8 suppose an object moves a long a straight line

• Notes
• 6

This preview shows pages 2–6. Sign up to view the full content.

8. Suppose an object moves a long a straight line where its acceleration is given by 3cos a t . Find the velocity v and position s for the object’s motion if it is known that (0) 2 v and (0) 4 s

This preview has intentionally blurred sections. Sign up to view the full version.

CALCULUS 1, TEST 4 3 PART 2. Part 2 consists of 4 problems worth 13 points apiece. Show all your work for full credit! Displaying only the final answer (even if correct) without the relevant steps is not enough. 1. Show how you use calculus to find two positive numbers whose product is 20 and whose sum is a minimum. 2. A rectangle has a perimeter (length around the outside) of 120 ft. Find the dimensions which make the area as large as possible.
CALCULUS 1, TEST 4 4 3. For the function 2 2 9 ( ) 4 x f x x , determine a. the domain of f, b. the x and y intercepts if any . c. the vertical asymptotes, if any d. the horizontal asymptotes, if any (show work here to justify your answer) e. Use symmetry tests to find any symmetry that exists.

This preview has intentionally blurred sections. Sign up to view the full version.

CALCULUS 1, TEST 4 5 4. Suppose f is a function whose derivatives are as follows: 2 3 4 2 ( ) x f x x and 5 3 8( 2) ( ) 3 x f x x  Suppose it is also known that the domain of the function is the interval ( , )   ; the x-intercepts are (-1, 0) and (0, 0); and that there are no vertical or horizontal asymptotes for the graph of f . a. On what open interval(s) is the function f increasing? ________________ On what open interval(s) is the function f decreasing? ________________ b. On what open interval(s) is the graph of the function f concave upward? _________________ On what open interval(s) is the graph of the function f concave downward? _________________ b. Graph the function f , based on the information above, and indicate the x-values of any local maximum or minimum points (you won’t know the exact y -values for the max/min points).
CALCULUS 1, TEST 4 6 SCRATCH PAPER
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern