use lagrange multipliars to maxim The Fungtien 7CX>y)=V57-x" -y subjeet to the Following canstaint X+y-10 = 0 assume that X and u Positive are

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Q: b) Estimate the integral esindx using composite traperoidal rule with h= 0.25.

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Q: Let y = 2x2 + 7x +3. If Aæ 0.3 at r 4, use linear approximation to estimate Ay %3D Ay 2 instructor

A: Linear approximation

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Q: Suppose that a duck is swimr - perature is given by the formı v²sin x. Find dT/dt in two chain rule…

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Q: Consider the following integral 3dx V(16 + 4.x2 )5

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Q: 3. Use the Bisection method to find p3 for f(x) = Vx – cosx [0, 1]. on

A: fx=x-cosx First Iteration ⇒f0=0-cos0⇒f0=-1<0f1=1-cos1⇒f1=0.4597>0 As f0f1<0 So, the root…

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Q: Apply Green's Theoren to evaluate the integral. C6x+y) dx + (3xy"+4y) dy ter

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Q: Evaluate the integral: ∫ t2 sec2(9t3 + 1) dt

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Q: Solve using horizantal Slide EX Evaluat..f.x.dA.whak.R.a.the.sgen.in.the figt.…

A: ∫∫R f(x,y) dA= ∫∫R f(x,y) dxdy =∫∫R f(x,y) dydx

Q: The approximation of I defined in exercise 5 using Composite Simpson's rule with n= 4 subintervals…

A: Given I = ∫12dx5-x2 Let f(x) = 15-x2 We need to divide it in 4 intervals , hence the width of each…

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Q: Show that the following line integral is path independent (3,2) cosh (0,0) (8xdx+6ydy) 4.

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Q: Use the transformation u = - -6x +y, to evaluate the integral [ ( (5x • y) dx dy, where R is the…

A: use the transform u=-6x+y, v=5x+ywe evaluate ∫∫R 5x+y dx dywhere R is the parallelogram bounded by…

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Q: Evaluate the triple integral: 2 x (Iny (z) dzdydx

A: ∫12∫1x∫y2ln(y)zdzdydx=∫12∫1xz22y2ln(y)dydx=12∫12∫1xlny2-y4dydx Now,…

Q: The approximation of I defined in exercise 5 using Composite Simpson's rule with n = 4 subintervals…

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Q: Use the method of Lagrange multipliers to minimize f (xy) =x² +y² on the hyperbola x-y=1.

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: Evaluate the integral dz dy dr. -2 Jo 5-722-7y2 32

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Q: 2) Use a change of variables to evaluate , zdV; where Dis bounded by the paraboloid z = 16 – x - 4y?…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.