Write the following as a single logarithm with a coefficient of I. c²b²) 3 log( 2 a²) - 4 log( 2 a c³) + 3 log( 3 O No solution log (²) 2 O log (272) log (1²) 9 6

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A: We have to evaluate the integral: ∭Ex+y-2zdV.And,E=x, y, z | -6≤y≤0, 0≤x≤y, 0&lt;z&lt;x+y2.

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Q: 8. Find and classify the equilibrium points of the following equations: ic (9+x-3y)x y = (-8 + 4x -…

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A: S=5000001+0.2ekt t=0 corresponding to year 2010 Estimated sales in 2019 is 60000

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Q: Q. Let F(x) = x1x1 (al Plot the graph of F(x) b) Show that F(x) is differentiable at x = 0 F(x) as a…

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Q: (c) Solve the equation ㅠ 2 X d²y dx² dy = 3 sin x - 4y, given that y = 0 at x = 0 and that = 1 at dx…

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Q: The pmf of random Variable X is as x O 2 4 6 P(x) 0.20 0.10 0.35 ? Find P(2<x<6), E (X) and V(X).

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Q: Solve the initial value problem t²y" by using the fact that y₁ (t) = t and y₂(t) = t y(t) = 5t¹-4,…

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Q: 1 14.) Evaluate the following definite integral: √x+1 dx

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Q: Integrate: dx S ²-1

A: Note that ∫f'(x)f(x)dx=ln f(x) +C, where C is a constant.

Q: 7- Using table below polynomical by Divided Newton Calculate of the Хо 1.0 the values given in find…

A: Given data set: x f(x) 1.0 0.765 1.3 0.620 1.6 0.455 1.9 0.282

Q: [°º°8-³x³ dx 8-31

A: Gamma function,τ(n)=∫0∞e-ttn-1dt, n&gt;0 put 8-3x3=e-tTake Logerthem on both sidesln 8-3x3=ln…

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Q: Determine the number of coprimes of p5 below p for the cases p = 2,3,5 by listing them neatly. Also,…

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Q: [15] (3) GIVEN: constants a > 0 W is the solid cube with edge length, a. 0 ≤ x ≤ a -Jes.,x: 0/10 (x,…

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Q: 1.) Evaluate each of the following limits. a.) lim (x2-3x + 1) x-2 x-1 b.) lim x-1x²-1

A: (a)  To compute     L = limx→-2x2-3x+1  Then we have L = -22-3-2+1

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