603 Answered Questions for the topic AP Calculus

Ap Calculus

05/06/20

#### How to find velocity when given a linear graph and what t equals?

A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of... more
Ap Calculus Math Calculus

05/03/20

Find the range of the function .Options: 1)  [-6, 6] 2)  [0, 6] 3)  [0, 9π] 4)  [0, 18π]
Ap Calculus Math Calculus

05/03/20

The velocity of a particle moving along the x-axis is v(t) = t2 - 2t, with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the... more
Ap Calculus Math Calculus

05/02/20

Use the graph of f(t) = 2t + 2 on the interval [–1, 4] to write the function F(x), where .Options: 1)  F(x) = x2 + 3x 2)  F(x) = x2 + 2x - 12 3)  F(x) = x2 + 2x - 3 4)  F(x) = x2 +... more
Ap Calculus Math Calculus

05/02/20

f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the value of g '(0.1)?  x 0.1 0.2 0.3 0.4 0.5 f... more
Ap Calculus Math Calculus

05/02/20

Compare the growth rate of the functions f(x) = log4(x) and g(x) = 4x. Options: 1)  f(x) grows faster than g(x). 2)  g(x) grows faster than f(x). 3)  f(x) and g(x) grow at the same... more
Ap Calculus Math Calculus

05/02/20

Which of the following functions grows the fastest as x grows without bound? Options: 1)  f(x) = x2 2)  g(x) = x2 + 5x 3)  h =  4)  They all grow at the same rate.
Ap Calculus Math Calculus

05/02/20

The graph of y = f '(x), the derivative of f(x), is shown below. List the intervals where the graph of f is increasing. Options: 1)  (-4, -2) U (2, 4) 2)  (-2, 2) 3)  (-4, 0) 4)  (0, 4)
Ap Calculus Math Calculus

05/02/20

Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5. Which of the following... more
Ap Calculus Math Calculus

05/02/20

The graph of f '(x) is continuous, positive, and has a relative maximum at x = 0. Which of the following statements must be true?Options: 1)  The graph of f is always concave down. 2)  The... more
Ap Calculus Math Calculus

05/02/20

#### Help with math, please anyone

Use the graph of f(t) = 2t + 4 on the interval [−4, 6] to write the function F(x), where .Options: 1)  F(x) = x2 + 6x 2)  F(x) = x2 + 4x - 12 3)  F(x) = x2 + 4x - 8 4)  F(x) = x2 +... more
Ap Calculus Math Calculus

05/02/20

#### Help with math, please anyone

Find the range of the function .Options: 1)  [-4, 4] 2)  [0, 4] 3)  [0, 4π] 4)  [0, 8π]
Ap Calculus Math Calculus

05/02/20

#### Help with math, please anyone

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

05/02/20

#### Help with math, please anyone

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

05/02/20

#### Help with math, please anyone

Let . Use your calculator to find F″(1).Options: 1)  12 2)  6 3)  4 4)
Ap Calculus Math Calculus

05/01/20

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 Right Hand Sum Approximation, using the... more
Ap Calculus Math Calculus

05/01/20

The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 12.Using a right Riemann sum with 5 subintervals estimate the total... more
Ap Calculus Math Calculus

05/01/20

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), g(x), f '(x), and g '(x). Find the value of h... more
Ap Calculus Math Calculus

05/01/20

#### Help needed with math, please and thank you

Which of the following functions grows the slowest as x goes to infinity? Options: 1)  5x 2)  5x 3)  x5 4)  They all grow at the same rate.
Ap Calculus Math Calculus

05/01/20

#### Help needed with math, please and thank you

Which of the following functions grows at the same rate as ?Options: 1)  x 2)  x2 3)  x3 4)  x4
Ap Calculus Math Calculus

04/30/20

#### Help needed with math, please and thank you

What does  show?Options: 1)  g(x) grows faster than f(x) as x goes to infinity. 2)  f(x) and g(x) grow at the same rate as x goes to infinity. 3)  f(x) grows faster than g(x) as x goes to... more
Ap Calculus Math Calculus

04/30/20

#### Help needed with math, please and thank you

Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity. Options: 1)  f(x) grows faster than g(x) as x goes to infinity. 2)  g(x) grows faster than f(x) as x goes... more
Ap Calculus Math Calculus

04/30/20

#### Help needed with math, please and thank you

Which of the following functions grows the fastest as x goes to infinity? Options: 1)  2x 2)  ln(x) 3)  sin(x) 4)  x20
Ap Calculus Math Calculus

04/30/20

#### I really need help with my homework. Thank you!

The graph of y = f ′(x), the derivative of f(x), is shown below. Given f(4) = 6, evaluate f(0).Options: 1)  -2 2)  2 3)  4 4)  10
Ap Calculus Math Calculus

04/30/20

#### I really need help with my homework. Thank you!

The graph below shows the graph of f (x), its derivative f ′(x), and its second derivative f ″(x). Which of the following is the correct statement? Options: 1)  A is f ′, B is f, C is f... more

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