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,...

See similar textbooks

Similar questions

A southeast regional salesman has eight destinations that he must travel to this month: Atlanta, Raleigh, Charleston, Nashville, Jacksonville, Richmond, Mobile, and Jackson. How many different possible routes could he take?
A certain writing club has 4 authors and 5 poets.How many ways are there to form a group for a work session of 4 people? How many ways are there to form a group for a work session with 2 authors and 2 poets?
How many committees can be formed from 12 men and 12 women if the committee must consist of 3 men and 4 women?
A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients during the morning rounds?
A combination has 3 characters. The first is a letter(26 letters A-Z), The second and third characters are numbers 0-9, but cannot repeat the same number. How many possible combinations are there?
A kindergarten teacher has 9 books about a holiday. In how many ways can she select 3 of the books to read to her class in the week before the holiday?
Your company wants to assign identification numbers to each of its employees. The identification number will contain 5 numbers followed by 3 letters. If repetition is allowed, how many identification numbers can be generated? Show your work.
In a group of 50 students, 25 are taking Math, 20 are taking Science, and 10 are taking both Math and Science. How many students are not taking either Math or Science?
Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can you do this?
The call letters for radio stations begin with K or W, followed by 3 additional letters. How many sets of call letters having 4 letters are possible?