Find all the local maxima, local minima, and saddle points of the function. f(x,y)=2xy-x²-6y² + 2x +4 ... Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are. (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local maxima.

Compare the table of values for f(x) and g(x). What is the ordered pair for the larger y-intercept?

SIdes). r radius Areas = nr h height Area = h(2xr) Circumference 2ar Part a: Assume that the height of your cylinder is 6 inches. Consider A as a function of r, so we can write that as A (r) = 2 rr² + 12 ar. What is the domain of A (r)? In other words, for which values of r is A (r) defined? Part b: Continue to assume that the height of your cylinder is 6 inches. Write the radius r as a function of A. This is the inverse function to A (r), i.e., to turn A as a function of r into r as a function of A r(A) = Hints: • To calculate an inverse function, you need to solve for r. Here, you would start with A = 2 Tr2 + 12 Tr. This equation is the same as 2 rr2 + 12 rr - A 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. You will want to keep A as a variable when you plug the values into the quadratic formula. 3 п+1 r+1 • If you want to type in in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is more information in the…

Find all the local maxima, local minima, and saddle points of the function. f(x,y) = − 7x² - 4xy – 8y² + 32x+24y+4 - Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are. (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. A local minimum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local minimum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local minima. Find the saddle points. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no…