1. Find the domain and range of the following: 1 (a) f(x,y) = Vy – x2 (b) g(x, y) = 9 – x2 – y? (c) h(x, y) = 4Vx² + y?

Q: The range of the function f(x, y) = 6 – V4 – x² – y? -y²

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Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

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Q: a) Consider the function f (x, y) VIn (4 – x² – y²). Find the domain - and range of f(x, y).

A: Solution is given below..

Q: f(x, y) = √√2x² + 2y² fz(-2,3)=

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Q: Given f(r, y) 3z - 4ry 6y, find f-(1, y) = fu(z, y) =

A: Given f(x,y)=-3x3-4xy3-6y5

Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

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Q: 2 (d) T (x) = Væ + 9Væ7

A: T(x)=x+9x73-2x25Formulaamn=amn1at=a-tddxx=n xn-1

Q: 1. Given the function S(a) = Find (a) all the a and y-intercepts,

A: The solution is given below in the next step: Also in step 3 graph is provided for better…

Q: Find f, (2,0) if f(x,y) = 18x e Y. 1,(2.0) = %3D

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Q: 02.Find all the maxima value of f(x, y) = 49 – x2 - y?, on the line x +3y = 10 %3D

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Q: Q (1): Find fxyz for the function: = xe² + ye* + zey a) f(x, y, z) %3D

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Q: Find the value of C if f ′ (x) = 2x2 and f (4) = 5

A: Given,    f ′ (x) = 2x2 and f (4) = 5

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

Q: Find and sketch the domain for the following function: g(x, y) = x-y

A: The given function gx, y=4-x2-4y2x-y. We have to find its domain and sketch its graph.

Q: 3x 8y Find f, and f, for f(x, y) = 2y 5x'

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Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: If f(x) = 2 + 3x – 4x², determine the value of the dependent variable f(5) – f(3). Show your work.

A: We can solve the problem by putting the value 5 and 3 in the given function.

Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

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Q: 2x + Vx. 4. Determine a function f (x) knowing that f"(x) = 16e¬

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Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

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Q: f(x,y) = 5 + Vx – y² +4

A: To determine theb domain and range of the following function.fx, y=5+x-y2+4

Q: 3. For the function f(x)=4x2−25, find f(−1) b) find all x when f(x)=0

A: Firstly we find f(-1). simple put x=-1 in given equation and find the value . After that we can find…

Q: f (0) = 1; y = X

A: Given- f0=1;y=x To solve- The above expression.

Q: Find the range of the following functions: а) f(x) — 6х -х2 — 5; 2х-1, b) f(x) = 2x-1; c) f(x) = V16…

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