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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?

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)
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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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?
Transcribed Image Text: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?
Transcribed Image Text: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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