1,125 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

02/08/21

Use P4(x) to approximate e^x when x = 1.5.

Use P4(x) to approximate ex when x = 1.5.Please give a detailed answer, thank you.
Ap Calculus

02/06/21

AP calculus, calculus

Let f be the function given by f(x)=ln|x/1+x^2|. At what values of x does f have a relative maximum or a relative minimum? For each such x, use the first derivative test to determine whether f(x)... more
Ap Calculus

02/06/21

AP calculus, calculus

Let f be the function given by f(x)=ln|x/1+x^2|. At what values of x does f have a relative maximum or a relative minimum? For each such x, use the first derivative test to determine whether f(x)... more
Ap Calculus Math Calculus

02/06/21

Calculate the area under the graph of f of x equals the reciprocal of x squared in the first quadrant

Calculate the area under the graph of  in the first quadrant A B C π D ∞
Ap Calculus Math Calculus

02/06/21

Evaluate the integral from 2 to infinity of the quotient of 1 and the quantity 4 plus x squared dx

Evaluate   A B C π D Does not converge
Ap Calculus Math Calculus

02/06/21

Which of the following is an improper integral?

Which of the following is an improper integral? A B C D None of these
Ap Calculus Math Calculus

02/04/21

Using Euler's Method with a step size of h = 0.5, estimate the value for y(3) for the differential equation  , with y(2) = 5.

Using Euler's Method with a step size of h = 0.5, estimate the value for y(3) for the differential equation  , with y(2) = 5. A 5.352 B 5.230 C 5.238 D 5.233
Ap Calculus Math Calculus

02/04/21

What is the horizontal asymptote for y(t) for the differential equation?

What is the horizontal asymptote for y(t) for the differential equation  ? A y = 50 B y = 10 C y = 2 D
Ap Calculus Calculus

02/04/21

Let F and G be differentiable functions such that g(x)= f^-1(x). If f(2)=4, f(3)=9, g’(4)=1/4, and g’(9)=1/6, what is the value of f’(3)

Multiple choice answers are a.) 0b.) 3c.) 4d.) 6e.) 9
Ap Calculus

02/04/21

How do I simplify If e^2y−e^(y2−y)=x4−x2 using implicit differentiation?

Ap Calculus Math Calculus

02/04/21

Use Euler's Method with three equal step sizes to estimate the value of y(0.3) for the differential equation y ' = x - y, with y(0) = 1.

Use Euler's Method with three equal step sizes to estimate the value of y(0.3) for the differential equation y ' = x - y, with y(0) = 1.Type your answer in the space below and give 3 decimal... more
Ap Calculus Math Calculus

02/04/21

What is the best method to evaluate the integral of the quotient of the quantity x squared plus 5 times x plus and the quantity x plus 1 dx ?

What is the best method to evaluate  ? A Integration by parts B Rewrite the integral using long division C Rewrite the integral using partial fractions D Use a substitution
Ap Calculus Math Calculus

02/04/21

Which of the following integrals can be integrated using partial fractions using linear factors with real coefficients?

Which of the following integrals can be integrated using partial fractions using linear factors with real coefficients? A B C D None of these
Ap Calculus Math Calculus

02/04/21

The number of geese is modeled by the function G(t) that satisfies the differential equation dG dt equals the product of G divided by 5 and the quantity 350 minus G where t is the time in year...

The number of geese is modeled by the function G(t) that satisfies the differential equation  . What is the goose population when the population is increasing most rapidly?... more
Ap Calculus Math Calculus

02/02/21

How many times must you apply integration by parts in order to find the antiderivative of x2 e4x ?

How many times must you apply integration by parts in order to find the antiderivative of x2 e4x ? A 2 B 4 C More than 4 D Integration by parts is not necessary
Ap Calculus Math Calculus

02/02/21

Evaluate the integral of the inverse sine of x, dx

Evaluate   A B C D None of these
Ap Calculus Math Calculus

02/02/21

Which of these integrals requires the method of integration by parts?

Which of these integrals requires the method of integration by parts? A B C D
Ap Calculus Math Calculus

02/02/21

Use the graph of f(t) = 2t + 4 on the interval [-4, 6] to write the function F(x), where f of x equals the integral from 2 to x of f of t dt...

Use the graph of f(t) = 2t + 4 on the interval [-4, 6] to write the function F(x), where   A F(x) = x2 + 6x B F(x) = x2 + 4x - 12 C F(x) = x2 + 4x - 8 D F(x) = x2 + 8x - 20
Ap Calculus Math Calculus

02/02/21

Find the range of the function f of x equals the integral from 0 to x of the square root of the quantity 16 minus t squared

Find the range of the function   A [-4, 4] B [0, 4] C [0, 4π] D [0, 8π]
Ap Calculus Math Calculus

02/02/21

A particle moves along the x-axis with velocity v(t) = t2 - 1, with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled...

A particle moves along the x-axis with velocity v(t) = t2 - 1, with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = 2... more
Ap Calculus Math Calculus

02/02/21

Pumping stations deliver gasoline at the rate modeled by the function D, given by d of t equals the quotient of 6 times t and the quantity 1 plus 2 times t with t measure in hours and and R(t)...

Pumping stations deliver gasoline at the rate modeled by the function D, given by  with t measure in hours and and R(t) measured in gallons per hour. How much oil will the pumping stations deliver... more
Ap Calculus Math Calculus

02/02/21

Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared . Use your calculator to find F"(1)

Let  . Use your calculator to find F"(1) A 12 B 6 C 4 D
Ap Calculus Math Calculus

02/01/21

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1) ...

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1)f(x) and g(x) are a... more
Ap Calculus Math Calculus

02/01/21

The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value of the function with a Left Hand Sum...

The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value of the function with a Left Hand Sum Approximation, using the... more

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