Find the Fourier f (x

Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

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Q: tan²(x – 2) +2 sin(x – 2)4 Evaluate: lim

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Q: 4x2 + 4y? + 122 = 9 and the point P = (1, 1, 1) on this surface. A. Starting with the equation x =1+...

A: We have to find the normal line through P and tangent plane through P.

Q: Solve the following differential Equations

A: Given differential equation, x2+y2+1dx+xx-2ydy=0x2+y2+1dx+x2-2xydy=0 Formulas used, ddxxn=nxn-1ddxco...

Q: Use sigma notation to write the Taylor series about z = 1, for the function. 3 In z; z0 = 1 k =

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Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: Given that for a certain ice cream company indicates that if the price per cup of ice cream is $50.0...

Q: Determine the function represented by the graph -2m 7m 8m

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Q: sin(2a)dx + cos (3y)dy 3 0, у(т/2) — п/3 ||

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Q: 5. The following data give approximations to the integral M = sin x dx. Jo ()- () N (h) = 1.570796, ...

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Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the...

A: Let's find. 

Q: 2) y'+2xy = 0

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Q: Find: 6x 3x2-7x+4 dx ---

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Q: A diver launches themselves off a diving platform into a pool. The height, in metres, of the diver a...

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Q: xp xy6x -x

A: The given integral ∫1x6x-x2dxThe integral formula,117. ∫duu2au-u2=-2au-u2au+C

Q: dx The integral where u= f(x) and for some constant, k. Compute (2). reduces to ex + 1 e2 +1 A e? e ...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Ratio Test :  Suppose ∑ak be an series and            ρ = limk→∞ ak+1ak , then(i)  If ρ <1 , then...

Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: Find the distance between the points (distance formula) 5.(2a+c, 2d), (2b-c, 2c) 1.(3, 2), (4, -3)

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Q: Using Figure 1, complete the following function. V Figure 1 cote = O r/v v/u r/u v/r u/v u/r O O

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Q: Evaluate the integral 4x4- 12x2 +7 xdx.

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Q: Use the binomial series to find the Maclaurin series for the functi 1 f(x) (1 + x)3 |(2-3) f(x) = Yo...

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Q: Situation 1: Find the area bounded by the curve x^2 = y + 2 and the line x + y = 0 1. Using Simpson'...

A:   A=∫-21 (-x-x2+2) dxA=[2x-x22-x33]-21 A=2(1+2)-12+2-13-83 A=112 A=5.5 square units

Q: 8. What is de x2+1

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Q: 2. Use the Intermediate Value Theorem to show that 2.x - 3 if – 3 0 has a zero on the interval [-2, ...

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Q: Determine the equation (both standard and general) of the following conic sections based on the cond...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: Find the derivative of the function. y = cot?(sin(8)) - 2 cot(sin (0)) [cos ec°(sin(0))]-co s(0) COs

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Q: Please see the attached photo for the given and don't use the Transcribed Image Text because it's ch...

A: Given

Q: 2+ cos x 5 (b). Let g(x) = Find equations of the tangent and normal lines to the x sin x graph of y ...

A: First find the point corresponding to given value of x then take the derivative of function to get t...

Q: Cos (Jx) dx

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Q: 10) Construct a Pictograph illustrating the information provided in the chart. Label the pictograph ...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+ x %3D 00 f(x) = 1 ...

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Q: Use any method to determine whether the series converges or diverges. 00 (6k)! k=0 O The series conv...

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Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3)

A: Distance between two points are  √(x1-x2)^2+(y1hy2)^2  

Q: (-1)"n! 3. (a) Test the series for absolute convergence. n" n=1 2 4 2n-1 (b) Prove that the series 1...

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Q: an+1 to determine if the sequence {ne" } is strictly increasing or strictly decreasing. an Use the r...

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Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

Q: (*y3 - ) + y² = 0 1 1+9r

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Q: [2x – 5] x if 0 3. - Determine if f is continuous or discontinuous at x = 0 and at x = 3. If di con...

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Q: Please see the attached image to see the given. thank you  (a.) the critical numbers of f (b.) all ...

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Q: Use the following results, if needed, to determine whether each series converges or diverges. If the...

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Q: Is the series convergent or divergent? Prove in no more than two sentences. +oo 1 n=1

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Q: 3x What is f'(x) given the integral function f(x) = (4u – 2) du? O f'(x) = 4x-2 %3D O f'(x) = 12x -2...

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Q: 3. Find all values of a, b, c so that the following function is continuous for all values of x x-1 s...

A: Please see the below picture for detailed solution. 

Q: Find the nth Maclaurin polynomial for the function. 2x – 5 - f(x) n = 4 %3D X + 1 P(x) = %3D

A: According to question,Given Function,fx = 2x-5x+1n = 4

Q: Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у — 3...

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. dy 1 2xy = 4y, y(1) 3 = %3D d...

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Q: f(x) = x(6 – x)-

A: Given :f(x)=xa(6-x)b 0≤x≤6

Q: Je2x sec2(e2x+1)dx ktan (e2x+1) + C, find the exact value of K. If the solution to is equal to A B -...

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (7.),qs Q(5,...

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Q: Question Define R as the region that is bounded by the graph of the function f(x) = + 2, the x-axis,...

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