If f(x)= cos(t^2)dt for -2.5≤x≤2.5, on which interval is f increasing?

[-2.5, 2.17) U (-1.25, 1.25) U (2.17, 2.5]

Step-by-step explanation:

Function is increasing when

f'(x) > 0

f'(x) = cos(x²)

cos(x²) > 0

When x² is:

0《x² < pi/2

3pi/2 < x²《2.5²

0《x² < 1.570796327

-1.253314137 < x < 1.253314137

4.71238898 < x²《6.25

-2.5《x < 2.170803764

2.170803764 < x《2.5

Part A: Total cost = 10 + 4s

Part B: Solving for s = 2

10 + 4 * 2 = US$ 18

Correct statement and question:

Write an expression to represent admission to a zoo of $10.00 and the cost of special exhibits s at $4 each. Evaluate your expression when s = 2.

Source: https://www.slader.com/discussion/question/write-an-expression-to-represent-admission-to-a/

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Admission to the zoo = US$ 10

Special exhibit cost (s) = US$ 4

2. Evaluate your expression when s = 2

Total cost = Cost of admission + (s) * Special exhibit cost

Total cost = 10 + (s) * 4

Total cost = 10 + 4s

3. Solving for s = 2

10 + 4s

10 + 4 * 2 = US$ 18