Evaluate the indefinite integral above. /-x+11dx

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A: Taylor series of ln⁡(x) around a=2A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

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A: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

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Q: Given f(x)dx= 3 and 3 } pixkidk g(x)dx= -1, find 3 158x [5f(x)-2g(x)]dx. ...

A: Integral f(x) is equal to 3 limit from 3 to 12.Integral g(x) is equal to -1 limit from 3 to 12.

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Q: (Technology Permitted) Find the area of the region enclosed by the graphs of f(x) = - 3x +6 and g(x)…

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Q: Find the distance (m) traveled by a particle in the x-y plane with position (x, y) for the time…

A: Find the distance (m) traveled by a particle in the x-y plane with position (x, y) for the time…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: d) F(x)= [√e² +e™² dt 2x

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Q: Problem #7: Evaluate the surface integral f FdS where F(x, y, z) = xyi - y²j-9zk and S is the sphere…

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Q: (4) (5) 3x + 1 = 4y² 7x²+x+7y²- y = 0

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Q: The graphs of y=-e following. y=esin 4x and y-e are shown. Use them to graph the For one period of y…

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Q: 2η 3. Σ. 1 n=1 nn

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Q: Evaluate the definite integral a) Find an anti-derivative [2√ada 6 [2√æda 0 b) Evaluate 6 [2√ada = =…

A: To evaluate the following definite integral.

Q: The 4th degree Taylor polynomial for sin(x) centered at a = is given by the following. sin(x) = 1 +…

A: Rewrite asx=39

Q: Question For which value(s) of x does f(x) = 3x - 10 have a tangent line of slope -4? If there is…

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Q: Using n=2 equal-width subintervals, approximate the area of the region bounded by the graph of, f(x)…

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Q: A landscape architect would like to design a rectangular flower garden with an area of 128 square…

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Q: For the function  below, determine the open intervals where it is decreasing. f(x)=(x+4)^2/3 Group…

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Q: Consider moving a particle along a path given by r(t) = (e³¹, e¹, e³¹) with 0 ≤ t ≤ 1 subject to a…

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Q: For f(x) = Evaluate the following expression. Select the correct answer below: 01 04 02 O The limit…

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Q: b. y sin x at x = ЗП 4

A: To write the equation of the tangent line.

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Q: a) dy dx dy b) = dx dy dx c) = x² + e10x = yx³ In(x) ey

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Q: Use implicit differentiation to find dy/dx. 8. x³ – xy + y³ = 1 -

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Q: Use the integral convergence or Check all the conditions. 80 10 112 test to or divergence of the

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A: given  and

Q: Use the alternative curvature formula k = following parameterized curve. r(t) = (4 + 2t²,2t,0) K=…

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Q: Find all vectors u that satisfy the equation (1,1,1) xu= (-6,1,5). Select the correct choice below…

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Q: Find a parametric equation for the line through the point (1,3,-3) and perpendicular to the plane 3x…

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Q: 3 40 32 24 16 8 4 5 Evaluate the definite integral * 3 6 (4x + 10)dx =

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Q: solution is -3/2

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Q: Use Newton's method to find the positive fourth root of 5 by solving the equation x4-5=0. Start with…

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Q: Let f(x, y, z) = ey-z² X Find gradf(1, 1, -1) and G(x, y, z) = fyy- faz. УУ

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Q: Evaluate π [15. 0 T $15 0 15. 1 - cos x 2 1 - cos x 2 dx = dx.

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Q: Given the graph of f(x) below, find the graph of the derivative of f(x). Select the correct answer…

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Q: 32. Assume that f is continuous and S f(t)dt = sinx -x cos.x. (a) Determine f(π). (b) Find f'(x).

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: If F(u, v) = u³ ln(2v) and u = x - 2y, v = " y compute 8² F Әхду

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Q: Estimate the area under the graph of f(x) =3x² + 12x + 14 over the interval [0, 3] using five…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Find the surface area of the part of the plane z = 2x - y − 3 that lies inside the - cylinder x² +…

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