Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, enter DNE. x - 1 y + 1 8x + 9y = 10, = z - 5 -8 (x, y, z) = Determine whether the line lies in the plane. The line ---Select--- v lie in the plane. --Select-- does

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A: Note: As per the company policy we are supposed to solve only one question, so kindly repost…

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A: 5x2+y2=1 --->1x2+2y2=11x2=11-2y2 --->2Substitute 2 in 1511-2y2+y2=155-10y2+y2=19y2=54y2=6y=±6

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A: Let's find.

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Q: 2, 0 4 Evaluate a. lim f(x) X-4 b. lim f(x)

A: Given:        fx=x, x≤02, 0&lt;x≤14-x2 , 1&lt;x≤4-x+5, x&gt;4

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A: Solving the problem by finding the integration.

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A: d) The graph is continuous.Since there is a sharp point at x=0.So, it is not differentiable.It is…

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Q: Consider the following. u = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. i- 3j -…

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A: Let's find.

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A: To give what is asked. To find dydx. To show the solution. y=cos x-4 sin1+x13

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A: Please see the answer below.

Q: 8olve the tollowing paots By Pong division method @(2x+10x+12)÷ (x+3) D(4x²-7x²-11x+5) = (4x+) b. O…

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A: To perform the indicated operation for the given matrices.

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: The Volume of a Parallelepiped Formula  =|(a×b)⋅c|

Q: Application 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of a and b ommus icotion

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A: u=0,5,5u=5j+5kFirst convert vector u into unit vector.uu=5j+5k52+52uu=5j+k252uu=5j+k52uu=j+k2

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Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…