View the step-by-step solution to:

Question

1) The altitude (in feet) of a rocket t sec into flight is given by

s=f(t)=

-t3+60t2+570t+6


Find the point of inflection of the function f.

(t,s)=?


What is the maximum velocity attained by the rocket?


2)The total annual revenue R of a certain resort hotel is related to the amount of money x the hotel spends on advertising its services by the function

R(x)= -0.002x3+1.5x2+5x+7000

where both R and x are measured in thousands of dollars


(a) Find the interval where the graph of R is concave upward (use interval notation.)

Find the interval where the graph of R is concave downward (use interval notation.)


(b) What is the inflection point at the graph of R?


(c) Would it be more beneficial for the hotel to increase its advertising budget slightly when the budget is $240,000 or when it is $260,000?

Top Answer

Q>1. So, inflection point is (t,s)= ( 20, 27406) So, maximum velocity is V(max)= V(20)= 1770 ft... View the full answer

Sign up to view the full answer

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.

  • -

    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