William Willke
Sept. 1, 2016
TECH201
Position, velocity, and acceleration Suppose the position of an object moving horizontally after t seconds
is given by the following functions
s=f (t) , where s is measured in feet, with s>0 corresponding to
positions

Since my initials are W and W, I have created a piecewise function with two trigonometric functions for
this discussion.
My functions are:
x
2
, x<2
x
2
, x2
sin
f ( x )=
The domain includes all real numbers
( , ) . This is due to the continuing nature

24) Ladder against the wall again A 12-ft ladder is leaning against a vertical wall when Jack begins
pulling the foot of the ladder away from the wall at a rate of 0.2 ft/s. What is the configuration of the
ladder at the instant that the vertical speed of

Student: Angela Acosta Instructor: Susan Webber Assignment: Sec. 262
Date: 2/7/16 Course: Tech201 Spring 1 2016
Time: 3:37 PM Book: Washington: Basic Technical
Mathematics with Calculus, lOe
A coffee-table top is designed to be the region between y : 0.

I chose to use f(x) = x2+1 over the interval x=0 and x=6 using the midpoint
Riemann sum using 2 rectangles.
x =
ba
n
=
60
2
=3
Midpoints:
x
( 0+ x 1) 0+3
=
=
2
2
x 01=
1.5
x
( 1+ x 2) 3+6
=
=
2
2
x 12=
4.5
Then I substituted these values into my chosen eq