217-zhu-07sp02

# 217-zhu-07sp02 - MATH 217 MIDTERM2(SPRING 2007 N ame...

This preview shows pages 1–7. Sign up to view the full content.

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

View Full Document

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

View Full Document

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 217: MIDTERM2 (SPRING 2007.) N ame:_______-__-___---___________-______- Section: -____- _____ TA:-___-_____________ Score: Problem 1.______r________-_____-l____ Problem 2 ____________________________ Problem 3 ____________________________ Problem 4.n---___-_________._____T__ Problem 5 ____________________________ Problem 6 Total:___-_r _____________________ Instruction: Show all work. No work = no credit, even if you have a correct answer. References and calculator are not allowed. ‘ Problem 1 (10 points): Find the volume of the solid generated by. revolving the region between the x-axis and the curve 3/ =_%, 1 S a: S 4, about the . x-axis. " V 20:4- Problem 2 (10 points): The function f(a:) = 3953;; is deﬁned on {0,+oo). Show that f is one to one. Then ﬁnd the expression of its inverse function. (You don’t have to specify the domain and range of its inverse function). Problem 3 (10 points): Use logarithm differentiation to compute f’ (x), where f(:z:) = (2x + 1F” , cc > —%. Then evaluate f’(0). , Problem 4 (20 points): Compute the following: (a) % Ink-953%) . Problem 5 (10 points): (a) Show that any two logarithm functions logaa: and logbx (here a, b > 1) have the same growth rate as a: ——> +00. (b) Show that :02 + sinx is of smaller order than 2x as cc —> +00, in other words, 3:2 + sinac = 0(2‘”). Problem 6 (10 points) Evaluate the following: (a) tan(sin‘1(%)) ' (b) cos—1(cos(——§—)) ...
View Full 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