Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ),...

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Prerequisites for Calculus

Transcript of Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ),...

Page 1: Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are and.

Prerequisites for Calculus

Page 2: Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are and.

Def: Increments

• If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are

• and

1 1,x y

2 2,x y

2 1x x x 2 1y y y

Page 3: Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are and.

Def: Slope of a Line

• Let and be points on a non-vertical line, L. The slope of L is

• m = = =

1 1 1( , )P x y 2 2 2( , )P x y

rise

runy

x

2 1

2 1

y y

x x

Page 4: Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are and.

Name the four equations of lines and define each of them

1.

2.

3.

4.

Page 5: Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are and.

Write an equation for the line through the point (3, 5) and is both parallel and perpendicular to the line y = 2x +4

Page 6: Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are and.

Determine a function with the given parameters

X f(x)

-1 14/3

1 -4/3

2 -13/3

Page 7: Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are and.

Do example 9 on page 7

Page 8: Prerequisites for Calculus. Def: Increments If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are and.

Hwk: p. 9, #1-37 odd, 41,45,47-52


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