Evaluate . 2y2 cos(x) dx + 4ysin(x)dy where C is the line from (0,0) to G,0) and then a line from (, 0) to (금,1) (G1) O a. -1 O b. -2 OC. 2 O d. 1

Q: Simplify: Зw 5 w-3 3-w Зw-5 OA. 3-w Зw-5 O B. w-3 3w OC. w-3 Зw-5 OD. (w-3) | Зw+5 OE. w-3

A: We have  to simplify

Q: 1. The line y - 6 = 2(x + 4) passes through which point? OA (-4,-6) O B. (4, −6) Oc( 4, 6) OD (2,6)

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Q: aluate √y² ds where C is the line segment from (2,1,-4) to (4, 1, 5). C

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Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Which of the following points is on the line with the given equation y = 1- 4x? A) (0, 0) B) (-1,…

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Q: Given u = (-2, 4) and = (1, 6), find 3(uw).

A: The vectors are given by u→ = -2, 4w→ = 1, 6 To evaluate: The value of 3u→·w→

Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

Q: If A = -4 + 2i and B = 3 – 5i, in which quadrant does A + 2B lie?

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Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: Evaluate 2 (y + y cos x)dxdy -3

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Q: Number 24

A: To evaluate

Q: Find the distance d from the point P = (6, 1, 4) to the line r(t) = (4 + t)i + (1 + 2t)j + (1 +…

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Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

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Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx