a) b) exist f(x, y) = x²yesy 8x²+7y² Find the domain of the function f. Show that lim f(x, y) does not (x,y)→(0,0)

Q: f (x) -f (2) The value of lim X-2 if f (x) = 2x2+1 x-2 A 2 B) 4 C 8 D) does not exist

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Q: Let h(x,y)=esqrt(y-x^2) Find the domain and range of h and sketch the domain of h.

A: Domain and Range:     Let 'f' be a real-valued function of two variables 'x' & 'y'. Then…

Q: Let f(x) = x² + 3x – 2 f(x) – f(1) a) Find lim x- 1 x+ 1 b) Use your answer in part (a) to find an…

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Q: CONSIDER THE FOLLOWING FUNCTIONS. f22x+1 AiD gca)= xー1 a) DE TERMINE jG&) =f(x)• g(x) Lim…

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Q: C) Write a function f(x, y) such that the domain of f(x,y) is D = {(z,y) | 2² 29-y²). Also provide a…

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Q: Explain the process you would follow to construct the bijective function you do correspond to the…

A: We show the existence of this bijection by the composition of two map which are itself bijective.…

Q: Find an equation of tangent equation is 2x+6y=3. line to the graph of y=x+lax that is perpendicular…

A: We need to find the equation of the tangent line to the graph y=x+ln(x) that is perpendicular to the…

Q: Show that x²y + x² lim (x,y) →(0,-1) 24+ (y + 1)² does not exist.

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Q: Convert the following number in the radix (base) given to their equivalent value in the radix…

A: (36.125)10 = (100100.001)2   a. (36)10 = (100100)2

Q: ху (x, y)→(0, 0) x² + y² 16. Determine whether lim exists.

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Q: Compute lim(Vx²+x – x

A: Given,  limx→∞x2+x - x   We have to compute the limit.

Q: Identify and sketch the domain of f(x, y) = 4x² In x Y

A: For function to be valid denominator must be non zero and log has non-negative real numbers and…

Q: 4x3-2х с) lim x→00 V2x4+1

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Q: Find lim (x,y)-(0,0) y7x⁹8x97y8 + x105 xy7 +x8

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Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

A: Given query is to find the limit of the expression.

Q: If 4æ – 11y = 5 is the tangent to f(x) f(x) - f(3) at a = 3, then lim | (A) =! (B) 규 (C) 4 (D) (E) 4…

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Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: ソ→0

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Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

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Q: For the function f(x,y) = (a) Find x³y 3x + y² lim f(x,y) along any straight line y = mx.…

A: Given function .

Q: Find the limit 3x2 + 3y? lim (г,у) — (0,0) (va /2? + у2 + 4 — 2

A: To find the limit Let, L=lim(x,y)→(0,0)3x2+3y2x2+y2+4-2 Direct substitution of x and y will give 0/0…

Q: Suppose that f is differentiable function at x= 3and f (3) = 0, f (3) =1. Then lim f(h+1)- f(7-h*)…

A: Given x=3 f'3=0 f''3=1 -1limh→2 fh+1-f7-h2h-2200Using L.Hospital rule .limh→2…

Q: (b) State the range of f for the domain given in part (a). f:A B f(x)=(x-1)²+4. (c) Define the set B…

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Q: Find the domain of (fof)(x) if f(x)= 2 x+2

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Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: Show that f(z) = 3z² + 2z+5 is analytic function.

A: Given