Use logarithmic differentiation to find the derivative of the function. y  =  x^8  sin(x)

Step-by-step explanation:

Since we have given that

By using logarithmic on both sides we get,

(∵ )

Now, differentiating on both sides ,we get,

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere