Show step by step how to do 13,14,15,16,17,18 ,19,20,21,22,23, 19. Let the graph below represent f'(x). For which values of x is fAx) increasing?2016 +128--21-234-8-12-16-2020. Determine the minimum function value for fx) = x' + 9x* + 5 on the interval [0, 3].21. A rectangle is to be placed in the first quadrant, with one side on the x-axis and one side on the y-axis, so therectangle lies below the line 2y + 6x = 18. Determine the dimensions of the rectangle that will yield amaximum area.22. The radius and height of a tank cannot exceed 5 m and 12 m respectively. Is it possible to construct a tankwith a volume of 900 m³? If it is possible, what are the restrictions on its radius?23. The cost, in dollars, to produce x t-shirts for a certain company is C(x) = 0.8x + 0.002x, x2 100. How muchproduction is needed to have a marginal cost of $5.00/t-shirt? Short Answer13. Starting from rest, a man runs 10 metres along a straight path in t seconds. His position can be described bythe function s() = 0.7. How long will it take him to reach the velocity of 4 m/s?CT14. Consider y = 4x + 5. Determine the average rate of change of y with respect to x between x = 1 and x= 6.AgC-15. Let the function s(t) = (3t - 7) describe the position of a particle at time t. When with respect to time t, is theparticle moving in a positive direction?16. Describe the particle's acceleration at time t = 2 s if its position is described by the function s(t) = t(2t – 1)*.Az17. Let s(t) = -5 + 40t + 1 describe a toy rocket's motion as it is launched vertically into the air. Determine themaximum height, in metres, that it reaches over the time interval 1 St< 5.3/518. For which values of x is there an absolute minimum for the function y = -MAX+ 2x?

Consider the given: Hello. Since your question has multiple parts, we will solve first question for…

Answered: 13. Starting from rest, a man runs 10…

13. Starting from rest, a man runs 10 metres along a straight path in t seconds. His position can be described by the function s(t) - 0.72. How long will it take him to reach the velocity of 4 m/s?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Show step by step how to do 13,14,15,16,17,18 ,19,20,21,22,23,

19. Let the graph below represent f'(x). For which values of x is fAx) increasing?
20
16 +
12
8-
-2
1-
2
3
4
-8
-12
-16
-20
20. Determine the minimum function value for fx) = x' + 9x* + 5 on the interval [0, 3].
21. A rectangle is to be placed in the first quadrant, with one side on the x-axis and one side on the y-axis, so the
rectangle lies below the line 2y + 6x = 18. Determine the dimensions of the rectangle that will yield a
maximum area.
22. The radius and height of a tank cannot exceed 5 m and 12 m respectively. Is it possible to construct a tank
with a volume of 900 m³? If it is possible, what are the restrictions on its radius?
23. The cost, in dollars, to produce x t-shirts for a certain company is C(x) = 0.8x + 0.002x, x2 100. How much
production is needed to have a marginal cost of $5.00/t-shirt?

Short Answer
13. Starting from rest, a man runs 10 metres along a straight path in t seconds. His position can be described by
the function s() = 0.7. How long will it take him to reach the velocity of 4 m/s?
CT
14. Consider y = 4x + 5. Determine the average rate of change of y with respect to x between x = 1 and x= 6.
Ag
C-
15. Let the function s(t) = (3t - 7) describe the position of a particle at time t. When with respect to time t, is the
particle moving in a positive direction?
16. Describe the particle's acceleration at time t = 2 s if its position is described by the function s(t) = t(2t – 1)*.
Az
17. Let s(t) = -5 + 40t + 1 describe a toy rocket's motion as it is launched vertically into the air. Determine the
maximum height, in metres, that it reaches over the time interval 1 St< 5.
3/5
18. For which values of x is there an absolute minimum for the function y = -
MAX
+ 2x?

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