Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

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A: The given differential equation is;  y''+3y'+2y=1/(4+ex).

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A: Given vector,v = 4, -1, 7b = 6, 6, -7Vector component of v orthogonal to b.

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Q: 2. Integrate: x² In x dx a. In x+c. b. [(In x)² ++c c. [(Inx)² - Inx+]+c d. none of these

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Q: Pectangular coordinates of a point are given. Plot the point. (-4, 3) y

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is

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A: Note : As  per our guidelines we are supposed to answer only one question if there are multiple…

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A: Our Aim is to find the polar coordinates of the point 9, π4.Solution⇒Since, we know that the polar…

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Q: Consider the points A(3,-1, 3), B(4, -3,0), C(-2, -2,0), and D(6, 3,-5). (a) Find the volume of the…

A: Let's solve for volume and distance between point and plane.

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Q: 1. 2. Required: (D² + 4D + 5)y (D² - 1)y 2 1+ex 50x + 13 e³x

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Q: What is Part C's answer, it's wrong. Please fix it.

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Q: -8 निर्मा -6 -5 -4 9 -1 -1 -2 2

A: The solution is given in step2

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A: As we know that; The expression for the vector component of v along to b is: Vector component v…

Q: Find a polynomich of Jegree 4 with Zeros x = 1₁ x=2, and x=i.

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A: We have to find the general solution of differential equation

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Q: Determine the partial fraction decomposition for the following expression 7x²-17x +38 (x+6) (x − 1)²

A: The given function is;  (7x2-17x+38)/[(x+6)(x-1) 2].

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A: Consider the curve  r=4+3cosθ

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

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Q: Evaluate Integrals 1 √ ₁ (2 + √5) √5 dy

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Q: Convert the point (p, 0, b) = (4, :) 5T 5T " 3 6 expressions, or decimals to at least one decimal…

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Q: XD² +8D³² +16) y = _ sinx Ans: Y = C₁ cs2x+C₂ Sin2x + C3 Xcos2x + 4x sin2x = 1/-_sing

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