A curve passes through the point (0,2) and has the property that the slope of the curve at every point PP is five times the yy-coordinate of PP. What is the equation of the curve?

Step-by-step explanation:

The slope of a curve is given by its derivative function. From the question, its value at any point (x, y) is 5 times y.

Integrate both sides

Don't forget the constant of integration

Since C is a constant, then is constant. Let's call it A.

At the point (0, 2), when x = 0, y = 2.

Hence,

its 4 because 2 times 2 is 4, if you double the number two you get four

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.