Suppose the functions f and g and their derivatives have the following values at x=1 and x=2. let h(x) = f(g( evaluate h'(1).

Step-by-step explanation:

Given:

The values of are given as:

Differentiating both sides with respect to 'x'. This gives,

Now, in order to find , plug in 1 for 'x'. This gives,

Now, plug in

Now, plug in

Hence, the value of is .

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !