counterexample. 1. For all numbers x, x 2 > x. 2. For all numbers x, Vx 2 = x. 3. For all numbers x, – x < x.

Q: Which of the following is the domain set of the function f(x.y)=arcos(x² +y² –3)+In(x² +y² -3) ? ()…

A: The domain of logarithmic function log x is x: x&gt;0 The domain of inverse trigonometric function…

Q: 25. x = 1, y = 1, : = 21; 0 < 1<2 26. x = t14, y = t/3, z = t/2; 1<153

A:

Q: The cost to transport a mobile home depends on the distance, x, in miles that the home is moved. Let…

A:

Q: Find f.(x.y), f,(x,y), f.(1,3), and f,(-2,4) for the given function. If z = f(x,y) = 3x³y² – x²y³ +…

A: We need to calculate the partial derivatives fx(x,y), fy(x,y),fx(1,3), fy(-2,4). The solution is…

Q: Q,3 For function f (x) = v/19 – x , L = 3,x, = 10,€= 1. Find an open interval about x, on which the…

A: Given,fx=19-xL = 3x0=10ε = 1

Q: 9. Let f(x) = Vx and H(x) = f (x)g(x), then H'(4) = А. 27 В. c. - С. D. 6

A: Given Fx=x and Hx=Fx gxwe find H'4

Q: 9. Let f(x) = Vx and H(x) = f(x)g(x), then H'(4) = 3 В. 2 A. 25 - V7 C. - С. D. 6

A:

Q: 5. For what values of x will the function, f(x) = a) -6,0 b) -6, -3,0 x-3 x³+3x²-18x be…

A: Given :f(x)=x-3x3+3x2-18x

Q: Find the values of a and b that make the following function dif- ferentiable for all x-values. Jах +…

A: To be differentiable at x=-1  The function must be continuous at x=-1 So we plug x=-1 in both…

Q: (c) For any (a, y) E R?, let F(x, y) = (4x - 3y + 1, 3x +4y + 1). Then F is a similarity.

A:

Q: 15. f(x, y) = xy /x² + y V9 – x² – y? 16. f(x, y) ▪ x + 2y + y? x² – y? 17. f(x, y) *

A: 1.  fx,y=xyx2+y2.  fx,y=9-x2-y2x+2y3.  fx,y=x2+y2x2-y2

Q: 18. Let f(x) = ax + b and g(x) = cx + d . What condition must be satisfied by the constants a, b, c…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 01: If the function w = f(x, y) and x = 2u + 3v, y = 3u – 2v, Find Wuy ?

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: min z= A x, +B X2 s.t. X+*2 S6, X1 2 4, X1, X2 2 0.

A: NOTE: Refresh your page if you can't see any equations. . subject to  After introducing slack,…

Q: 3 - If h(x, y) = y - xy – x2, find at the point (2, n) ду а) - 2.5 b) 7 c) -2 d) -1 e) 0 f) 1 g)…

A: Given that h(x,y)=y-xy-x^2

Q: If f(z) = z² − (z)² + zz, calculate the following: a) u(x, y) and v (x, y) b) u(-10,-5) and…

A:

Q: af af I and : for the function f (x, y): ду x+y Q1: Find ax y? +x3

A: The given function is fx,y=x+yx2+y2. Evaluate ∂f∂x as follows.…

Q: Given f(x, y) = 6,/3x* + 5y + 4xy°, find f-(2, y) = %3D fy(x, y) = %3D

A: Solution:

Q: Recall the relation between degrees Celsius and degrees Fahrenheit: F = 1.8(C + 32) X and Y are…

A:

Q: 2х + 3, х 1 21 B 19 C 28 D) 16 A.

A: We find out the value of given integral. Follow 2nd step.

