The following question is about the rational function (x + 1)(x - 2) rex) = (x + 2)(x – 6) The functionr has horizontal asymptote y

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Q: Let f: R2 → R. At some point, a , we have that f(a) = 5 and that Vf(a) : What is the equation of the…

A: answer is in next step

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A: We will find the value of a and b.

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Q: S 3p? tan p dp

A: To integrate.

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Q: Show

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Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

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Q: 1. Find the equation of the plane containing the lines L1 and L2 given below: z = 4t + 3 z = -4s – 1…

A: Given :L1:  x=2t+1, y=3t+2, z=4t+3L2 : x=s+2, y=2s+4, z=-4s-1

Q: vertical asymptote z=0 S'(z) > 0 for z -3, (z # 0) f"(z) 0 for z > 0

A: Let's find.

Q: 3. Find where the curves intersect, draw a sketch of the region, and compute the volume when the…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = - 3 ex cos (yz),…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A: topic- ellipse

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

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Q: aluate the function. Give the exact value. cos tan(V3) -1 cos(arctan( V3% = 0.5

A: Given query is to find the value of the expression.

Q: (a) The equation of motion for a moving particle is s(t) = t³ – 3t, where s is in meters and t is in…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Company data suggest that the total cost of a certain flight is approximately C(x) = 120x – 0.38x +…

A: This is marginal cost finding question.  We can find the marginal cost by differentiating the…

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Q: Define f : R2 → R by f(x) = -9 x2 + 10 æy – 6 y² + 100 x – 62 y – 20. 1. Obtain Vf and give each…

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Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by…

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Q: 3. Find the curvature K of the space curve r(t) = (cos³ t)i + (sin³ t)j. (Note: Since you aren't…

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Q: answer

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Q: (D² – 2D – 3)y = 64xe³*

A: The given differential equation is:D2-2D-3y=64xe3xWe will solve this by method of undetermined…

Q: The interval of convergence of the power series x2n Σ (-3)" n=1 is:

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Q: oint) Use the graph of f(x) shown below to find the following integrals.

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Q: Evaluate the integral using the appropriate substitution. You must use a substitution for this…

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Q: . L'Hôpitaľ's Rule Evaluate the following limits or explain why they don't exist. 1 lim 1 X→0 sin x

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Q: A cross section of a nuclear cooling tower is a hyperbola with the equation y? - = 1 902 1302 The…

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Q: (-) Suppose the following expression gives us how much a certain investment accou worths after some…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 Po(x) =

A: nth Maclaurin polynomial for the function f(x) :       Pn(x) = f(0)+f'(0)x +f''(0)…

Q: Current Attempt in Progress 9. Find f(2x + 4)dx if f(x)dx = 3. Enter the exact answer. f(2x + 4)dx…

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Q: Acos'e -3=-4cos0

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Q: 4 2 6e"*+2dydx =? (a) 2 (e* – e?) (b) 2 (e10 – e°) (c) 2 (e16 – e?) (d) 2 (e2 – e?) (e) 2 (e64 – e?)

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Q: 23л Find the exact value of sin 12 23л State the exact value of csc 12

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Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy+yz+ zx, Po(-1,1,2).…

A: Given :f(x,y,z)=xy+yz+zx

Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction…

A: A detailed solution is given below.

Q: - 7z - 25 Evaluate (3x + 5)(r – 1) Add Work Submit Question

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = x² and…

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Q: The average amount of time that a customer waits in line for service is given by W(x, y) = y < x…

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Q: Let p(x) be a polynomial of degree 3. Its derivatives, around the point æ = -5, are as follows:…

A: solution:-let p(x) be a polynomial of degree 3p(x)=ax3+bx2+cx+dwhere a,b,c &amp; d are parametersat…

Q: The area bounded by the curve y = 6(1 --), the lines x = 0 and y = 0 revolves around y = 0. Answer…

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