Does the limit t limit x"- 4y exist ? (2,Y) -) (0,0) Explain your answer

Q: Find the funchion f Such that F(x) xf (x)-x and fo) 2

A: Convert the given problem to a simple differential equation and solve the same.

Q: 12 - y = | 4-x | Which of the following is the value set of the function? A) (-∞, 0) B) (-∞, ∞)…

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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: 32.A point of symmetry of the function f where f(x) = a) (3,-4) b) (3,5) c) (-3,-4) d) (-3,4) 1 - +…

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Q: Let f(x, y) = x+y %3D x-y Show that f does not have a limit as (x.y) -> (0, 0). [Hint: Use the line…

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Q: |- Let f(x, y) = y²e* +y find fryy

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Q: 1- Suppose A=

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Q: X-|x Show that f,given by f(x) = (x ±0) is continiuos on R-{0}

A: f is continuous at a  If at x= a L.H.L = R.H.L = f(a)

Q: 2 メーズ Lim メ→&-X

A: Evaluate: limx→∞ex-x2ex-x

Q: Let T: R³ R² be defined by T (E) 2x1 -2x2 + x3 Ex: 5 +2₂] -3 ---(~- -[:] ·~ -E] ·~ -E] --²-(~-…

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Q: Which of the following is the widest domain of function? A) (0, ∞) B) R - {0} C) (-∞, 0) D)…

A: Given that             f(x) = √x Here we have to find the widest domain of this function.

Q: ax"y" (1, y)-(0, 0) bx"+" + cym+n does not exist when a, b, and c are nonzero real numbers and m…

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Q: How do you evaluate the limit as t approaches 0 (1/t*the square root of 1 + t  - 1/t) with the…

A: Obtain the value of limit as follows.

Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

Q: 3x2-1 The function f(x) = is continuous on V1-x A) (1, 0). B) [1, 00). C) (-∞, 1). D) (-∞, 1]. E)…

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Q: At x = -3 f(x) = ²² +2x-3 2x+6 x A) limit of the function exists as x apporaches -3 B) function is…

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Q: Find the limit: 2x4 - 234 (x,y) (3,3) 22-3² lim Submit Question

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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: Find the range of f(x) = 23 e*+3

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Q: 32 lim 2x-T X→ E Cos (2TT-X) 0) 2-1T B) -2 C)-文 D The limit does not exist

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Q: 2n- X 2n 3. Let f(x)- x-x +... + xxx-ax+b. Which value for'the pair (a,b) will X guarantee that the…

A: At x=1 the graph of f(x) touches x axis. This means at x=1, f(x)=0Or, f(1)=0From it we get equation:…

Q: Write down the first order and second order conditions for maximum and minimum of a function y =…

A: Given,  Function y = f(x1, x2, x3,  .  .  .  , xn). To find the first order and second order…

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: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

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Q: f'(2) = 5 and f(2-3h)-f(2+2h) lim h-0 h find limit ? O A) 1/25 O B) -25 C) 1/5 O D) 5 O E) 25

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Q: point) Suppose g(x) = (f(x))- where f is positive and concave up for all x E l. f"(x) > on I. -) g"…

A: Given, f(x)=(g(x))2 Also f is positive and concave up

Q: 5an-1 a1 = 2 ve n 22 için an+1 olarak tanımlanan 4а, +1 {an} dizisinin limiti aşağıdakilerden…

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