Verify the Divergence Theorem for the vector field and region: F = (4x, 6z, 8y) and the region x² + y² < 1,0 < z< 4 l F. ds = SIr div(F) dV =

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Q: Prove using the mathematical induction that for all integers n >= 1, 12 + 22+ . . . n2 = (n(n +…

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Q: 16. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

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Q: Assume aggregating the inventory in a single warehouse increases the by $45,000. If a CSL of 95% is…

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Q: What is mzBCD? C B 98° A 70° 80° A. 82° B. 168° C. 192° O D. 220°

A: To compute m ∠BCD ,we use the following: The sum of the opposite angles of cyclic quadrilateral…

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A: Given the curves C1:r=2-cosθ, C2:r=2+2cosθ, θ∈[0,2π). Their derivatives are C1:r'=sinθ,…

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A: Given series is ∑n=2∞(x+48)n2ln(n)

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A: Given that a total 820 tickets were sold for a game for a total of $9,128. If adult’s tickets were…

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Q: z – sin z 13. 26 15. sec (1/z)

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Q: ecot(1127 a.26.053 + 22.7038j b. 1.0044 c. 0.1345 0.9526j d. 0.9740 1.252j

A: We find the value of ecot(11&lt;7π)

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A: Given : P = $19312 ,    t = 15 months  ,  r = 11% = 0.11

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Q: Problem 9. Construct a linear fractional transformation that maps -1, i, 0 to oo, 0, -i,…

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Q: 1. The table below lists the scores of nine students in Chemistry and Physics tests. Student 1 4 8 9…

A: Given- The table below lists the scores of nine students in Chemistry and Physics tests. To find-…

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Q: Solve the differential equation below using series methods. (- 8a? – 4)y" – 8xy = 0, y(0) = - 7,…

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Q: Find the exact arc length of the curve I +2)7 from y = 0 to y = 5. Enter the exact answer.

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Q: The curve with polar equation 24 3 cos 0 + 4 sin 0 = s a line. Find the slope and the y-intercept of…

A: We will have to covert the polar equation 3cosθ+4sinθ=24r in Cartesian form. Also, we will have to…

Q: Estimate ë to five digits of accuracy by computing the integral of f(x) = 4/1 – x² for x € [0, 1].

A: Given fx=41-x2 and x∈0,1 I=4∫x=011-x2dx

Q: 9. (a) Show that if n is an integer, then: -o3* (") = 4". %3D (b) Let n be a positive integer. Show…

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Q: . Calculate the area bounded by the curve y= 4(x – 1) and the x -axis. A)

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Q: . Let C be the curve with parametric equations V2 - t? x = 3/2 8 1 t+ 2 where t e [0, +). V2 8 (a)…

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Q: Find the partial sum s5 of the series ∑∞n=11/n6 and estimate the error in using it as an…

A: The given expression is ∑n=1∞1n6. We need to find s5 first. When using p-series, if p is greater…

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A: Solution

Q: Q1/ Solve the differential equation by Undetermined coefficients. d²y dy 1- -3- e3x + 12x %3D dx2 dx

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: 1- Solve the problem P.D.E. u, = uxx + sin(nx) + sin(2nx) fu(0, t) = 0 lu(1,t) = 0 u(x, 0) = 0 0 <x…

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Q: 1 2 31 -1 1. -2 1 2 -1 -3 -2 -3 0- 8 9. 2 41 \-1 6 -1 3 3 4 0 0 1 -2 | 2.

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Q: 2. A parabolic antenna has a width across the top of 36 inches and the depth at the center is 6…

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Q: 1. Express the following statements using quantifiers. a. All cats have fleas. b. No one in this…

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Q: 4. If y = tx, where t is the parameter, what are the parametric equations of the curve x' +y° = 4xy?…

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A: Given linear transformation is Txy = 2x2yx+y

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Q: (2) Prove by mathematical induction that for all integers n > 0, the number 42n+1 + (21 · 33"+1) is…

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Q: 1- Solve the problem P.D.E. Uz = Uxx + sin(nx) + sin(2nx) 0 <x<1 0<t< 00 B.C.s "0,2) 0<t< 00 0 =…

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Q: A corpus contains the following documents: Doc 1- Nice restaurant" Doc 2 - "Great food Doc 3 -…

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Q: choose the appropriate answer

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Q: 5. Find the best least squares fit by a linear function to the data -1 0|1|2 0 139

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Q: Problem 3 Complete the weekly department labor hour report shown below for the cook's position.…

A: Employee 7/16 7/17 7/18 7/19 7/20 7/21 7/22 Actual  standard Bill - - 5 8 8 8 7 36 34 Phill 5 -…

Q: Write the limit as a definite integral and evaluate the definite integral. lim,0 E (15+8#)2 Enter…

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