Answer:
100.5cm2
Step-by-step explanation:
v=pi(r)2(h)
v=3.14(2)2(8)
v=3.14(4)(8)
v=100.48
v=100.5cm2
Answer:
m = 12
Step-by-step explanation:
For f(x) = 2x² you want to find the slope m using ...
m = (f(x+h) -f(x))/h
at x=3.
Filling in the function definition and its arguments, we have ...
m = (2(x+h)² -2x²)/h = (2x² +4hx +2h² -2x²)/h = 4x +2h
The value of this as h goes to zero is ...
m = 4x
At x=3, the slope is ...
m = 4·3 = 12
_____
The attached graph shows a numerical estimate of the slope (f'(3)=12) and the line with that slope through the point P(3, 18). The line certainly appears to be tangent to the curve at that point.
Answer:
opt. B
Step-by-step explanation:
g=60 because equilateral triangle ang=60
<KMN=120 because of linear pair
<h= 180-(120+29)= 31
g+h= 60+31= 91