Numerically estimate the slope of y = f(x) at r = a. 1. f(x) = x^2 - 2x, a = 2 2. f(x) = sin 2x, a = 0

1. Slope at a=2 is 2.

2. Slope at a=0 is 2.

Step-by-step explanation:

We need to find the slope of y = f(x) at x = a.

1.

The given function is

It can be written as

Differentiate with respect to x.

Substitute x=2 to find the slope of y = f(x) at a=2.

Therefore the slope of function at a=2 is 2.

2.

The given function is

It can be written as

Differentiate with respect to x.

Substitute x=0 to find the slope of y = f(x) at a=0.

Therefore the slope of function at a=0 is 2.

ryan had a head start of 10 meters.

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.