[ 64–x² 64-x²-y 2x? dzdydx. Use cylindrical coordinate to evaluate La LIe4-r2 So

Q: Find the dot product of x = 5 and y = 0 x.ÿ= 2 ི ༠༠

A: Step 1:Given to find the dot product.For vectors of form ⎣⎢⎡​x1​x2​x3​​⎦⎥⎤​ and…

Q: find ---y (a) u•v, (b) u•u, (c) ||v ||2, (d) (u• v)v, and (e) u • (3v).

A: Disclaimer: Since you have asked a question with multiple sub-parts, we will solve the first three…

Q: Use the dot product to determine whether v = 5i and w = -6j are orthogonal.

A: Given:

Q: Find the cross product a × b. a = j + 9k,    b = 4i − j + 2k       Verify that it is orthogonal…

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Q: Express (-23+ j2) -6 in rectangular form.

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Q: Evaluate ( 3+j4)( 3+j4) = A +jB, determine the real component A

A: Given,              (3+j4)(3+j4)=A+jB

Q: Find the trace of the plane 8x – 9y + 2z = -11 in the coordinate xz-plane.

A:

Q: Identify the quadratic surface of the equation 6x? + 3y? + 222 + 24x – 6y – 12z + 39 = 0 Choose an…

A: Given, 6x ^ 2 + 3y ^ 2 + 2z ^ 2 + 24x - 6y - 12z + 39 = 0

Q: Find (2x + 5y)dA where Ris the parallelogram with vertices (0,0), (-5,4), (-2,-1), and (-7,3). Use…

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Q: Find the y-intercept (b=) of the line 8x+5y=20 *

A: Given line is: 8x+5y=20 For calculating the y intercept, put x=0 So,  8×0+5b=205b=20b=4 is the…

Q: Use the adjoint of A to find A−1, where

A:

Q: Complete the square method: Show all your work! Put x² + y² 10x + 6y 15 = 0 in center radius form.…

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Q: Identify the surface for p sin = 9

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: tain the principle root of JZ rectangular form 3-j4

A:

Q: Find the cross product a x b. a = j + 6k, b = 3i - j + 5k Verify that it is orthogonal to both a and…

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Q: Find the real component of In(z + 2w) if

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Q: Use the dot product to determine whether v = 5i and w = -6i are orthogonal.

A: The given vector is v=5i  and  w=6i known fact: Two vectors a and b are orthogonal (perpendicular)…

Q: Given the points (-1, 3), (0, 1), (1, 3), and (2, 9), solve the equation Ax = b for x = c de to find…

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Q: Use the dot product to determine whether v = 3i and w = -4i are orthogonal.

A: Let "." represent the dot product Dot product = v.w Two vectors u and v whose dot product is u·v=0…

Q: V=R Prooflthat Nisavectors sPoe

A: Given that V = ℝ+ Operations + and · defined as, x + y = xy rx = xr, where x,y ∈V; r ∈F To prove: V…

Q: Find In z if z = (3+j4)³(8-j5)¹/³

A:

Q: 3x2 − 2y2 + 18x + 8y + 13 = 0 directrix:

A: Given equation is 3x2-2y2+18x+8y+13=0. Given equation can  be written as:…