Problem #10: Consider the following function.g(x, y) = e-4x² - 61² + 12√5 yProblem # 10(a):Problem #10(b):(a) Find the critical point of g.If the critical point is (a, b) then enter 'a,b' (without the quotes) into the answer box.(b) Using your critical point in (a), find the value of D(a, b) from the Second Partials test that is used to classifythe critical point.(c) Use the Second Partials test to classify the critical point from (a).0,5^(1/2)0, √5Problem # 10 (c): DJust SaveProblem #10Your Answer: 10(a) 0,√5(A) Inconclusive (B) Relative Minimum (C) Saddle Point (D) Relative MaximumAttempt #110(b) 96e120-12√510(c) DYour Mark: 10(a) 2/2✔10(b) 0/2X10(c) 2/2✔Attempt #2Enter your answersymbolically, as in theseexamplesSubmit Problem #10 for Grading10(a)10(b) 96e60-6√510(c)Enter your answersymbolically, as in theseexamples10(a)10(b) 0/2X10(c)Attempt #310(a)10(b)10(c)10(a)10(b)10(c)10(a)10(b)10(c)10(a)10(b)10(c)If the critical point is (a, b) thenenter 'a, b' into the answer box.: #4Value of D(a, b).Attempt #510(a)10(b)10(c)10(a)10(b)10(c)Attempt #610(a)10(b)10(c)10(a)10(b)10(c)Attempt #710(a)10(b)10(c)10(a)10(b)10(c)Attem10(a)10(b)10(c) -10(a)10(b)10(c) -▸

We have to given a function g such that g(x,y)=e-4x2-6y2+125y. We have to find critical point and…

Problem #10: Consider the following function. -4x²-612+12√5 y g(x,y) = e (a) Find the critical point of g. If the critical point is (a, b) then enter 'a,b' (without the quotes) into the answer box. Problem #10(a): Problem #10(b): (b) Using your critical point in (a), find the value of D(a, b) from the Second Partials test that is used to classify the critical point. (c) Use the Second Partials test to classify the critical point from (a). 0,5^(1/2) 0, √5 Enter your answer symbolically, as in these examples Problem #10 (c): D v Enter your answer symbolically, as in these examples If the critical point is (a, b) then enter 'a,b' into the answer box. Value of D(a, b). (A) Inconclusive (B) Relative Minimum (C) Saddle Point (D) Relative Maximum