Answer:
f(g(h(x))) = (sqrt(x) - 1)^4 + 4
Step-by-step explanation:
f(x) = x^4 + 4
g(x) = x - 1
h(x) = sqrt(x)
g(h(x)) = sqrt(x) - 1
f(g(h(x))) = (sqrt(x) - 1)^4 + 4
Answer:

Step-by-step explanation:
1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration

2) In this case, we'll need to find the derivative applying the chain rule. As it follows:

3) To test it, just integrate:

Answer:
x=2
Step-by-step explanation:
y=-x+4 y=3x
3x=x+4
2x=4
x=2
(I hope this is the answer)
The formula for the volume of a cylinder is pi x radius^2 x height, so after substituting the values, we get 3.14 x 3^2 x 4. First, we find the value of 3^2, which is 9. 3.14 x 9 equals 28.26, so now we have 28.26 x 4, which gives us 113.04. So the volume of the cylinder is 113.04. :)