SOLUTION: Please explain how to solve these rate of change problems. a. h(t) = t^2 + 2t; t = −1, t = 5 b. g(x) = 1/x; x = 5, x = a c. f(t) = 6/t; t = a, t = a + h

Algebra ->  Functions -> SOLUTION: Please explain how to solve these rate of change problems. a. h(t) = t^2 + 2t; t = −1, t = 5 b. g(x) = 1/x; x = 5, x = a c. f(t) = 6/t; t = a, t = a + h      Log On


   

Question 903555: Please explain how to solve these rate of change problems.
a. h(t) = t^2 + 2t; t = −1, t = 5

b. g(x) = 1/x; x = 5, x = a

c. f(t) = 6/t; t = a, t = a + h
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a. h%28t%29+=+t%5E2+%2B+2t ;
if t+=+-1 , than
h%28-1%29+=+%28-1%29%5E2+%2B+2%28-1%29
h%28-1%29+=+1+-+2
h%28-1%29+=++-+1

if t+=+5, than
h%285%29+=+%285%29%5E2+%2B+2%285%29
h%285%29+=+25+%2B10
h%285%29+=++35



b. g%28x%29+=+1%2Fx; x+=+5, x+=+a
if x+=+5, than
g%285%29+=+1%2F5

if x+=+a, than
g%28a%29+=+1%2Fa

c. f%28t%29+=+6%2Ft; t+=+a, t+=+a+%2B+h

if t+=+a, than
f%28a%29+=+6%2Fa

if t+=+a%2Bh, than
f%28a%2Bh%29+=+6%2F%28a%2Bh%29