5. Assume that the following conditions exist fi = 0 2= 0 Does a maximum, minimum, or saddle point exist in each case? a. fi1 > 0 fuif2 - fizf21 < 0 b. fi1 <0 fiif2 - fi2if21 > 0 c. fi1 >0 fufn - f12f1 > 0 d. fi1 < 0 fifn - fizf21 < 0

Q: Compute the abscissa of the minimum point of the curve  y = x3 - 12x -9.

A:

Q: 2. dy sin x - y where f(n) = 0. %3D dx

A:

Q: locate all relative extremum and saddle point (if any) of

A:

Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

A:

Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

A:

Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

Q: What is the x-component of the minimum point of the function in the picture?

A: Given  z=x2+xy+y2-y ∂z∂x=2x+y On putting,  ∂z∂x=0 ⇒2x+y=0 ---&gt; eqn(1) Now, ∂z∂y=x+2y-1 On…

Q: Find the maximum and minimum values of the function f(x, y, z) = x²y² z² subject to the constraint…

A: To find:  Maximum and minimum values of the function f(x,y,z)=x2y2z2 subject to the constraint…

Q: Examine 2x² - 4xy+3y² - 8x+8y-1=0 for maximum and minimum points. Max. at (-3,-1): Min. at (3, 5)…

A:

Q: a) f(x,y) = x³y² + 6xy b) g(x,y)= 6x-x²-8y-2y²

A:

Q: If a € RN and oTax ≤ √√₁9² * V vector. (a) maximize or such that (b) maximize ar such that (c)…

A: Given below clear explanation.

Q: What is the local minimum value of f(x₁, x₂) = x² + 2x₁x2 + x³? Round your answer to two digits.

A:

Q: Give a natural deduction proof of V x B(x) from hypotheses 1. Vx (A(x) V B(x)) and 2. V y (- A(y))

A:

Q: 1) is it a convex function or a concave function? Explain 'why' in terms of the given equation.  2)…

A:

Q: Given f(x) = Xx²+4 and increase s decrease. Find 1ocal minimum, 10cal max & find intervals of

A:

Q: Find the minimum value ofx +y +z² given x+y+z=3a.

A:

Q: f(z) = 1-5z2+ 4. odo su dominio. clene minimo relativo si z= 0. lene maximo relativo si r= 0. c…

A:

Q: 7. Which vertex will result in the maximum value of the function T = x - 3y? O (3.5, 4) (0, 4)

A: Answer and explanation is given below..

Q: do f() dr where f() = - sin o + sin o cos o = sin ø(y cos o- 1).

A: Given dϕdr=fϕwhere fϕ=-sinϕ+γsinϕcosϕ=sinϕγcosϕ-1

Q: what is the minimum value of y=–8+2cos4x?

A: Given, y = –8 + 2cos4x  We have to find the minimum value of  y = –8 + 2cos4x   When we have the…

Q: If f"(5) = 0, then (5, f(5)) is an inflection point %3D O a. True O b. False

A: As you have asked multiple questions, we will answer the first question only. If you need the answer…