A student is asked to find the derivative of y = x sin2 (x) with respect to variable x, given x, y > 0. They provide the following dy dx = sin2 (x) · x sin2 (x)−1 · cos2 (x) Is the student correct? If the student is correct, then explain how they used derivative rules correctly to find this derivative. If the student is incorrect, then give the correct answer and provide an explanation that you would use to correct the student’s thinking.

Simplify.7x + 3y - 2 + 6x + 1 + y squared 2 you! ; )

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a.the profit when the unit price is equal to 0b.the unit price(s) when the profit is equal to 0c.the profit when the unit price is greatestd.the unit price(s) when profit is greatest

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer