(8) Using Taylor's formula, e" log(1 + is approximately equal to (a) x – xy (b) х — ху + 2 (c) x + xy + 2 (d) a + xy

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A: Solving

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Q: SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion…

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Q: r2 cose dr de valuate the iterated integrals A) 1

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A: Given problem:- Find an equation of the tangent plane to the surface at the given point.   f(x, y) =…

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Q: Question 9 1/2 Evaluate the iterated integrals J. J. sine r cos e dr de A 1/6 B) 1/2 6 D) 11/9

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, g) = |(?, ?) y = 1

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Q: n/2 c sine Evaluate the iterated integrals J. r cos e dr de 0. A 1/6 B 1/2 c) 6 D) 11/9

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A: We know that for a matrix A=abcd=ad-bcA=7-346=7*6-(-3*4)                       =42+12…

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A: Given: I=∫08∫064-z2∫0xxydydxdz   The Power rule: ∫xndx=xn+1n+1+C

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A:

Q: V4-y? cv8-x²-y² Use cylindrical or spherical coordinates to evaluate the integral. JoJ Vx?+y? A 32…

A: To find the value of the given integral.

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A: Aec length of the given curveL=∫131+dxdy2dy    Considerx=16y3+12y-1thendxdy=(16×3y2)+-12y2…

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Q: (b) Evaluate the velocity vector and acceleration vector of the object at the given point. %3D %3D…

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A: Solving

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Q: Consider a field with V = 8a²y² î + 4y²j + –5y² z³k a) Find the divergence of V: V•V: b) Find the…

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Q: Find curl (9z i + 10x j + 5y k). curl (9z i + 10x j + 5y k) = ( i )i + ( i j + ( i

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Q: Question 10 2 c y? Evaluate the iterated integral. J. yz dx dz dy -1 A 45 В) 34 © 47/3 D 5

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy -162 -108

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Q: Question 15 1-sine Evaluate the iterated integrals J. J. p2 cose dr de̟ A 1 В) 2

A: ddθ(sinθ)=cosθ ∫rndr=rn+1n+1, for any real number n.

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Q: Evaluate F. dr. F(x, y) = 5xi + 8yj C: r(t) = ti + v4 - t*j, -2 sts 2

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Q: V4-x² c 3-x2-y² Evaluate the iterated integral. x dz dy dx -5+x²+y² A 128/15 в) 16/89 c) 23/6 6.

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A: Here is the solution:

Q: Question 2 Use double integration to find the volume of the solid bounded by the paraboloid z = 9x2…

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Q: Describe the graph of the equation: r = 5ti – 8j + (1 + 5t)k. [Choose the correct answer.] O The…

A: Given, r= 5ti -8j +(1+5t)k Therefore, The equation is given by, r= <0,-8,1>+t<5,0,5>

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