April 16, 2014

Homework Help: calculus

Posted by Anonymous on Friday, October 26, 2007 at 12:31am.

Help! I have a test tommorow! I don't understand (b), (c), (e), and (g). The answers are listed following the each question. Here's a discription of the graph:

There is a graph of a function f consists of a semi circle (-3 to 1 faced downward on the x-axis) and two line segments. One segment is from (1,-1) to (2-1), and another segment is from (2,-1) to (3,1).

Let g(x)=S(1 to x)f(t)dt
(a) Find g(1)=0
(b) Find g(3)=-1
(c) Find g(-1)=-pi
(d) Find all values of x on the open interval (-3,4) at which g has a relative maximum. (answer:x=1)
(e) Write an equation for the line tangent to the graph of g at x=-1.
(f) Find the x-coordinate of each point of inflection of graph of g on the open interval (-3,4).
(answer:x=-1, x=2)
(g) Find the range of g.

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