Find the distance between (2,0) and (8, -3) The distance d between the points (x1, y;) and (Xg, Y2) is d = V(x, – x,² + (Y2 – v,)². O 3/5 89 O 15

Q: 3-2 P. (4a² b)x3(ab ³) ==

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Q: F .2 .2 x- +y at A=(2, 3), B=(-2, 2) and C=(3, -4).

A: 1.) div F at A(2,3) = <4,6>2.) div F at B(-2,2) = <-4,4>3.) div F at C(3,-4) =…

Q: Find u•v

A: As   u = -12,2         v = 1,6   So,  u→=-12 i+2 j        v→= i+6 j

Q: Find the area of the shaded region. (-5е — 5) 2 y 14 (1, 5e) 12 10 y = 5 e 8 6. 2 y = 5xe -1.0 -0.5…

A: The area of the given shaded region which is bounded by the curve y=5ex , y=5xex2  and x=0  is…

Q: Find f.(x, y) and f,(x, y) for f(x, y) 3x3 + 8y? – 6x + 4y and evaluate each at f(4, 5). f.(x, y) =…

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Q: So 3 Vit7x dx U-substiutson.

A: Use u substitutions to integration

Q: Əw Əv 2 y Find when u = 0, v = 0 if w=x + + ₁ x= x=5u-5v+1, y = 6u + 6v - 6.

A: To find the indicated partial derivative

Q: 6х —9 4.) dx 22— 3х +2

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Q: |(5z* + 3z*) (4x³ + 3x*)° dæ

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Q: x + 4 1. Evaluate dx. Vr2 + 8.x

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Q: Solve for w where u = (1, 1, 0, -1) and v (0, 3, -1, 2). w + 4v = -3u %3D

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Q: dy If 4x3 – x²y + xy³ = 8, then dx

A: Here I am attaching image so that you understand each and every step.

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

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Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: d2y at the point (2,) 48. Given yax-i.find -1, find - at the point|2, ах x

A: Given:The function y2x2 = 1.The point (2,1/2).

Q: |(z + 5)(x – 7)dx Find + C

A: