Let a = ci +jand b = 12i + 9j. Find cso that the angle between a and bis 6' Round your answers to four decimal places and enter the values in increasing order. C = C2 = i

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A: Given query is to find the other two roots.

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A: Given query is to solve the differential equation.

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A: The given series, 91.2+92.3+93.4+......+9nn+1+.......

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A: Find domain.  According to guidelines we solve only first question.

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A: To find the length of the parametric curve  r(t)=4t2+1,8t2-5,t3 over the interval 0≤t≤2. Here, let…

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A: We can solve this as follows:

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Q: M=N

A: answer is in next step

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A: First find the magnitude of the vector and the find unit vector

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A: Given query is to find the area under the curve.

Q: Evaluate the indefinite integral. dx 1 + x10

A: ∫1x2+a2 dx = 1a tan-1xa+C

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Q: Thìnking. Inquiry. Problem Solving.[11] (3] 13. Find the equation of the following graph. Give your…

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A: Solving

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Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

A: Given : Equation of plane is y+3x-6z=8i.e. 3x+y-6z=8   To Find : Parametric and symmetric equation…

Q: 1 Using u = 1 + 2x6, then the integral | x°(1+ 2x6)5 dx becomes 12 us du- This evaluates as 5+1 1 12…

A: Follow next step

Q: au = 6x + 7, du = e*dx. %3D

A: answer is in next step

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Q: 47. Minimum material. A rectangular box with no top and two parallel partitions (see the figure)…

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Q: 28. f,(2,4) if f(x, y) = x* In y

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Q: -4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the…

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Q: 1. Budgeting for least cost. A manufacturing company pro- duces two models of an HDTV per week, xr…

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Q: Solve the inequality 36x –x<0 and write the solution set in interval notation.

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Q: Find the vector component of v = (4, - 1, 7) along b (3, 6, -6) and the vector component of v…

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Q: а. у %3D х-5 — 4х* + 5х-3 -10х — 20 4x4 + 5x-3

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Q: -1 10 05 -2 3 2 1 -2-6 5 2 4 4 0 -2 2 1. Let A= and C = Let a = 4 and 3 =. Compute the following:…

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Q: (x³ +2x)" Find dy/dx, given the following: y = V2x-4 (2³ +2x)“ V(2r–4) 17 -36a²+10x-24 %3D (2x–4)²…

A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

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Q: Set up iterated integrals for the scenarios described below. a. Set up, but do not evaluate, an…

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Q: The angle between (0, –6, 2) and (4, 8, 7) is: O A. orthogonal - O B. acute.

A: We will use geometric definition to determine the angle.

Q: Find the distance between the skew lines i(t) = (3, 0, – 2)t + (7, 9, 0) and p(s) = (4, – 4, – 5)s +…

A: We have to find the distance between skew lines.

Q: Let a = (4, – 5, – 4) and b = (4, 3, k). Find k so that ā and b will be orthogonal. k =

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Q: 33. f(x, y) = xr – 3xy² + 6y²

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Q: dx 2. e2x+1

A: ∫dxe2x+1let ex=tan ydifferentiate O.B.Sexdx =sec2y dy∫1tan2y+1×(sec2y dytany)