For the power series E (х-3)" find the interval of convergence. n=2 n5"

Q: lim Vxe 2

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

Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: - dx +3x+3 メstx a. 14 マ tan ()"० 3. 6. 9 tam- C.12 tan-l C d. 9 tan tc e- more.

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Q: 10. A conical paper cup is 10 cm tall with a radius of 10 cm. The cup is being filled with water so…

A: A conical paper cup is 10 cm tall with a radius 10 cm. The cup is being filled with water so that…

Q: 4. Which of the following is the Maclaurin series fore Circle all that apply. (a) (b) (-1) (2n)! (d)…

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Q: 2. Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB.

A: ProjBA=B⇀.A⇀A⇀

Q: Change the following polar equations to rec 6. 12. r = 4-cose

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Q: Jse the linear approximation to estimate AS = f(3.1) – f(3) for f(x) = T Use decimal notation. Give…

A: Here, the given function is: f(x)=31+x2⇒f'(x)=3-1(1+x2)2(2x)=-6x(1+x2)2

Q: X=34-3 X=2-2y (-3,0) 12,07 y = 2X-4 -4 49-3

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Q: Find the first three nonzero terms of the Maclaurin expansion of the function. (x) = e 6x What is…

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Q: Consider and know that the function g defined by 1 g(x, y) = cos (TX /y) + log3(x – y) Answer the…

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Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x %3D

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Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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Q: Determine the first derivative for each of the following functions. Remember to "Tidy" up your final…

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Q: #2

A: To find out the integration.

Q: Find the volume generated by revolvingg the area bounded by the given curve and awd lines y = x', x…

A: Volume generated by revolving the area bounded by curve  y=x3  and line x=0  and y=8 (that is 8=x3…

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…

A: Linear approximation is an approximation of a function with the help of a linear function.  Suppose…

Q: az and ду az A. For each of the following functions z, find ax 1. z= sin3x cos4y 2. z = tan- (2) 3.…

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Q: Directions: Determine the reasons of the following statement In the given figure, if EF GH, then EG=…

A: We want to identify the steps.

Q: 2. xy dx dy

A: While integrating wrt 'x' we will keep 'y' as constant. While integrating wrt 'y' we will keep 'x'…

Q: Consider the curves x = 12y? and x + 6y = 18. a) Determine their points of intersection (x1, Y1) and…

A: Given :   x=12y2 x+6y=18

Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. U. u.) 4

A: Let's find.

Q: dx Vx²-4x-7 7. dy y2-8y+5

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Q: Part 2. Use the integration techniques to solve for the anti-derivative of each fur I. S3p? tan p dp…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: 10 Find the derivative f' (0) of f(x) = at х+4 O using the laws of differentiation.

A: f(x)=10x+4DIfferentiate w.r.t.xf'(x)=ddx(10x+4)Take constant outf'(x)=10ddx(1x+4)f'(x)=10ddx(x+4)-1…

Q: Find the particular solution to the differential equation d²y = 4e* + 3x² given y = -3 dx2 and = 3…

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Q: 1 (s+1)(s2 +1) + cos t - sin t) + cos t – sin t) O Option 4 O Option 2 5(e-cost + sin t) 5(-e+cos t…

A: L-1{ 1/(s2 +1)(s+1)} expand it  L-1 {-s/2(s2+1) + 1/2(s2 +1) + 1/2(s+1)} L-1 s/(s2+1) = cos(t) L-1…

Q: sin 2t sin 5t 20 s4 + 58s2 + 441 O Option 3 None of the choices 1 10 s2 + 32 s2 + 72 s4 – 58s2 + 441

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Q: 3. Evaluate the integral / Vr+3 (x- 1 4 4 (a) 극(z +3)72-(r + 3)52 + 국(2 +3)%2 +C 1 4 (b) (r + 3)"…

A: This question is related to Indefinite integration, we will solve it using given information.

Q: ne differe htial equation 25+ソ-3)dy = ($424-3}dy

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Q: Question * Let f be a given function. A graphical interpretation of the 3-point central difference…

A: The statement is true. see below the explanation

Q: 2. Determine a•5 for each of the following a) å = (7, -3,5)andb = (-5,11, -2) 3. Determine the angle…

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Q: Find the sum of the convergent series. 1.6

A: Gp

Q: 2 2 y-3y 2+y =1+2x°

A: The solution is given in the next step.

Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

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Q: Obtain the differential equations satisfied by the given puiiicular 3. y = e5x - 3x - x2 4. y = e3x…

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Q: Determine the antiderivatives of the following functions: 1. S(x+ 1)100dx 2. S(x²+x)1º(2x + 1)dx 3.…

A: Topic:- application of integration Note:-  as per our guideline if more than three subparts posted…

Q: 1 (s +1)(s² + 1) - cos t + sint) + cost – sin t) Option 1 Option 4

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Q: Find the solution of the differential equation dy x+y=x²y² dx

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Q: 7. Each of the following statements is true. What can you conclude about the vectors i and i f: a)…

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Q: Consider the piecewise function: 2x+8, x3 Determine the value of each limit. If the limit D.N.E.,…

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 3s2+5s+1 (d) 3…

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Q: 4s + 12 82 + 88 + 10 4e-4t 4te-4t 4et + 4tet - Option 3 Option 2 4et 4tet - None of the choices…

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Q: Determine the equation of the tangent line to the curve, y = 4x e at x = 1. Use exact values.

A: Given y=e4xx3     at x=1To find equation of tangent:

Q: 1. Evaluate the integral (22 4т + 4)4/3 da. 3 (a) 1(x+2)1/3 +C 11 (b) (r+2)1/3 + C 3 3 (c) 교 -(x-…

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Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: dy if y =t! and t=Vx Fin d

A: Let's find.

Q: Find, the genetal Solution of the differehtial equation (2x+Y-3) dy= (f+2Y-3)dX

A: Given problem:- Find the general Solution of the differential equation   (2x + y - 3) dy = (x + 2y -…

Q: Find the inverse transform, indicating the method used and showing the details: 2s - 10 -5s 1. s3 3s…

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Q: For each of the following functions z, find and ду 2. z = tan-1 (2)

A: We have to find partial derivatives of z with respect to x and y