Suppose that f(x, y) = x² − xy + y² − 5x + 5y with −5 ≤ x, y ≤ 5. 1. The critical point of f(x, y) is at (a, b). Then a = and b = 2. Absolute minimum of f(x, y) is and absolute maximum is

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Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

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Q: If f(x-1)= x?_16x+3 find fex+i) %3D

A: Given f(x-1)=x2-16x+3 we have to find f(x+1).

Q: y is initialized with 90 and multiplied by a factor of 4 each time x increases by 1 1. y = 90 + 4x.…

A: here option (4) is true

Q: Find f'(x) for each of the following:< Ax) = 3x³ – 2x +4 b Ах) — 3(х + 2)? -2е a 8x* – 3x Ax) = Ax)…

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Q: x² +25 D)+ Xx Evaluate the following integral f (6) A) 4 Inx-21-In/x+31+ C C) 4 Inx-31-In/x+21+ C…

A: We use partial fractions to solve the given integral.

Q: Suppose f(r)=1+3r^2. Evaluate the function for each of the following values of its argument: 1. with…

A: Find the function by substituting the given arguments.

Q: 4- 2. -2. -4 -6 10

A: Question is based on Observation of given graph.

Q: Find ∫∫D(4x+5y)dA where D={(x,y)∣x^2+y^2≤1,x≥0}

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Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: 10) Find (ƒ^¯') (-5) if ƒ(x)= x³ +3x−1.

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Q: Find the eign value and eignve u(x)= ^ Duct) ラ7ラロ x st +/ whele と (めと)=8(はリx

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Q: For f(x)=12x¹0 −44x² −8x³ + 2x² - 6x³ +72x² -24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

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Q: Determine the global extreme values of the f (x, y) = 12x - 4y if y≥x-7, y ≥-x-7, y ≤ 7. (Use…

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Q: 6z−9−z^2<0

A: In the question it is asked to find the value of z for which quadratic equation given -z2+6z-9&lt;0…

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A: Given: f2x=3x2+8x For finding value of f'2, we differentiate given function with respect to x

Q: What is the sum of a and b in the equation f(x) = 2ax^2 + bx + 3 if a relative extremum point must…

A: given  f(x)=2ax2+bx+3given  f(x) is a relative  maximum at (-1,2)  there for  f(-1)=2

Q: Rx) = 3* f(x) = 3* -4 -2 2 4 y y 10 10 5. -4 2 4 2 -5 -5 - 10f - 10 y y 10 10 -4 2 2 4 -4 -2 4 -5 -5…

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Q: Your professor has written down a pdf for you to work with, but unfortunately she has spilled tea on…

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Q: If f(x)=x^2−2 and h(x)=4x+5, then f(h(3))=       7     15     119     287     33

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Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

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Q: With f(z) = 5z² – 7z – 2, find the following: a) f(2) b) f(1) + f(0) c) f(r+h) – f(r - h)

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Q: Find F (x) Fx)sinor)

A: Consider the given function

Q: Let f(x)=6x+1 and g(x)=5-x^2 , find (f o g)(x) a. x^2 b.-6x^2+30 c.-6x^2+31 d.-36x^2-12x+4 e.…

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Q: If a variable, lets say a, is >0, does that mean a goes to infinity?

A: No, this does not imply that a variable, like a, goes to infinity only because it is bigger than 0.