Which of the following are critical points of f(, y) = xy? – x + 8y+1. Select all that apply. (0, 0) (4, -1) O (4, 4) O (4, 1) O (-1, 1) O (-1, 8)

Q: 3. Find the largest domain (in R2) for the function In(3 + y) 1- x + y f (x, y) :

A: Let's find.

Q: Which of the following is an antiderivative of f(x) = * - 2x* + 4

A: we have to find antiderivative

Q: x² +y? -I V2-x2 -y The domain of the function f(x.y)=- is equal to: OD={«.y) |1<x?+y?s2 } OD={«.y)…

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Q: Let f(x) = Vr - 5, g(x) = , h(a) = , Find go((gof)+h(x)) at x=-1? 2-9'

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Q: 7. Which is the domain of the function x + 8 + V3 – x – - 2 5, f (x) = Vx +7+ Vx + 3 ? (-0, 3) – {2}…

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Q: Determine the global extreme values of the f(x, y) = 10x – 4y if y > x – 6, y > -x – 6, y < 6. (Use…

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Q: – 2ay + i(bx -

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Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Consider these functions. 1) Evaluate (f + g)(2). f(x) = 3x² – 5 g(x) = Vx - 2 A) -1 B) 0 C) 3 D) 7…

A: we have the given functions  f(x)=3x2-5 g(x)=x-2 1) (f+g)(2)=f(2)+g(2)…

Q: 16. If f(x) = v 3x and g(x) =x² +2r +1, then an expression for g(f(x)) is A. 3x+2/3x +1 B. 9x +2/3x…

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

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Q: O D. 2x + 2x+4 Find f(-x) when f(x) = 2x-2x+4. OA. O A. 2 +2x-4 O B. -2x +2x +4 OC. -2x + 2x-4 O O O

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Q: The critical points of the function f(x)= 2x-24x+1 are O a. -2,0 O b. 1,2 O c. 0,2 O d. -2,2

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Q: 26. Let f (x) = vx - 1 and g(x) = x² – 4. A. Find (fog)(x) and (gof)(x). B. Find all real values of…

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Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

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Q: L. nft 7r 2x+1 1 4) f(x) = 2 I- 3 < 1 f(1)= f(-2)= f(6)=

A: The given expression is:

Q: 1. Let N = {1, 2, 3,...} and let f: N→ N be a function given by f(x) = 2x + 3. (i) Find f(f(4) + 1).…

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Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: 4. If the function f(x) is defined by f(x) =-6 then which of the following is the value of f(10)?…

A: We solve using substitution

Q: Write the formulas of fog for pairs of real functions f, g. (a) f(r) = x², 9(x) = x – 2 (b) f(x) =1,…

A: A composite function is generally a function that is written inside another function. Composition…

Q: 1. Let f(x) = 3x + 1, g(x) = 7 – 2x, and h(x) = x² – 4.x + 5. Find the following: a) (f + g)(2) b)…

A: 1. Given, f(x)=3x+1g(x)=7-2xh(x)=x2-4x+5

Q: 2. Let f(x) = -x– 1. a) Find f-1(x).

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Q: 6. Where are the following functions di: x+2 a) f(x) = %3D V(x+2)x

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Q: In each of the following, determine whether

A: We have to decide whether y is a function of x or not.