Number
Question
Answer
See the work
1.
Find the antiderivatives for

P = + C.
The work Point Cost: 1
2.
Find the antiderivatives for

y = + C.
The work Point Cost: 1
3.
Find the antiderivatives for

y = + C.
The work Point Cost: 1
4.
Consider the function .
Enter an antiderivative of f(x)
The work Point Cost: 1
5.
Find the most general antiderivative for the function y(t) =
.
Antiderivative of y(t) = + C.
y(t) =
The work Point Cost: 1
6.
Find the most general antiderivative for the function
.
Antiderivative = + C.
The work Point Cost: 1
7.
Find the most general antiderivative for the function
.
Antiderivative = + C.
The work Point Cost: 1
8.
Let .
Enter an antiderivative of f(x)
The work Point Cost: 0
9.
Find the antiderivatives for

x = + C.
The work Point Cost: 1
10.
Let .
Enter an antiderivative of f(x)
+ C
The work Point Cost: 1
11.
Let .
Enter an antiderivative of f(x)
The work Point Cost: 1
12.
Find the most general antiderivative for the function
.
Antiderivative = + C.
The work Point Cost: 1
13.
Find the most general antiderivative for the function
.
Antiderivative = + C.
The work Point Cost: 1
14.
Find an antiderivative for
.
Antiderivative =
The work Point Cost: 1
15.
Find an antiderivative for the function
.
Antiderivative =
.
The work Point Cost: 1
16.
Find an antiderivative for the function
.
Antiderivative =

The work Point Cost: 1
17.
Find the particular antiderivative that satisfies the following conditions:

R(x) =
The work Point Cost: 2
18.
Consider the function .
Let F(x) be the antiderivative of f(x) with F(1) = 0.
Then F(x) =
The work Point Cost: 2
19.
Consider the function .
Let F(t) be the antiderivative of f(t) with F(0) = 0.
Then F(t) equals
The work Point Cost: 2
20.
Given and f(0) = 5,

find f(x) =

The work Point Cost: 2
21.
Find the particular antiderivative that satisfies the following conditions:

p(x) =
The work Point Cost: 2
22.
Find the particular antiderivative that satisfies the following conditions:

p(x) =
The work Point Cost: 2
23.
Find the particular antiderivative that satisfies the following conditions:

M =
M =
The work Point Cost: 2
24.
Find the particular antiderivative that satisfies the following conditions:

y =
The work Point Cost: 2
25.
Find the particular antiderivative that satisfies the following conditions:

x =
The work Point Cost: 2
26.
Consider the function f(x) whose second derivative is
. If f(0) = 2 and
f'(0) = 4, what is f(x)?
The work Point Cost: 3
27.
Given with f''(0)=4, f'(0)=6,
then f(x) = + C.
The work Point Cost: 3
28.
Given that the graph of f(x) passes through the point
( 2, 9 ) and that the slope of its tangent line
at (x , f(x)) is 3 x + 5, what is f(5)?
f (5) = 55.5
The work Point Cost: 3
29.
A particle is moving with acceleration a(t) = 30 t + 2.
its position at time t =0 is s(0) = 15 and
its velocity at time t =0 is v(0) = 5.
What is its position at time t = 11?
s (11) = 6846
The work Point Cost: 3
30.
A car traveling at 43 ft/sec decelerates at a
constant 4 feet per second squared. How many feet does the
car travel before coming to a complete stop?

231.125 ft
The work Point Cost: 3
31.
A ball is shot straight up into the air with initial velocity of
48 ft/sec. Assuming that the air resistance
can be ignored, how high does it go?

*Acceleration due to gravity is 32 ft/sec^2

36 ft
The work Point Cost: 3
32.
A stone is thrown straight up from the edge of a roof,
675 feet above the ground, at a speed of 20
feet per second.
A. The acceleration due to gravity
is -32 feet per second squared, how high is the stone 4
seconds later?
B. At what time does the stone hit the ground?
C. What is the velocity of the stone when it
hits the ground?
A) 499 ft
B) 7.15 s
C) -208.81 ft/sec
The work Point Cost: 3
33.
A stone is dropped from the edge of a roof,
and hits the ground with a velocity of -200
feet per second. How high (in feet) is the roof?
625 ft
The work Point Cost: 3