Given the function Evaluate the divergence at the point (1, -2,3) a. 0 b. -64 c. -3î-48ĵ+43k d 29 =3xyz²î + 2xy³ĵ- x²yzk

Q: 2. Find the area bounded by the two curves y = x² - 6x²+ 8x and y = x² - 4x.

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Q: A manufacturer of two products (Widgets and Gadgets) makes a profit of $110 for each widget sold and…

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Q: 8. Using the Runge-Kutta method of the fourth, solve y" = y + xy', y(0) = 1, y'(0) = 0 to find…

A: We take y'=z the Given equation is y''=y+xz,y(0)=1,y'(0)=0,y(0.2)=?…

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Q: 3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y =…

A: The region R is bounded by the parabola y=4-x2 and the line 3x-2y+3=0 and y=0.

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Q: 3) USE GAUSSIAN ELIMINATION 2 -1 1 -1 0 13 0 A = 1 0 - 4 -2 0 1 -1 4 (ROW-ECHELON FORM/UTM) [LAST…

A: We have to find the solution to the given system using the Gaussian Elimination method.

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Q: Let ƒ be a mapping from [2, +∞ [to, +∞[defined by: 3 f(x) = x + = x f has a fixed point. O False O…

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Q: et FCK be a field extension and let R be the alg K. Then R is a subfield of K and FCR.

A: let alpha and beta are in R

Q: II. Solve the following problems. Enclose final answer. 4 4. Given z = Find az/ax x+y "

A: Solution:-

Q: Reparametrize C: R(1) = (¹-²³, Vēts, ²+1) using the arc length is measured from the point P (3, -,0)…

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Q: 11. Given vector u = (2, a, 3), vector v = (1, -3, b) and u x v = (13, -5, -7). Find a and b.

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: ind the complete Fourier Series of f(x) = { 4 if (-2 < x < 0) if (0 < x < 2)

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Q: Find of z= In(xy) 8²y

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Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We will sketch the region bounded and find boundary curve to use polar co ordinate for volume .

Q: (a) Find the curvature and the radius of curvature of the curve r(t) = 3 cos ti + 4 sin tj + tk at t…

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Q: 5. (D³ - 2D+4)y=0; y = -2, Dy= 8, D²y = 0, when x = 0

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Q: Find the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² 4 and the…

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Q: Σx-13x2+1+3,5x3 n = 3! 5! 1.3.5.7 7! + (−1)n 1·3· ‚ 1·3·5·7· · · · · (2n − 1) xn + .. (2η − 1)!

A: We have to find the interval of convergence for the given series.

Q: Trapezoidal (Use n = 9) 5. 6. √² (5√x - ³) dx 3) (5ex-e)dx

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Q: use Newton’s Method to find all the roots of the given equation accurate to six decimal places.

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Q: Find the volume generated by revolving about the line x=0 the area under the arch of the sine curve…

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Q: 1. (D²-8D+20)y=100x² - 26xe*

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Q: 2. Evaluate: √₁² √2 - x + x da −

A: We know that the modulus function fx=x is defined as x=-x,x&lt;0xx≥0. If we take x=-2, then f-2=2…

Q: В =8 7=1 20 - (43(БА 0.03 796 A A= Ву+792 = 89хуг Р=В+29 5+22 У =2

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Q: 9) x² + y² + 12x + 22y + 108 = 0 CX+67² + y +117²=49 CX-47² \ Cy-151²=9 CX-107² + (y +1272²=9 CX-5)…

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Q: 1. Evaluate the solution for the following differential equation y" - 2y + y = 2. Find the general…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Evaluate the geometric series and compute the sum if convergent. ∞0 i-1 Σ48 · (9)'' i=1

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Q: 1. How many corner points are there in this LP problem A. 1 B. 2 C. 3 D. 4   2. Which of the…

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Q: y (0) 6. Consider the differential equation y' = y + 2x with y(0) = 1. (a) Find a closed form of the…

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Q: Suppose that 80 moose were introduced into a wildlife refuge in 2016. By 2020, the population had…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS.

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Q: 5) USE THE LU FACTORIZATION 20 -3 0 20 - 4 A= b= 1 1 1 02 1 1 -3 4 (COLUMN OPERATIONS) 5 1 2 LAST…

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Q: Find the total areas of the shaded regia 47. y=x√4_7²

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: ts] Consider the series [a, - ² Σα-Στ = 2" 3" +1 (a) Show that the series a, converges by comparing…

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Q: Solve the following differential equations using this method First - In both M(x,y)=0 and N(x,y)=0…

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Q: II. Evaluate the following integrals: 1. fe²dx 2. 11 tedx J 1+ 3. fx'e* dx e√x+1 √y +1 4. S dy

A: We have to evaluate the given integrals.

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Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by -π<x<0 f(x) =…

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Q: Region bounded by y=x^3, x=2. Region is revolve about the y axis. Find the volume using disk method

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Q: 2. A tank is filled with 20 gallons of brine in which is dissolved 3 lbs of salt. Brine containing 3…

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Q: Show all the necessary figures and solutions to each of the following problems. 1+x² 1. Find the…

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Q: An integer programming (maximization) problem was first solved as a linear programming problem, and…

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