Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k = 11 6. i+ 6 7 j+ (Simplify your answers. Use integers or fractions for any numbers in the expression.)

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A: This question is based on vector projection.

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A: To evaluate the given iterated integral.

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A: The statement is true. see below the explanation

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A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

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A: We have to check of the objects collide.

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Q: 4. Evaluate the integral 2+ In? x -dx. x – x ln x (a) 3 ln |In a – 1| + 2(ln r – 1) + (In a – 1)2 +…

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A: We have to find binomial expansion.

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Q: A. For each of the following functions z, find and дх 2. z = tan 出一郎

A: Explanation of the answer is as follows

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A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

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Q: Question 1 Determine the inverrse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

A: L-11s-a =eat L-1as2+a2=sin(at) and L-1ss2+a2= cos(at).

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Q: 1. lim yx2 —2х + 7 г2 + 4 — 1 2. lim x→-1 x2 + 7 2? - 5х — 3 3. lim т—3 4х2 — 7х - 15

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 2. y=x² - 4x and y=-x² +2x. y² = x and x² –2x+3y= 2. 3.

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A: partial derivative

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A: Given problem:- Find the general Solution of the differential equation   (2x + y - 3) dy = (x + 2y -…

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A: Given: Fs=3s-14s2-4s+8   As we know that; The inverse Laplace transform identity. 1).…

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A: Explanation of the answer is as follows

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Q: Consider the curves x = 12y? and x + 6y = 18. a) Determine their points of intersection (x1, Y1) and…

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 352+5s+1 (d)…

A: Let's find.

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A: To find out the integration.

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