QUESTION 1

For the function f(x,y) = 2y2 + 3x2 , nd f(1, - 1), f( - 2,5), f( - 5, - 3), and f(0,9). f(1, - 1): (Type an exact answer, using radicals as needed.) f(- 2,5) = (Type an exact answer, using radicals as needed.) f(- 5, - 3) = E (Type an exact answer, using radicals as needed.) f(0,9)= (Type an exact answer, using radicals as needed.) Find an equation of the curve whose tangent line has a slope of f'(x) = 5X12Hs given that the point ( - 1, - 3) is on the curve. 12f13 The function f(x) satisfying f'(x) = 5x and f( - 1): - 3 is f(x) = (Type an exact answer.) Find all the local maxima, local minima. and saddle points of the given function. f(x,y) = 2x2 + 3xy + 4y2 + 6x - 7y Select the correct choice below and ll in any answer boxes within your choice. '3' A- There are local maxima located at (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) (:2- B. There are no local maxima. Select the correct choice below and ll in any answer boxes within your choice. '3' A- There are local minima located at (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) (:1- B. There are no local minima. Select the correct choice below and ll in any answer boxes within your choice. '3' A- There are saddle points located at (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) Cir B. There are no saddle points. The function f(x) = 800 represents the rate of ow of money in dollars per year. Assume a 15-year period at 4% compounded continuously. Find (A) the present value, and (B) the accumulated amount of money flow at t = 15. (A) The present value is 35 (Do not round until the nal answer. Then round to the nearest cent as needed.) (B) The accumulated amount of money ow att= 15 is $ (Do not round until the nal answer. Then round to the nearest cent as needed.)