# MATH140 Quiz 4 - Match each of the following graphs to the appropriate

Question # 00837224 Posted By: wildcraft Updated on: 01/15/2023 09:44 PM Due on: 01/16/2023
Subject Mathematics Topic General Mathematics Tutorials:
Question

MATH140 Quiz 4

1) Match each of the following graphs to the appropriate conditions for and . Explain.

I.

II.

III.

A.

B.

C.

D.

E.

Write the letter that corresponds to the correct graph:

(I) _ _________ (II) _ _________ (III) _ _________

2) Find the critical numbers for the function

(A)

(B)

(C)

(D)

(E) None of the above

2) _____________

3) Find the intervals on the -axis on which the function is increasing and those on which it is decreasing, where

3) _ _____________

(A) Decreasing on ; Increasing on .

(B) Increasing on ; Decreasing on .

(C) Increasing on ; Increasing on ; Decreasing on .

(D) Decreasing on ; Increasing on ; Decreasing on .

(E) None of the above

4) Find the maximum value of the function

4) _____________

(A) 2/3

(B) 1

(C) 7.75

(D) 16

(E) None of the above

5) Engineers want to design an auxiliary pipeline from a new natural gas source; 3 km from the main pipeline, to a power plant located 10 km down the main pipeline, in the least amount of time (see Figure 1). If the oil can flow 10 km/hr along the auxiliary pipeline (OB) and 15 km/hr along the main pipeline (AP), where should the engineers join the auxiliary pipeline to the main pipeline to get the gas to P as soon as possible?

Figure 1

Power Plant

Natural Gas Source

O

A

B

P

x

10

10 – x

3

5) _____________

(A) 0

(B) 0.89

(C) 0.97

(D) 6/

(E) None of the above

(6) Calculate the limits

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1. ## Solution: MATH140 Quiz 4 - Match each of the following graphs to the appropriate

Tutorial # 00832678 Posted By: wildcraft Posted on: 01/15/2023 09:44 PM
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