(1 point) Let f(x, y)=xex2−yf(x, y)=xex2−y and P=(6,36)P=(6,36). (a) Calculate ∥∇fP∥‖∇fP‖. (b) Find the rate of change of ff in the direction ∇fP∇fP. (c) Find the rate of change of ff in the direction of a vector making an angle of 45∘45∘ with ∇fP∇fP. Answers : (a) (b) (c)

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

The weekly revenue for a company is r = 3p^2 + 60p + 1060, where p is the price of the company's product. what price will result in a revenue of $1200.

What is the approximate value of  q  in the equation below? –1.613–1.5220.5853.079