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...
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#### Help with Calc please!

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

#### Help with Calc please!

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...
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#### Help with Calc please!

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 +...
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#### Help with Calc please!

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...
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#### Help with Calc please!

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...
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#### Help with Calc please!

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.

#### Help with Calc please!

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)

#### Help with Calc please!

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...
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#### Help with Calc please!

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...
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#### 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 +...
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#### Help with math, please anyone

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

#### 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...
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#### 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...
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#### Help with math, please anyone

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

#### Please help me out with math, thank you

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...
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#### Please help me out with math, thank you

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...
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#### Please help me out with math, thank you

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...
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#### 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.

#### 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

#### 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...
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#### 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...
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#### 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

#### 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

#### 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...
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