Homework 4

due Tuesday, October 3.

2.4: 6, 8, 14, 16, 22, 26, 28, 40, 46, 58, 64,

2.5: 12, 16,

2.6: 4, 8, 14, 16, 22, 26, 32, 34, 36, 40, 48, 58, 60,

Additional MathCad Homework

These questions have double weight, compared to an ordinary homework question.

Point-Slope Formula

Create a MathCad sheet where you plug in the slope and one point, and which automatically computes the linear function through the point having this slope, and also displays it, with x between -3 and 5.

Two-Point Formula

Create a MathCad sheet where you just have to give the coordinates of two points, and which automatically computes the formula of the linear function through both, and displays it with x between -3 and 5.

Roller-Coaster

The following is a roller-coaster. The car moves from left to right with a constant horizontal speed of 1meter/second. At what points is the vertical acceleration maximum? How large is this vertical acceleration then? The equation of the curve is Can you design another roller-coaster that also starts and ends 5 meter high (at x=0 and x=10), goes down to height 1 between, and has maximum vertical acceleration smaller than 0.42?

Erich Prisner, September 2005