^2/2−3x+2y=−1/6.does the line tangent to the curve at the point (1,1) have a slope of 2/3?Thanks
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