If y = e2x is a solution to y''- 5y' + ky = 0, what is the value of k?

The value of k is 6

Step-by-step explanation:

we need to find the value of k

Given : - is the solution

                              ........(1)                  

differentiate   with respect to 'x'

Since,

so,                     ..........(2)

Again differentiation above with respect to 'x'

so,                         ........(3)

Now, put the value of in

add both the sides by

Cancel out the same terms from left and right sides

Hence, the value of k is 6

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

what are the statments

step-by-step explanation: