Find T3 centered at x = a. 1. f(x) = 1 a = –1 2+x

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

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Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x + 23x

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Q: Determine whether each of th or converges conditionally: 1)(-1)* ek k=1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 3,…

A: To find the position function of the particle.

Q: compelete solutions and figures. A circle with an equation x2+y2+kx+4y=12 to point (-2,5) has a…

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Q: Evaluate this integral where C is a positively oriented closed curve delimiting the area D which…

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Q: Find a power series representation for the function. (Give your power series representation centered…

A: We will use binomial theorem for the expansion of the function.

Q: Find the coordinates of the point(s) on the curve y = Va + 3 that are closest to the point (8, 0).…

A: Given problem:- Find the coordinates of the point(s) on the curve y = √(x + 3) that are closest to…

Q: Find the open intervals where the function is concave upward or concave downward. Find any…

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Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x by the line…

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Q: For items 1 to 5, consider this function: 3. y = V5x² – 4 y%3D

A: Given query is to find the derivative of the expression

Q: у" — бу' — 7у%3D11 sin 4x -

A: We have to mention the general form of the particular solution

Q: Example s- . Sketch he region of inteyration anol evalunte the integal-

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Q: Find dy/dx: a. y = cos t dt 0,

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown…

A: Solution is given below:

Q: M3.2 Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

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Q: Strictly NO ERASURE of any kind or change in answer, NO superimposition on final answers. Match the…

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Q: 51 |x* sin 3xdx 2 53 [x' sin 3xdx 55 sin 3xsin 2.xdx

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

Q: fr cos xdx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6. 24 4 3) 0 1 %3D 0.

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Q: Find the equation of the parabola described below. Find the two points that define the latus​…

A: Here we have to find the equation of the parabola also find the two points that define the latus…

Q: Give an example of stable marriage for 3 girls and 3 boys, where nobody gets in couple most…

A: Initialize all men and women to free While there exist a free man M who has still a women  W to…

Q: O f(x) is both injective and surjective.

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Q: Evaluate the definite integral by the limit definition. + 2) dx

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Q: 3 f(x) = x° – cos(x) %3D х — - Solve this question by the Fixed-point method on the topic of…

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Q: A tank initially holds 10 gal of fresh water. At t=0, a brine solution containing lb of salt per…

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Q: Consider the rule f which maps elements in the set A into the set B and which is illustrated below.…

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Q: iven the graph of f below, find the value of + 4x + 3] dx. 4↑ f(x) 3 1 -4 -3 -2 -1 1 3 4 -D1 -2 -3

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

Q: 6. Find the area bounded by: a. The curve y3D4x-x and the lines y=0, x-1 and x=3. b. The…

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Q: solve the following system x-y-z=0                                           x-y=z=2…

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Q: s/25 - s? ds s/ 25 - s ds

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y? + z? = 14, (1,…

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Q: Point A is located on the graph of the relation y^2 = 8x: a: Find the minimum distance between…

A: Here, given that the point A is located on the graph y2=8x

Q: QI Evaluate 2 2 || 2y2 sin(xy) dydx 0 x

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Q: 8. y = x2(x + 1)3 9. (2 x- 1)' (x+ 3)* 10. y=5 x- 3 11, s 3 V16+ KIDA

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Q: 4. sE dx = Inlxl- e* +C %3D (品)+c S(D-) dx =- Ialal + c 5. S2+*dx = 4 Ina Inixl 6. 2 In3

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Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: Write limits of integration for the integral Sw 9(x, y, z) dV, where W is the half cylinder shown,…

A: Given integral:- ∫Wgx,y,zdV where, W is the half cylinder shown below: The length of the cylinder…

Q: 4. Consider the function f(x) = (2x - 3)5. Discuss the continuity and %3D differentiability at x =…

A: 4.f(x) = (2x-3)15 from the graph, f(x) is not differentiable at x=32 , since slope changes at x=32…

Q: What is the bottom equation for this, please ?

A: Apologies for the inconvenience.   We graph the given equations using graphing calculator.

Q: series onvergent, 8· 16 · 24 · (8n) .... n! n = 1 O absolutely convergent O conditionally convergent…

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Q: Use geometry to compute the value of the following integrals (this is not asking about total area).…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: f (x)=, 1- sin x

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Q: 1 b) For G(x) = 2 stationary and inflection points. Show the horizontal and vertical asymptotes and…

A: Given

Q: 10. Related Rates d. The area of a circle is expanding at a rate of 10 cm? per second. How fast is…

A: Note that the area of the circle is given by: A=πr2 Differentiating it with respect to t:…

Q: Write the limit as a definite Integral on the Interval [a, b], where c, Is any polnt in the Ith…

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Q: (a) wnre the x- coordinate of all critical number (s) of R(x) (b) which crinical numberS are 1ocal…

A: k(x)  = K'(x) K(x) is continuous and defined everywhere.   As per the k(x) plot, k(-2) is not…

Q: 8 Jcos xdx Scos xdx 10 12 Scos? xdx

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Q: Suppose that f, g(t) dt = /2. Find g(1) dt g(u) du а. b. c. [-g(x)] dx 'g(r) dr d.

A: Follow next step