The function y satisfies a differential equation of the form y' = ky for some number k. if you are told that when t = 3 that y is 2 and the rate of change of y is 4 then what is k?

The value of is 2.

In this case we have an ordinary linear differential equation with separable variables:

(1)

If we know that and , then the value of is:

The value of is 2.

We kindly invite to check to this question on differential equations: link

is a separable ODE:

Integrating both sides and solving for , we get

Given that , we know

We also have

and given that , we know

Then

So it must the case that .

the first one, all those points on the line just make a strait line.

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: