PART B: Transform the following vector field (including the vector basis) from Cartesian coordinates to spherical coordinates.: 7) F -(xx + yŷ + zz) 1 (x² + y² +2²)³/2

Q: 1. Maria is She eats 444 of the leftover pi -ides to run 5G lnh like to run on an outdoor trail…

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Q: Could you give a mathematical explanation for part c please?

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Q: 2.3 Q13

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Q: , x, minus, 6, y, equals, 45 5x−6y= 45     5, x, minus, 2, y, equals, 5 5x−2y= 5

A: 5x-6y = 45  .....(1)5x-2y = 5  .......(2)

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A: Let's prove each statement separately:1. For a matrix A with row sums equal to 1:   Let A be an n×n…

Q: 7. Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)…

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Q: 3. In each of the following parts, sketch a graph of the signed area represented by the integral,…

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A: and We have to find the orthonormal basis.

Q: j2 (1-j) 0 (1+j) 1 j4 3 j 5

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A: we first check the continuity of f at the points x=0 and x=1

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Q: Problem 2-16 Live Trap Corporation received the data below for its rodent cage production unit.…

A: Output = 50,590  unitssale price = $3.4 /unit.Production Time = 642 hrsWages = $7.4 /hrRaw Materials…

Q: Directions: Consider the following differential equation and function: Differential Equation:…

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Q: Show that the function log |x| is harmonic in R2 \ {0}

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Q: (c) Calculate the volume bounded by the surfaces 2x +y+z= 4, planes x = 0, y = 0 and z= 0. Sketch…

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Q: Use Euler's method with n = 5 to estimate y(3.5), where y(t) is the solution of the initial-value…

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Q: D. Linear combination Note that [14 - 3 of vectors: 2 ][59] [5.1 + 9.4 5.3 + 9₁ -2] = 5[13]+9[42].…

A: 1) Given vectors are Now (2) Given that are  column vectors and  be a  row vector.then where

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Q: slove part D

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Q: Calculate dy. You need not expand your answer. dx dy dx = x = (√x + 9) ( √x + ²/² ) 3 y x X

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