![cinthyafleitas](/avatars/3660.jpg)
cinthyafleitas
28.11.2019 •
Mathematics
Find the absolute maximum and absolute minimum values of f on the given interval.
a) f(t)= t sqrt(36-t^2) [-1,6]
absolute max=
absolute min=
b) f(t)= 2 cos t + sin 2t [0,pi/2]
absolute max=
absolute min=
Solved
Show answers
More tips
- H Health and Medicine How to Tan in a Tanning Bed? Tips and Recommendations...
- W Work and Career What is the Most In-Demand Profession in the Modern World?...
- A Auto and Moto How Can Parking Sensors Help Drivers?...
- H Health and Medicine What is the Normal Blood Sugar Level in a Healthy Person?...
- F Food and Cooking Red Caviar: How to Choose the Best?...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
Answers on questions: Mathematics
- M Mathematics Evaluate 9sigma n=5 3n+2...
- M Mathematics Plz helpwill give the brainliest!!need step by step explanation....
- M Mathematics Please answer this.......
- M Mathematics Which is the correct way to show that (2, 3) is a solution to the following system of inequalities? y - X - 4 2y - 5 1. 3 - 2 -4 TRUE 2(3) – 5 2 TRUE 2. 3 - 2 - 4 TRUE 2(2) – 5 3...
- M Mathematics The formula for an arithmetic series is shown below, where n = 1, 2, 3 ... f(n + 1) = f(n) + 8 If f(1) = 5, what are the fourth, fifth, and sixth terms in the sequence?...
- M Mathematics Answer for all please...
- M Mathematics 1. The population growth of a small town is modeled by the function P(t) = 6545.52e^0.149t where is the populationand is the number of years since 1980. A. What is the growth rate...
- M Mathematics At a carnival, contestants are asked to keep rolling a pair of dice until they roll snake eyes. The number of rolls needed has a mean of 36 rolls, with a standard deviation of 5.4...
- M Mathematics Which of the following is a solution of the system x – 2y 4 and y – 2x – °5? o (1, -4) 0 (-8, 2) O (0,0) 0 (-3,0)...
- M Mathematics The population of a city is 100,000 and the annual growth rate is of 4.2%. Write an equation to model the population y after x years....
Ответ:
absolute max= (4.243,18)
absolute min =(-1,-5.916)
absolute max=(pi/6, 2.598)
absolute min = (pi/2,0)
Step-by-step explanation:
a)![f(t) = t\sqrt{36-t^2} \\](/tpl/images/0394/3738/8283b.png)
To find max and minima in the given interval let us take log and differentiate
It is sufficient to find max or min of Y
In the given interval only 4.243 lies
And we find this is maximum hence maximum at (4.243,18)
Minimum value is only when x = -1 i.e. -5.916
b)![f(t) = 2cost +sin 2t\\f'(t) = -2sint +2cos2t\\f"(t) = -2cost-4sin2t\\](/tpl/images/0394/3738/36d3a.png)
Equate I derivative to 0
-2sint +1-2sin^2 t=0
sint = 1/2 only satisfies I quadrant.
So when t = pi/6 we have maximum
Minimum is absolute mini in the interval i.e. (pi/2,0)
Ответ: