exam1_wi06

exam1_wi06 - 4 6 8 10 12 14 16 f ( x ) 80 52 40 31 23 17 11...

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

View Full Document Right Arrow Icon
Name: Section Number: TA Name: Section Time: Math 10B. Midterm Exam 1 January 30, 2006 Turn of and put away your cell phone. Read each question careFully, and answer each question completely. Show all oF your work. No credit will be given For unsupported answers. Write your solutions clearly and legibly. No credit will be given For illegible solutions. 1. (4 points) Suppose that f and g are continuous functions such that Z 5 0 f ( x ) dx = 5 , Z 5 4 f ( x ) dx = 11 , Z 5 0 g ( x ) dx = 3 , and Z 5 4 g ( x ) dx = - 3 . Find the value of each of the following de±nite integrals: (a) Z 4 0 f ( x ) dx (b) Z 5 4 [ g ( x ) - f ( x )] dx (c) Z 5 - 5 f ( x ) dx , given that f is an even function (d) Z 4 - 4 g ( x ) dx , given that g is an odd function # Score 1 2 3 4 Σ
Background image of page 1

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

View Full DocumentRight Arrow Icon
2. (4 points) Values of a function f for 0 x 16 are tabulated below. x 0 2
Background image of page 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: 4 6 8 10 12 14 16 f ( x ) 80 52 40 31 23 17 11 5 (a) Find an upper estimate for Z 16 f ( x ) dx using 4 subintervals ( n = 4). (b) Find an upper estimate for Z 16 f ( x ) dx using 8 subintervals ( n = 8). 3. (4 points) Let f ( x ) be a function whose derivative is graphed below. 1 2 3 4 5 6-2-1 1 2-1 f (x) (a) At what value(s) of x does the graph of f (not shown) have a local minimum? (b) Suppose f (0) = 3. Use the graph to compute the value of f (5). 4. (4 points) Find the area of the region between the curves y = 3 cos( x ) and y = 3 sin( x ) for 4 x 2 ....
View Full Document

Page1 / 4

exam1_wi06 - 4 6 8 10 12 14 16 f ( x ) 80 52 40 31 23 17 11...

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