Chapter 5.2, Problem 39E

Find all the local​ maxima, local​ minima, and saddle points of the function.   f(x,y)=5/(x^2+y^2−1)       Question content area bottom Part 1 Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.     A. A local maximum occurs at enter your response here. ​(Type an ordered pair. Use a comma to separate answers as​ needed.) The local maximum​ value(s) is/are enter your response here. ​(Type an exact answer. Use a comma to separate answers as​ needed.)   B. There are no local maxima. Part 2 Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.     A. A local minimum occurs at enter your response here. ​(Type an ordered pair. Use a comma to separate answers as​ needed.) The local minimum​ value(s) is/are enter your response here. ​(Type an exact answer. Use a comma to separate answers as​ needed.)   B. There are no local minima. Part 3 Select the…

Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = 4 - 3x - x intercept (x, y) = ) (smaller x-value) (x, y) = (larger x-value) relative minimum (x, y) = relative maximum (x, y) = point of infle ction (x, y) = Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) Use a graphing utility to verify your results. y 10 8. 6 2 2 -3 -1 1 2 3 -3 -2 -1 2 3 y y 10 10 8 8 6 2 -3 -2 -1 3 -3 -2 1 3 2. 2.

Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = x2 + 64 intercept (x, y) = relative minimum (x, y) = relative maximum (x, y) = points of inflection (х, у) %3D (smallest x-value) (x, y) = (x, y) = (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)

Нomеwork: 1. Find the max., min., inflection points and the intervals on which the functions increase, decrease, concave up and concave down. (a) y= 4x+6x² -6x-4 (b) y= x' -8 (d) y=(x- 2)3 2/5 (c) y=3x+(x-2)²5 2. Find the intervals on which f are: (i) Increasing and decreasing. (ii) Concave up and concave down. and the x-coordinate of all critical and inflection points. (a) y=x -5x+6 (b) y=(x+1)³ (c) y=x* -8x² +16 (d) y= 3x - 4x (e) y = () y = x+2 x² +2 1/3 (h) y = x" (x+2) *9 -x 4/3 (8) y=Vx+2 (i) y =x (G) y= cos x; [0,27] (k) y= sin² 2x ; [0,7) (1) y=2x+cot x; [0,7] (m) y= sin xcos x; [0,7]

Please solve for all steps, thank you!!

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