Əw Əv y Find when u = 0, v = 0 if w=x² + Əw Əv |u= 0, v = 0 " x=4u-2v + 1, y = 2u + 6v - 1. = (Simplify your answer.) ...

Q: Parameterize the line connecting the points P = (1, 1, 2) and Q = (-2,0,3).

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Q: Q2: Find the axb|, where vector a = (7,3, 4) and vector b = (11, 2, 9)? ...........:Solution

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Q: Find u · v. u - (7, 2) - (-6, 3) V u.v -

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the coordinates of ABC after a dilation of k = -4

A: The given question can be solved as shown in step 2.

Q: M] - [8] x+y -3x+y.

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Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x²-0.01y2,…

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Q: rectangular: (-2, 2, 2 /2) Change to spherical.

A: Given rectangular coordinates are -2,2,22 That is x=-2, y=2 and z=22

Q: Eliminate the parameter (NO SPACES). - x = 2t - 3 and y = 9 – 4t y =

A: given→⇒x=2t-3............(1)⇒y=9-4t.............(2)

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Let ū = (1, 2, -3, 0) and v = (5, 1, 2, -2) . Find the distance between 2u and -30. Round off answer…

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Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,