ex 2.8
3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1

Question

31-01-2015
Mathematics

Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

ex 2.8
3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1

Sagot :

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.

Aiden works at the bookstore in the mall. In November, he earned $898. In December, he earned $425. How much money did he earn in those two months combined?

It takes 961.0 mL of a 0.112 M HCl solution to react completely with 395.0 mL of an NaOH solution. What is the concentration of the NaOH solution?HCl + NaOH --&

Jim and Ella are comparing their ages. They know that the sum of their ages is 33 and that Jim is 3 years older than 2 times Ella’s age.

4.- De las siguientes características cual no corresponde al arte abstracto.a) El arte abstracto es un género del arte moderno.b) Se caracteriza por la ausencia

Which of the following statements express the basic principles of healthy eating before, during, and after pregnancy? a) Drink whole milk.b) Eat lean protein fo

formula for the volume of a cone is V equals 1/3 pi R2 H where R is the radius of the cone and H is the height of the cone. Rewrite the formula to solve for the

They find pearls on their coasts, and diamonds andcarbuncles on their rocks; they do not look after them,but, if they find them by chance, they polish them, and

To recode a variable, what command is used in SAS? O Query Builder. O Standardize Data. O Transpose. O Create Format. O Data.

Ject the best answer for the question.■. Which term refers to a change in pitch or volume of a person's voice?O A. InflectionO B. Body languageOC. TempoOD. Tone

Do not go gentle into that good night,Old age should burn and rave at close of day;Rage, rage against the dying of the light.Though wise men at their end know d

konrad509 konrad509 · Answer 1 · 2015-01-31T09:47:25-05:00

[tex]y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\ y''(0)=20\cdot0^3=0[/tex]

The value of the second derivative for [tex]x=0[/tex] is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of [tex]5x^4[/tex] is always positive for [tex]x\in\mathbb{R}\setminus \{0\}[/tex]. That means at [tex]x=0[/tex] there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval [tex][-2,1][/tex].
The function [tex]y[/tex] is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.

[tex]y_{max}=y(1)=1^5-3=-2[/tex]

Sagot :

Other Questions