View the step-by-step solution to:

) Find the absolute maximum and the absolute minimum for the function f(t)= 2cost + sin2t at the interval [O, pi/2].) For the function f(x)= x 2...

1.) Find the absolute maximum and the absolute minimum for the function f(t)= 2cost + sin2t at the interval [O, pi/2].

2.) For the function f(x)= x2/(x-1), analyze and find the following:

          i. domain

          ii. vertical, horizontal, and slant asymptotes

          iii. local maximum and local minimum

          iv. intervals where the function is concave upwards, where it is concave downwards, and points of relfection

          v. graph the function using the results above and any other useful properties

3.) Evaluate the limits using L'Hopital's Rule

          i. lim(x->0) (ex-e-x-2x)/(x-sinx)

          ii. lim (x->infinity) (1+(a/x))b/x

4.) A box with a square base and open top must have a volume of 32,000cm3. Find the dimensions of the box that minimize the amount of material used.

Top Answer

The answer is... View the full answer

solnQ1.docx

We wish to find the absolute maximum and minimum values

Sign up to view the full answer

Other Answers

1. first, find the derivative and set it equal to 0. `f’(t)=-2sint+2cos2t=0` `-sint+cos2t=0` Using the double angle... View the full answer

IMG_20160720_172932_367[1].jpg

IMG_20160720_172959_332[1].jpg

IMG_20160720_173032_833[1].jpg

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask a homework question - tutors are online