Let A and B be the following matrices. Perform the following operations: -6A A+ 3B: 2A + 4B A 9. 5 -5 3] -9 5 6 -6 1 7 > 4 B = 7 5 -2 1 -1

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Q: 2 0 0 1 -2 1 0 4 -3

A: given matrix is ,

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Q: 1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- X

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Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: 2 Assume that f'(2) = -9, g'(3) = g(3)=2, and y=f(g(x)). What is y' at x = 3?

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Q: 5.4-1+1/2 - 1/6 + 1 64 |

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Q: √ 5x(x² +4)√√x² + 4 dx. 2

A: To evaluate the following integral.

Q: If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

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Q: 4. Using Geogebra, draw the parametric curve, x = sin³t+cos³t; y = sin² t - cos²t,0 ≤t≤ 2n-

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Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

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Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

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Q: is it 3and -2 for A?

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Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 4zi +…

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Q: Suppose that lim f(x) = 10 and lim g(x) = -4. Find the following limits. X-3 X-3 a. lim [f(x)g(x)]…

A: According to the guide line we do only the first three parts of multiple part questions.

Q: Evaluate ∫∫∫E 1/(x^2+y^2+z^2 )dV where E lines between the spheres x^2+y^2+z^2=4 and x^2+y^2+z^2=16…

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Q: 4. 14: I can evaluate a definite integral using geometry or the FTo C. The graph of f is [4, 8] the…

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Q: Evaluate the following: lim In(e+h)-in e

A: To evaluate the following limit.