Practice Test 3a - ln(5 b Find the intersection of this tangent line with the x axis III(20 points At what rate is the volume of a sphere changing

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

View Full Document Right Arrow Icon
Prep Test IIIA for Calculus I, Math 1501C1, October 21, 2002 Name: This test is to be taken without calculators and notes of any sorts. The allowed time is 50 minutes. Write answers in boxes where provided. Provide exact answers; not decimal approximations! For example, if you mean 2 do not write 1 . 414 . . . .
Background image of page 1

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

View Full DocumentRight Arrow Icon
I: (20 points) Compute the derivatives of the functions a ) ln(1 + x 2 ) b ) arcsin(4 x 2 ) c ) cos(sin( x 2 )) d ) x 2 1 + cos( x 2 ) e) For f ( x ) a di±erentiable function, calculate the derivative of (1 - x ) 2 f ( x ) at x = 1.
Background image of page 2
II: (20 points) a) Find the equation of the tangent line to the graph of the function f ( x ) = ln(1 + x 2 ) at the point (2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: , ln(5)). b) Find the intersection of this tangent line with the x axis. III: (20 points) At what rate is the volume of a sphere changing at the instant when the surface area is increasing at the rate of 4 square centimeters per minute and the radius is increasing at the rate of 0.1 centimeter per minute? IV: (20 points) Find the minimum of the expression a ln( a ) + b ln( b ) among all positive numbers a, b > 0 with a + b = 1. V: (20 points) b) How many roots can the equation x 6 + 6 x 2 + x + 1 = 0 at most have?...
View Full Document

This note was uploaded on 02/07/2011 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Institute of Technology.

Page1 / 4

Practice Test 3a - ln(5 b Find the intersection of this tangent line with the x axis III(20 points At what rate is the volume of a sphere changing

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online