Fa2010-Prelim_2

# X a 4 points f x x 1 3 b 4 points f x log 10 2 c 4

• Notes
• 10
• 100% (1) 1 out of 1 people found this document helpful

This preview shows page 2 - 7 out of 10 pages.

x . (a) ( 4 points ) f ( x ) = x 1 / 3 (b) ( 4 points ) f ( x ) = log 10 2 (c) ( 4 points ) f ( x ) = tan(sin(4 x )) CONTINUE TO NEXT PAGE

Subscribe to view the full document.

Math 1110 Fall 2010 Prelim 2 October 28, 2010 3 Problem 1: (cont.) (d) ( 4 points ) f ( x ) = xe - x + e 3 x (e) ( 4 points ) f ( x ) = 4 x ln x CONTINUE TO NEXT PAGE
Math 1110 Fall 2010 Prelim 2 October 28, 2010 4 Problem 2: ( 15 points ) For each of the following functions, determine the derivative with respect to x . (a) ( 5 points ) f ( x ) = x tan( x ) ( Hint: Use logarithmic differentiation. ) (b) ( 5 points ) f ( x ) = e sin( x ) (c) ( 5 points ) f ( x ) = csc( x ) tan( x ) CONTINUE TO NEXT PAGE

Subscribe to view the full document.

Math 1110 Fall 2010 Prelim 2 October 28, 2010 5 Problem 3: ( 15 points ) Find the slope of the tangent line to the curve y 2 + xy = sin( xy )+1 at the point (0 , 1). CONTINUE TO NEXT PAGE
Math 1110 Fall 2010 Prelim 2 October 28, 2010 6 Problem 4: ( 15 points ) When a piece of the metal tungsten is heated to a high enough temperature, it begins to glow white hot. Tungsten is the material that glows in most incan- descent light bulbs. Nineteenth-century physicists experimentally discovered the following relationship between the power output P and the temperature T of the tungsten: P = kT 4 . This is called the Stefan-Boltzmann law. Note that in the above equation, k is a constant.

Subscribe to view the full document.

You've reached the end of this preview.
• Fall '06
• MARTIN,C.
• Continuous function

{[ 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