Question

Asked Oct 24, 2019

Find the critical points for the function:

f(x,y)=x^{3}+y^{3}-9x^{2}-48y-3

and use the Second Derivative Test to classify each as a local maximum, local minimum, saddle point, or none of these.

Step 1

To determine the critical points for the function and classify the critical points.

Step 2

**Given:**

Step 3

**Concept Used:**

The critical points of the function *f(x,y) *satisfy the condition *fx = 0 and fy = 0* or *fx* and/or *fy* does not exist.

Calculate the discrim...

Tagged in

Q: Sketch the graph of a function that satisfies the following 3. conditions: (a) f'(0) f'(2) = f'(4) =...

A: There are many ways to draw the graph. From part (a), observed that the function has local minimum o...

Q: Find the derivative f(x)= sin 2xcos2x

A: The given function is,

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a...

A: The diameter of the hemispherical dome is 42m.The volume of the hemisphere is,

Q: Calculus Question

A: The polar coordinates are,

Q: Solve the following equation. 4x-6=121(3x)

A: To determine the value of x.

Q: see attachment

A: Given functions

Q: Let f (x) = x1/3(6x + 9)2/3. Find f ' (x) and the critical numbers for f.f ' (x) = Ax + B/ 3 xC...

A: The given function is,

Q: betw A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off po...

A: Given that,

Q: find a and b.

A: Click to see the answer