1,125 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

01/11/19

If f'(x) = |x-2|, which of the following could be the graph of f(x)?
How do I find the graph of the original?I have a calculus test tomorrow, please help!
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Ap Calculus Math Calculus

01/11/19

Let f be the function f(x) = (2x-1)^5 * (x+2). Which of the following is an equation for the line tangent to the graph of f(x) a the point x = 1?
Test is tomorrow please help!
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Ap Calculus Math Calculus

01/11/19

A particle moving on the x-axis is given by the parametric function x(t) = 2t^3 + 3t^2 - 36t
If t > 0, find where (if) the particle changes direction (what (t) value) and where on the x-axis does it change direction?Test tomorrow, please help!
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Ap Calculus Math Calculus

01/10/19

find the x coordinates of all the points on the curve y=tanx, x€ (0,pi), where the tangent line is parallel to the line y= (4(x+pi)) / 3.
I have a calculus test tomorrow please help!!Thank you
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Ap Calculus Math Calculus

01/10/19

Find a point (if exists), Besides (0,0), where the graph of xy = x + y^2 has a nonexistence slope (also known as vertical tangent). (Use calculus to show if there is another point out there)
I have a calculus test tomorrow, please help!!thank you
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Ap Calculus

12/12/18

lim(x->5) (x^2+x-25) = 5, what is the value of δ that corresponds to ε = 2.4?
Can you also show how you got the answer, I'm really confused how to solve it on my own.
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Ap Calculus Math Calculus

11/13/18

Evaluating f(3) and f'(3)
Suppose that y=5x+2 is the equation of the tangent line to the graph of y=f(x) at a=3. What is f(3) and f'(3)?
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Ap Calculus

09/27/18

How to show that f is continuous over interval?
Let f be continuous and never zero on [a,b]. Show that either f(x)>0 for all x in [a,b] or f(x)<0 for all x in [a,b]
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Ap Calculus

08/03/18

find f(a+h)-f(a) if f(x)=2x+5
This particular problem is about differences in composite functions.  
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Ap Calculus

07/18/18

Find the measure of the smallest angle in a right triangle with sides of 3, 4, and 5 centimeters
 Help solve this question.  
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Ap Calculus

05/16/18

Functions defined by Integrals
F(x) = ∫[1,x] Ln(t2)dt. Use your calculator to find F '(3)   A. 2.197B. 2.079 C. 1.099 D. 0.693
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Ap Calculus

05/16/18

Relative Rates of Growth
Which of the following functions grows the fastest as x goes to infinity? f(x) = ex f(x) = log3 (x) f(x) = x1000 f(x) = 2x
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Ap Calculus

05/16/18

Relative Rates of Growth
Which of the following functions grows the fastest as x goes to infinity? f(x) = ln(x) f(x) = log2(x) f(x) = x2 f(x) = 2x
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Ap Calculus

05/01/18

Calculus with Data in a Table
The table of values below shows the rate of oil consumption in gallons per minute at selected time intervals from t = 0 to t = 12.Using a left Riemann sum with 5 subintervals estimate the total... more
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Ap Calculus

05/01/18

Solving Calculus with Data in a Table
The function f is continuous on the interval [3, 11] with some of its values given in the table below. Use the data in the table to approximate f '(4). (2 points)x      3  5  8  10  11f(x) -4  4 10... more
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Ap Calculus

04/27/18

AP Calculus: Functions defined by integrals
Use the graph of f(t) = 2t + 4 on the interval [-4, 6] to write the function F(x), where F(x) = Int[2,x] f(t)dt
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Ap Calculus

04/27/18

AP Calculus: Range of a Function
Find the range of the function F(x) = Int[-4,x] √(16-t^2)dt
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Ap Calculus

04/27/18

Functions Defined by Integrals
Pumping stations deliver oil at the rate modeled by the function D, given by D(t) = 5t/(1+3t) with t measure in hours and D(t) measured in gallons per hour. How much oil will the pumping stations... more
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Ap Calculus

04/27/18

Functions Defined by Integrals
Let F(x) = Int[0,2x] tan(t^2)dt. Use your calculator to find F"(1).
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Ap Calculus

04/15/18

Graphs of f, f' and f"
The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?  The graph of f has a relative maximum at x=0 The graph of f has a... more
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Ap Calculus

04/05/18

Trapezoidal Rule
Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for Int [0,4] x2dx.
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Ap Calculus

04/05/18

Differential Equations
1. a) Solve the differential equation y' = 4x√(1-y2).b) Explain why the initial value problem y' = 4x√(1-y2) with y(0) = 4 does not have a solution.   2. Using 4 equal-width intervals, show that... more
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Ap Calculus

04/05/18

Differential Equations Questions
1. Write and then solve for the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y2."   2. Solve the differential equation dy/dx =... more
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Ap Calculus

04/03/18

Rectilinear Motion
An object has a constant acceleration of 30 ft/sec^2, an initial velocity of -10 ft/sec, and an initial position of 4 ft. Find the position function, s(t), describing the motion of the object. 
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Ap Calculus

04/03/18

Mean Value Theorem for Integrals
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x^3 - 16x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.
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