{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

140Bmid2c

# 140Bmid2c - 1 Date Nov 5 2007 MATH 140B EXAMINATION 2 Print...

This preview shows pages 1–4. Sign up to view the full content.

1 Date: Nov 5, 2007 MATH 140B Print NAME: EXAMINATION 2 STUDENT NUMBER: FORM A There are 14 multiple choice questions each worth 5 points. The remaining 30 points are long answer questions on the last two pages. For each multiple choice answer, circle only one answer in your exam booklet and blacken the corresponding scantron sheet. The use of a calculator, cell phone, or any other electronic device is NOT permitted in this examination. The use of notes of any kind is NOT permitted during this exam. There are 15 problems on 10 numbered pages, including this cover page.

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

View Full Document
2 [ 5 ] 1. Compute the value of lim x →∞ parenleftbigg 1 - x 3 2 x 3 - 4 x + 1 parenrightbigg A) -∞ , B) - 1 / 2, C) 1, D) + , E) none of the above. [ 5 ] 2. Compute the value of lim x →−∞ parenleftbigg - 3 x 5 + x + 1 x 3 - 2 parenrightbigg A) -∞ , B) - 3, C) 0, D) + , E) none of the above. [ 5 ] 3. Let y = f ( x ) be a differentiable function on an interval I. Suppose f ( c ) = 0 , x = c is the only critical point of f on I, and f ′′ ( c ) > 0 . Which of the following 2 statements are correct? i) f has a relative minimum at x = c. ii) f has an absolute minimum at x = c. A) i) only, B) ii) only, C) neither statement is correct, D) both statements are correct
3 [ 5 ] 4. Given f ( x ) = x 4 + 4 x, which of the following 3 statements are correct? i) f ′′ ( x ) = 12 x 2 ii) f ′′ ( x ) = 0 when x = 0 . iii) There is a point of inflection at x = 0 . A) i) only, B) i) and ii) only, C) i) and iii) only, D) ii) and iii) only, E) all of the statements are correct. [ 5 ] 5. Use implicit differentiation to find the equation of the tangent line to the curve defined by xy 2 + 3 y = 1 at the point ( - 2 , 1) .

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.

{[ 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