Find the mass and center of mass of the S solid bounded by the paraboloid z = 8x2 + 8y2 and the plane z = a (a > 0) if S has constant density K.

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Q: Find the inverse of the matrix [: 3] Choices: -3 3 C. a. 4/3 1/3 1 3 1 b. -4/3 -1/3] [4/3 1/3]

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Q: (D³+3D²– 4D)y = 0 -4x Question 5 Find the solution. dy 31+9y=2ty 5/3 dt

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Q: 10) The following results are from a regression where the dependent variable is COST OF COLLEGE and…

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Q: Find the centroid of the area bounded by the parabolas x = y2 and x2 = -8y

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Q: Q2): Dual problem below: Min Z = 120yı + 6y2 + 105y3 Subject to : 3y1 + 5y2 + 8y3 2 3 10y, + 2y2 +…

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Q: Given the matrices below, find B- 2A [2 A= 4 -5 -5 -4 - c-[;} »-G } -[] Choices: -5 -7 6 -3 5 [13 -5…

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Q: -) Solve the following Cauchy problem: -00 0, u(x, 0) = 1, u4(x,0) = 2 – e¯*, -0 <x< oo. 4 uzz;

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Q: 21 Given the matrices, A = (2 -3) and B = -3 2 find the product AB? AB = (-4 - 3) AB = (-7 1) AB =…

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Q: Find the volume 7 cm 7 cm 6 cm 12 cm 4 cm

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Q: Use the Simpson's Rule to evaluate the integral f x|x²dx

A: Please post the multiple questions separately.Here I answered 1st question  as per our policy.

Q: Write out the first four terms of the Maclaurin series of f if f(0) = 5, f'(0) = 2, f"(0) = 6, f"(0)…

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Q: find a real root of the equation x + x + x + 7 = 0 by using Bisection method

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Q: Sketch Z= 2x^2+3y^2

A: To sketch: Z=2x2+3y2.

Q: Question 2 Find the solution. y" - 2y'- 2y = 0 @ y = c,ev3+c,e° V31 ® y = c,e2-v3)1+c,e(2+v3)1 © y =…

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Q: 1. Q-1: Answer each of the following as True or False justifying your answers: 2. = ()*; } 100 If A…

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Q: Q2 Let f(x) = 2x³ – 0.0064x² – 1.5x + la (a) Indicate that f (x) = 0 has a root in the interval [-3,…

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Q: Let T : R + IR3 be a linear transformation given by T (v) = Av where A is the following matrix: -2…

A: let T:ℝ4→ℝ3 be a linear transformation given by Tv=Av where A=-2-1-22211200-14 find vector w , w' ,…

Q: Evaluate the integral by changing to cylindrical coordinates. V16 x 2 *16 – x2 - y2 x² + y² dz dy dx…

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Q: 6. Bonus. Fourth Order Runge-Kutta (RK4 Use the fourth order Runge-Kutta method to numerically solve…

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