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III

Test: Math 178 Final Exam –

Intersession 2022

Question 25 of 25

This test: 25 point(s)

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point(s) possible

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Find the number of units that must be produced and sold in order to yield the maximum profit, given the equations below for revenue and cost.

R(x) = 4x

C(x) = 0.01x² +0.9x +40

A. 155 units

B. 490 units

O C. 245 units

D. 310 units

лу

Use the graph of G shown to the right to find the limit. If necessary, state that the

limit does not exist.

ob

6-

lim G(x)

0

x+1

a

X

Select the correct choice below and, if necessary, fill in the answer box to complete

your choice.

6-

O A.

lim G(x) =

X-1

8

ID

B. The limit does not exist.

When an object is dropped on a certain earth-like planet, the distance it falls in t seconds, assuming that air resistance is negligible, is given by

s(t) = 1312

where s(t) is in feet. Suppose that a medic’s reflex hammer is dropped from a hovering helicopter. Find (a) how far the hammer falls in 4 sec, (b) how fast the hammer

is traveling 4 sec after being dropped, and (c) the hammer’s acceleration after it has been falling for 4 sec.

feet in 4 seconds.

(a) The hammer falls

(Simplify your answer.)

ft/sec 4 seconds after being dropped.

(b) The hammer is traveling

(Simplify your answer.)

ft/sec/sec after it has been falling for 4 sec.

(c) The hammer’s acceleration is

(Simplify your answer.)

Find f such that the given conditions are satisfied.

f'(x) = x² + 9, f(0) = 6

2

o

3

х

O A. f(x) =

+ 9x

3

를

3

OB. f(x) = x2 + 9x² + 6

OC. f(x) = 3

W-6

3

3

Х

+ 9x + 6

3

OD. f(x)= x + 9x +6

Evaluate.

f(3x® -73°+9) dx

7x

8

Зх

7x

7

9

-x4

3

7

9

ОВ.

–

4

-x +

3

3

O A. Oxº-**** +9x+C

***-**** +9x+C

X-

– *****

O D. 9×09 – x* +9x+C

7

9

C.

4

-x’ + 9x + C

4

7

x + + C

4

4

III

Test: Math 178 Final

Exam – Intersession

2022

Question 21 of

25

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A particle is released during an experiment. Its speed t minutes after release is given by v'(t) = – 0.25t+8t, where v(t) is in

kilometers per minute. How far does the particle travel during the first 14 minutes?

A. 882.00 km

B. 63.00 km

C. 784 km

D. 555.33 km

Test: Math 178 Final

Exam – Intersession

2022

Question 17 of

25

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A grocery store estimates that the weekly profit (in dollars) from the production and sale of x cases of soup is given by

P(x) = – 5,500+ 9.5x -0.0018x? and currently 1,400 cases are produced and sold per week. Use the marginal profit to

estimate the increase in profit if the store produces and sells one additional case of soup per week. Round to the nearest

cent.

A. $5.52

B. $4.46

C. $4,272.00

D. $6.98

Test: Math 178 Final Exam – Intersession 2022

<
Question 18 of 25
>

This test: 25 point(s) possible

This question: 1 point(s) possible

Graph the function and then find the specified limits. When necessary, state that the limit does not exist.

3x + 12, for x< - 4
F(x) =
; Find
lim F(x), lim F(x), lim F(x).
X-4-
X-4* X-4
X,
for x2 -4
Choose the correct graph below.
A.
O
B.
OC.
D.
>

10

Find

lim F(x). Select the correct choice below and, if necessary, fill in the answer box within your choice.

-寸1TX

O A.

lim F(x) =

X-4-

B. The limit does not exist.

Find lim F(x). Select the correct choice below and, if necessary, fill in the answer box within your choice.

x+-4

A.

lim F(x) =

X-4+

B. The limit does not exist.

Find lim F(x). Select the correct choice below and, if necessary, fill in the answer box within your choice.

X-4

OA

lim F(x)=

X-4

B. The limit does not exist.

Test: Math 178 Final Exam – Intersession 2022

<
Question 18 of 25
>

This test: 25 point(s) possible

This question: 1 point(s) possible

Graph the function and then find the specified limits. When necessary, state that the limit does not exist.

3x + 12, for x< - 4
F(x) =
; Find
lim F(x), lim F(x), lim F(x).
X-4-
X-4* X-4
X,
for x2 -4
Choose the correct graph below.
A.
O
B.
OC.
D.
>

10

Find

lim F(x). Select the correct choice below and, if necessary, fill in the answer box within your choice.

-寸1TX

O A.

lim F(x) =

X-4-

B. The limit does not exist.

Find lim F(x). Select the correct choice below and, if necessary, fill in the answer box within your choice.

x+-4

A.

lim F(x) =

X-4+

B. The limit does not exist.

Find lim F(x). Select the correct choice below and, if necessary, fill in the answer box within your choice.

X-4

OA

lim F(x)=

X-4

B. The limit does not exist.

Test: Math 178 Final

Exam – Intersession

2022

Question 2 of 25

This test:

25 point(s)

possible

This

question:

1 point(s)

possible

Find the doubling time for an amount invested at a growth rate 12% per year compounded continuously.

A. 5.8 years

B. 5.0 years

C. 8.3 years

D. 7.4 years

Test: Math 178 Final

Exam – Intersession

2022

Question 2 of 25

This test:

25 point(s)

possible

This

question:

1 point(s)

possible

Find the doubling time for an amount invested at a growth rate 12% per year compounded continuously.

A. 5.8 years

B. 5.0 years

C. 8.3 years

D. 7.4 years

Find the equation of the tangent line at x = 7 for f(x) = 6-x?. Write the answer in the form y=mx+b.

O A. y = 14x-55

B. y= – 14x + 55

C. y = 7x + 55

OD. y= – 2x

оо

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Explanation & Answer:

25 Questions

Tags:

mathematics

equations

revenue and cost

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