Use the definition of differentiability to show that f(x, y) = y² – xy+5x is differentiable everywhere on R2.

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Q: VP 25) de ta sin(p) dp p+1 dp (-2) --1760 de 16 dpl- dp-a anique solution defined on the interval

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Q: A local Chocolate Factory produces 3 varieties of Chocolate A, B & C. Ron bought a chocolate of each...

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Q: Evaluate the line integral fo F dr where F(x, Y, z) = y³ î – a' j + e²+* k, and C is the curve of in...

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Q: The tangent plane to the graph of the function f(x,y)=x+xy+y2, which is parallel to the z=1+2x+3y pl...

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A: Given suppose heat is lost from the lateral surface of a thin rod of length L in to a surrounding me...

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A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to approximate t...

Q: Is A = 2 an eigenvalue of ? Why or why not?

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Q: a b c de f Given det = 4, find the following determinants. gh i ghi a b c det de f

A: Given abcdefghi = 4

Q: 13. A rectangular dog pen of 800 sq. feet is to be constructed as shown. The cost is $5 per running ...

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Q: Q1. Let V 12) : x € R. Is W a subspace of V? Expalin your 3x = R3 and W = answer? Q2. Show that M2x2...

A: Note: Our guidelines we are supposed to answer only one question. Kindly repost other questions  as ...

Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 4 2 y =0 y c...

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Q: In Exercises 11-16, a graph of a planar region R is given. Give the iterated integrals, with both or...

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Q: Find the equilibrium vector for the transition matrix. 0.70 0.10 0.20 0.10 0.80 0.10 0.10 0.30 0.60 ...

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Q: 3.1.4. (-) For each of a, a', ß, B', characterize the simple graphs for which the value of the param...

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Q: (1) x=-4x+3t+1

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Q: dy of the following and simplify if possible: dx Determine 3.1 y= Jlnx -8x 3.2 y = 32x + tan x 3.3 y...

A: We have to find dy/dx.

Q: Samuel sells furniture. He receives a base salary of Php 2400 a week plus a commission on his weekly...

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Q: Your local grocery store is having a 20% off everything sale. But Wait!! For the next 3 days they ar...

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Q: When gcd(a, b) = 1, prove σ(ab) = σ(a)σ(b) and find σ(200) and σ(720).

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Q: The indicated function y, (x) is a solution of the given differential equation. бу" + у' — у %3D 0%;...

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Q: Find the coefficient a, of the Fourier series representation of the function with period 2n defined ...

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Q: Let A E Mnxn(F) and B = aA, with a E F. Prove by induction that det(B) = a" det(A), for all positive...

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Q: 5. 3 women push a stalled car. Each woman pushes with a 425N force. What is the mass of the car if t...

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

Q: 文

A: Solution

Q: Let T: R5 → R5  be a linear operator whose characteristic polynomial is pT(x) = (x−3)3(x−5)2. Let V3...

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Q: Evaluate the iterated integral fSp(x2 + y?)dA over the region D in the first quadrant between the fu...

A: Double integral Bound by the region

Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of orde...

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Q: Determine the particular solution 2y" + 5y' + 3y=0; y (0) =3; y' (0) = 2 Options y = -10e-3x/2 - 13e...

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Q: 1. In two closed loops of an electrical circuit, the currents flowing are given by the simultaneous ...

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Q: e diagram shows a circular cone and a general pyramid. The area of the ba: the base of the pyramid. ...

A: Given, The area of the base of a circular cone is 76 square units. The area of the base of the cone ...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Answer is 10.1

Q: Use the Euler, improved Euler and Runge-kultta methods to solve the following ODES: 2 y co) =1, h= 0...

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Q: Is X = -2 an eigenvalue of 3 Why or why not?

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Q: x* = min ||x - p|2 = min Z(x.p) = x a %3D i.e. the closest neighbour of p in Euclidean distance is t...

A: Asper the question we have to state a data set {x(i)} and then show that within that data set the fo...

Q: Which one of the following integrals is Lebesgue integrable: sin – + cos dx, dx

A: Given integrals, 1.∫011xsin1x+cos1xdx2.∫-111xdx

Q: Please solve the differential equation in the image attached. (Differential Calculus) Thank you.

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Q: Q3) For the function shown: 1) At what value of x, the function is continuous. 2) Is the function is...

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Q: 13 () 9. If A is a 3 x 3 matrix such that A 1 and A 4 1 then the product A 7 is %3D %3D 8

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Q: Let m stand for "Math ce school is an option." ath is fun or jobs are n

A: We have to write in symbolic form of the given statement.

Q: By following System of equation and compare the speed of Convergence Uzing the two iterative me thre...

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Q: Determine the particular solution. 4y/"- 2y- 2y-0; y (0) 2, y (0)-1 O y = (4/3)e(x/2) - (2/3)e* O y=...

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Q: ch the region enclosed by the given curves. y - cos(x), y- sin(2x), 0sxs 2. -1 -1 -라

A: Introduction: The area of the region enclosed by the curves y=f(x) and y=g(x) between a≤x≤b is given...

Q: (x – 1)" log n Given the power series where log n is the logarithm of n to the base 10. n=2 1. Prove...

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Q: 3 4 Find the determinant of [-1 -8 7] 8 4 Using diagonal method. 3

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Q: possible. 1. Page 328, No. 2 Can you take a tour around the region shown in the map below, cross eac...

A: We can find a path by crossing each border exactly once and return to where we have started. 

Q: [1 A = 6 -1

A: In this question, the concept of eigenvalue and eigenvectors is applied. Eigenvalue Eigenvalues are ...

Q: olve the following initial value problem. y6) -2y" +y =3+6x e", y(0)=y'(0) = 0, y"(0)=1 ... The solu...

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Q: Find a basis for the eigenspace corresponding to each listed eigenvalue. 4 2 3 -1 1 -3 d = 3. 4 9

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