Q: Which of the following is the domain set of the function f(x.y)=arccos(x² + y² -3)+In(x²+y² -3) ? ()…

A: Given:            f(x,y)=arccos(x2+y2−3)+ln(x2+y2−3)

Q: How did he get the value inside the line r(k) = ku(k) Z(u(n)) = |Z(ku(k)) = -z () z(Ru(k) 1 1-z-1…

A:

Q: The average length of time, in minutes, that a customer waits in line for service is given by 60 y <…

A: This can be evaluated as follows:

Q: 9. For what value(s) of h will y be in Span{v1, V2, V3} if V1 = V2 = -4 V3 = and y = h

A: We have to solve given problem:

Q: Differentiate (assume k is a constant) y=1/(p + ke^p)

A: y = 1p + kep

Q: 2. If y varies inverscly as x and y = 0.8 when x = 1.8, find y when x = 4.8. d. 10.8 a. 0.1 b. 0.3…

A: y varies inversely as x So, y=k/x , where k=constant    Given y=0.8, when x=1.8  Using this we find…

Q: Find fay (1.2) for f (x, y) = x²In(7 + y) +. 35 19 36 36 19 35 36 36

A:

Q: b) Suppose f:R → Z where f(x) =[2x – 1 i. If A = {x |1 <x < 4}, find f (A). ii. If B = {3,4,5,6,7},…

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Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

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Q: Find for z = for z = ex-y Əz Əx

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Q: 2х-1 given f(x,y) = e Find y ôyôx

A: We have to find the partial derivative with respect to x and then with respect  to y of the given…

Q: or function By – k1 z) + ay (kz y + z) onal, then the values

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Q: • [√x S: z = 8x, 0≤x≤ 8, 0≤ y ≤7 Evaluate (x - 2y + z) ds.

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Q: I. Find the absolute max and min for f(x,y) = xy² on D ={(x,y): x >0,y > 0, x² + y? < 3}. Justify…

A: Given- f(x,y)=xy2  to find - Absolute maxima and minima for the given function if onD={(x,y):…

Q: Which of the following is the domain set of the function f(x,y)= arcos(x² +y² -3)+In(x² +y² -3) ?…

A: Solution

Q: 4. Use e – d definition and show that the function 4.x? – y? - if (x, y) # (1, –2) 2x + Y f (x, y) =…

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Q: 12. f(x, y) = x = 1, 2,... ve y = 1, 2, .... olsun. wwww P(X<3)=? a. 3/16 b. 5/16 C. 1/16 d. 3/4 e.…

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Q: Let f(x, y) = e"r³ Evaluate f(3, 0)

A: The function of two variables  x and y will be of the form,   The function value of this kind of…

Q: Let ƒ(x) = ax + b and g(x) = cx + d. What condition must be satisfied by the constants a, b, c, d in…

A: Given: ƒ(x) = ax + b and g(x) = cx + d

Q: 5. If f(x, y) = Find (1 0≤x≤ 1, 0 ≤ y ≤1 otherwise a. P(X > ¹/2/Y y|Y > ¹/2)

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Q: O Let f(x, y) = (5æ – y)°. Then -

A: We can find the required partial derivatives as below

Q: a2 – 6, f(x) 10z 31, z >c 10a - 31, > c

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Q: Use the grapn of g(x) below to answer what follows 4 3 2 - 2 -it'23 4 5 4 1-

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Q: Let *- y= ÿ.z=0 and x ỹxz= V3 where x,y,ZER'. Which of the followin. 2 can be the value of X Z? V3…

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Q: If f(z) = z² - (z)² + zz, calculate the following: a) u(x, y) and v (x, y) b) u(-10,-5) and…

A:

Q: Let f(x, y) = e*Yx4 Evaluate f(3, 5)

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Q: Find fy (x,y,z), fy(x,y,z), f_(x,y,z), and fyx(x,y,z) for the following. f(x,y,z) = 3x* + 3xy - 5z

A: We need to find derivative of given function.

Q: 9. 10 11 12 13 14 15 16 17 18 19 20 2y + 10 zoom in 8. Show Your Work Ex +7 19 D 4y - 2 9. y = Show…

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Q: Given f(x, y) = 5æ + xy® 5x3 6y², find f.(x, y) = %3D f,(x, y) = %3D

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Q: Find the value of c in the interval (a, b) such that f'(c) = 0 for f(x) = (x – 3)(x + 1)? on [-1,3].

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.