Line has equation t= = (3i − j + 4k) + 2(−2i +j+2k) where is a scalar. Line 2 has equation r = (7i-11j +38k) + µ(2i +3j − 6k) where µ is a scalar. Show that lines 1₁ and 1₂ meet, and find the coordinates of point P which is their point of intersection.

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A: r(t)=<t2,1-t, 4t>a(5)=<5,-8,6>a'(5)=<8,8,3>

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A: Given

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A: From part a we have results

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A: given here a differential equation and asked to find the general solution.

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A: Solution in details given below in step 2.

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A: dy/dx = 1+x/xy ,x>0, y= -4 when x=1, We have to find y when x=3

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A: The given line integral is, Where C is the unit circle.

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A: let

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Q: B) evaluate the following triple triple integrals. 3 I s So X ê dx dy dz

A: we do only first part of multiple question. please re-post other parts in next question (B)

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A: Solution

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