3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x) +9(X))dx = O

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A: Use the formula for the average value and concept of mean value theoram.

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A: The given integral is  ∫ee8lnx3x dx we solve the integral using proper substitution in the integral.

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A: We have to check the convergence

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A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

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A: logarithm expressions are given,. we have to find the missing values

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Q: f(x)=(x^2+10x+1)e^-x Find the critical points and determine whether it is a local maximum, local…

A: Critical points are points where the function is defined and its derivative is zero or…

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Q: Consider the following. u = (-9, -6, 4), v = (6, -7, 0) %3D (a) Find the projection of u onto v. (b)…

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A: Find your answer below

Q: (a) Ratio Test: (n+1)! n=0 n+2 (b) Ratio Test: 51-n (n+ 1) n=1 5n2 – 2n +1 3n2 +n – 3 (c) Root…

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Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). r(t) = 8 cos(6t)i + 8 sin(6t)j+ 7tk K(t) =

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Q: Calculate the iterated integral. 36 9. )dy dx + 1

A: Given problem:-

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Q: decimal number o.11 11 Eaual ^ true O evror

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Q: (e) Alternating Series Test: Σ (-1)"-2 3n + 3n

A:

Q: A high-walled arena has a radius of 20 meters. Point O being the center, point A is along the…

A: Given that radius = 20 m. So, OA = OC = 20 m. Given OB = 10 m. So, BC=202+102=500=105 m.   Let, D =…

Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

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Q: Consider the function f(x) = 3x – 2x on the interval [- 3, 3]. Find the average or mean slope of the…

A: We know that the average or mean slope of the function f(x) on the interval a, b = f(b)-f(a)b-a

Q: he curve. + sin(tt)j

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Q: 3. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: 1) Sketch the curve. a) r=-2 sin 0 Show All Work

A: Given

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A: Symmetric equation of a line passing through the two points P(a,b,c) and Q(p,q,r) is given by,…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: (a) u v (b) n.n (c) v||? (d) (u v)v (e) u (3v)

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Q: What is the area of the region bounded above by y = -x- + 8 and below by y = x? 54 $2 14 1 23 4 5 64…

A: This is a problem related to integration. Based on the formula of area bounded by given region we…

Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

A: A detailed solution is given below

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Q: Find the following. = (3, 5) U = %3D (a) ||u|| (b) ||v|| (c) ||u + v||

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Q: y" – 6y' + 9y = 0, y(0) = 0, y (0) 2. -

A:

Q: -1 8 - 2 Use this procedure to find the inverse of A =| -6 49 -4 34 -5

A: We can solve this as follows:

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Q: Let f: R →R be defined as Sr + 2, if a < 1, 1-2a, if a 21. S(1) Plot f(r) of f of all r) Based on…

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A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: a) Find the fifth term of the sequence 16 31 46 61 9 ' 15' 21' 27 b) Find the general term of the…

A: a. if you observe carefully, you will see that numerator and denominator of the terms of sequence…

Q: 5. y" – 3y' +2y=0; y1 =e*, y2 = e2x; y(0) =1, y'(0) =0 %3D -

A: Here is the solution:

Q: 1. a. Use the substitution u = e' and partial fraction decomposition to derive the following…

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Q: I just need help solving this integral

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A: Given dEdt=25-8t To find E(t):

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Q: ind an equation of the plane with the given characteristics. The plane passes through the points (4,…

A: