7. Find and classify all critical points of the function f(z, y, z, w) = a +y? + 3:2 + w? + 3ry +6rz +5rw + 4yz +2yw + 5x - 3y +6w. Note that your solutions might not be integers.

Q: Let f(x, y) = 125-3x²-2y2² Evaluate f(0, 3)

A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

Q: Let m(x) = 2x² - ax - 2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

A:

Q: - h)? + k: a). f(x) = 2x² –12x+11; b) y = -r+x+:

A:

Q: Find the particular solution of the function defined by the following properties: f"(x) = 1&x; f'(1)…

A: Given: f''(x) = 18x,  f'(1) = 5,  f(3) = 80 To find: The function f(x) from the given options.

Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

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Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: When dividing the polynomial f(x) by x-p, where p is a real number, the quotient Q(x), then is f'(p)…

A: In the first question it is given that, When f(x) is divided by (x-p), the quotient is Q(x). Now…

Q: . Show that exp(m1 x), exp(m2 x), and exp(m3 x) are linearly independent functions, where m1, m2,…

A: Part (A): There are three functions, now we have to find the function is linearly independent or…

Q: 5. If f(2) = 5 and f (-1) = -4, find a and b in the function f(x) = ax + b

A:

Q: Given that f(x) = 4x² + 5X-9, find f (h-3)-f(-3) h

A: f(x)=4x2+5x-9for f(h-3) put h-3  in f(x)

Q: Find the domain of f

A: We have to find the domain of the function: fx=x+2+2-x We know for any square root function y=fx it…

Q: 1. Find the slope and y-intercept of the line that is parallel to 2x +3y 5 and passes through the…

A: Given : A line which is parallel to the line 2x+3y = 5 and passing through point (1,-1)

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

A:

Q: Maximise P = – 2x2 – 5y2 + 96x + 80y + 610 Subject to 10x + 20y ≤ 500 x, y ≥ 0

A: See the attached file for a step by step explanation to find the maximization of P.

Q: A firm that manufactures speciality bicycles has a profit function 5x - 10xy + 3y + 240x where x…

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Q: The profit (in hundreds of dollars) from the sale of a sets of car tires and y sets of truck tires…

A: Given Profit function P(x,y)=−x2−y2+2x+6y

Q: Find the largest value of the function f(x) = x³ — 4x² – 10x + 5 - - on the domain -6≤ x ≤ 6.

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Q: Find the candidates for the local extremes of the function f(x,y)x5+y5-5x-5y+1

A:

Q: 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

A: fx=x2+2x+1

Q: Let à = (-4,-5, 4) and 6 = (2, 4, 0). a Find a x b. хъ.

A:

Q: Two objects, A and B, are moving along two different straight lines at constant speeds. With…

A: Solution: The position of A at time t is 2t-1, 3t+3 and the position of B is 5t-2, 2t+5. If d is the…

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…