(x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

Q: Let C denote the unit circle centered at the origin in C. Then r 1 |1+z +z** dz , 2ni z²l dz , where...

A: Since you have posted a multiple questions. So,  we will solve only first question  for you. To get ...

Q: 2. Supposed x +y = 4, and x* + y* = 6, what is xº +y°? A) 8 в) 6 C) 4 D) 10

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Q: Let  : IRn → IRn be a linear operator whose characteristic polynomial of T e: pT (λ) = λ (λ2 − 1) (...

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Q: d²z = 0

A: This is a partial differential equation. Because here number of independent variables are more than ...

Q: 7) Prove the following. a) (pAq) →r = (p-r)v(q-r) b) p-(q-r) = (pr)

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Q: Machines Product 1 2 4 Maximum Demand A 0.083 0.167 0.1 0.05 400 В 0.05 0.1 0.067 0.133 100 0.067 0....

A: We will use the basic knowledge of linear programming and linear optimization to answer this questio...

Q: Consider the graph of f below. f(x) 41 3 2 1 1 2 3 4 5 6 7 8 (a) Find the average rate of change of ...

A: (a) From the graph f(8) = 3 and f(1) = 2

Q: (4D2 - 1)y = e*/2 + 12e.

A: Here first we find roots of the auxiliary equation of the differential equation and then complementa...

Q: lease answer the foll

A: Given, the demand function (P) = 40-4x2 where x is the number of tablets produced in millions. and  ...

Q: Given the following balance table. Determine the decay rate. Input just the number without the perce...

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Q: A trader gives a 5% discount for cash payments. What cash discount will he give on a bill of #35,300...

A: The expression: "p% of q" is same as p100×q.

Q: 8z Find at (2, -2, 1) if By z' +y +z2 = 6xz +6yz +21 eej49 1.

A: Given x2+y2+z2=6xz+6yz+21

Q: Consider the conic of equation: x2 − 2xy + y2 − 2x − 2y + 1 = 0.                                   ...

A: This is a problem of general quadratic form and rotation of axis.

Q: Find the explicit solution of the initial value problem (xe^(x)+ ye^(x) - 2)dx+ (xe^x + 3)dy=0, y(0...

A: Here we use the concept of exact differential equation

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away ...

A: Given that Here AC=25 ft is the length of ladder. y is length of wall and x is the length of base B...

Q: You borrow $5000 now and agree to pay this whole amount back in three payments: OW

A: Given, you borrow $5000  now and agree to pay this whole amount back in three payments:Payment 1. $X...

Q: Let f(r, y) = 2r2 + 2y? - 1. R2 R Rs RA 1. Calculate ff f(r, y)dA by first integrating y and then a,...

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Q: For this question, suppose your value function is is vfor gains and vfor losses. Last night, you los...

A: Given: There was a loss of $9 in a bet last night. There was a silver lining: on the way home, $2 wa...

Q: Given the the parametric curve x(t) = t°e5t ly(t) = cos(13t) dy (a) Find an expression for dy (b) Fi...

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Q: The concentration C of a chemical in the bloodstream t hours after injection Into muscle tissues is ...

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Q: OShow that for each to + 0 the curve has a tangent line on (x(to), y(to)) and give a parametric equa...

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Q: Consider the linear system: 2x + 2y – 3z a %3D 2x + y - z 3x – 2y + z = C Using Cramer's Rule, solve...

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Q: Aling Kika bought 120 packs of Ube Halaya in Cainta for Php 53.00 with 4% discount. She sold the Ube...

A: The expression: x% of y is same as x100×y.

Q: p(1) p(2) p(3) mation, and find ker (T). Recall that P3 is the space of all polynomials of degree at...

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Q: determine the longest interval in which the given initial value problem is certain to have a unique ...

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Q: Question 3 Let the basis B = {v=(1.2.3), u=(2, 1, 2), w= (3.-3, 1)} andx=(3, 2,-1). 1. Write the coo...

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Q: Two sets A and B contains a and b elements respectively. If power set of A contains 4 more elements ...

A: Here given that two sets A and B contains a and b elements respectively. and also given that power s...

Q: 12,500

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Q: n The value(s) of p for which the series Ln-11+n*)-p is convergent using the integral test: A) p2 1....

A: Solution:-

Q: 3s-5 s2+4s+2 Ans: 5.39e-3.41t 2.39e-0.586t 2.

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Q: 3217- j427 + 18 Show your solutions on a separate sheet of paper. A) 21 - 1 1-i 1+i 2i

A: Given i3217 - i427 + i18 As i2 = -1 i4 = 1 i3 = -i

Q: 1. Compute the volume obtained by rotating about the y-axis, the region bounded 1 1 by y = 0, y = (1...

A: Given the region bounded by y=0, y=11-3x252, x=0, x=14  

Q: S {(*- z) if 0<I < 2n, f(z) = %3D f(x + 27) otherwise. Find its Fourier series.

A: This is a problem of Fourier Analysis.

Q: Prove that there do not exist three consecutive integer values of nn for which 43n+1443n+14 is a per...

A: Given that 43n+14 We have to prove that there do not exist three consecutive integer values of n for...

Q: Click and drag all relations on the set A= (0, 1) on the right column into the left column. Relation...

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Q: Evaluate: Σ-Σi-2(2-1) 5-j (i+1)² 14 j=1Zi=2

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Q: 1. Linearize each function about the indicated xo and express your answer in the form y a yo + m (x ...

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Q: Prove that if {Vi, V2, v3} is linearly independent, then so too is the set {u, u2, u3 where u = V - ...

A: Introduction: Linear dependence and linear independence of a given number of vectors are very signif...

Q: (- x) if 0 <I < 2n, f(z) = f(r + 27) otherwise. ) Find its Fourier series.

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Q: Let a > 1. Find the area of the region bounded by y = /2(x – a) and y x- a. A) B) C) E) 6. A) B) c) ...

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Q: 3. Assume B, C, D, E are all bases for R2. If (:)- 3 2 -1 1 PB-E = PD-C = PE-C = %3D 2 -1 3. what is...

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Q: Consider the following function S(x) = [1.5 – z(1- 22) + (2.25 – 21(1- 23hr + 12.625 - z(1- a Determ...

A: Given: The function, fx=1.5-x11-x22+2.25-x11-x222+2.625-x11-x232   To determine: The gradients and H...

Q: 4. Suppose you are given equations of two overlapping circles as a. Determine how to find the points...

A: If two circles are  overlapping then we find  two points of intersection.

Q: NAME: MAT 052: DIFFERENTIAL EQUATIONS SECTION: PROBLEM SET No.3 Instruction: Perform the given tasks...

A: According to our guidelines we can answer only one question and rest can be reposted.  Correction In...

Q: Find the general solution of D.E. below. (x - 2y) dx + (2x +y) dy = 0 Show your solutions on a separ...

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Q: 1. The formula for a linear transformation T is given below. Determine if the transfor- mation is on...

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Q: 33 26-6

A: Multiply both sides of given equation by -1.  

Q: Find the particular solution of (2x + 3)y = y + (2x + 3)/2; when x = -1, y = 0 Show your solutions o...

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Q: Sketch the level curves of f(x, y) = ye^x

A: The graph a three dimensional surface is represented by the equation: z=f(x,y). If the graph of z=f(...

Q: Determine the Fourier Transform of the following function. -2 <x < 0, 0 <x < 2; Problem 1: f(x) = f(...

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