Answer: h(x) = 3*x^2 - 7*x + 8
Step-by-step explanation:
The rate of change of a function is equal to the derivate:
remember that a derivate of the form:
k(x) = a*x^n is k'(x) = n*a*x^(n-1)
Then we have:
f(x) = 2*x - 10
f'(x) = 1*2* = 2
g(x) = 16*x - 4
g'(x) = 1*16 = 16
h(x) = 3*x^2 - 7*x + 8
h'(x) = 2*3*x - 1*7 = 6*x - 7
So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)
Answer:
2.4
Step-by-step explanation:
Answer:
Slope: 1/4
Step-by-step explanation:
Answer: 3 units
Step-by-step explanation:
the volume of a cone C = πr²h/3
C = 18π, h =2x, r = diameter/2 = 2x/2 =x
18π = π* x²* 2x/3
divide through by π
18 = x² * 2x/3
multiply through by 3
54 = 2x³
divide through by 2
27 = x³
x =∛27 = 3
x = 3 units = radius
