88 ft require it.................
Answer:
-2x + 2 - h
as h approaches 0 this approaches -2x + 2.
Step-by-step explanation:
Difference quotient:
= -(x + h)^2 + 2(x + h) - (-x^2 + 2x) / h
= - (x^2 + 2hx + h^2) + 2x + 2h + x^2 - 2x / h
= -x^2 - 2hx - h^2 + 2x + 2h + x^2 - 2x / h
= (-2hx + 2h - h^2) / h
= -2x + 2 - h
As h approaches zero this approaches -2x + 2 which is the derivative of the function.
To obtain the domain and the range, I will give you the graph of the section so that you can understand better.
<span>4x^2+25y^2=100
The range:
set y=0, and solve for x:
4x^2=100
x^2=25
x=+/-5
thus the domain is:
[-5,5]
Range:
set x=0 and solve for y:
25y^2=100
y^2=4
y=+/-2
thus the range is:
[-2,2]</span>