Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. y" + 2y' – 8y = = 6e-2x - e-X - y(x)

Q: Find the Taylor polynomial of degree 3, centered at a 2 for the function f(x) = VI + 5.

A: We will find the Taylor polynomial. 

Q: २२ 221 find the Pur Pe

A: In this question we will use basic concepts of calculus i.e concepts of limits and continuity. Solut...

Q: Let fx) = 10x +4-15 ex, Then the equation of the tangent line to the graph of fa) at the point (0,-1...

A: I am attaching image so that you understand each and every step.

Q: sin'x+8 sinx+16 sin’x+4 sinx

A: topic -  trigonometric function 

Q: case

A: We will find the type of equation and draw the graph. 

Q: dy 9. Find for y=xVx+ 1

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Q: Sx² + 1, x > 1 Зх — 1, х < 1 f(x) = Calculate the purpose of the following functions

A: topic -  limit and continuity 

Q: demand for an electric fan is related to its selling price P (in dollars) by the equation n=3420-90...

A: QUESTION- demand for an electric fan is related to its selling price P (in dollars) by the equation...

Q: Find all intersections of the graphs of the following polar equations. r- 1 - 3 cos 0 and -5 cos o

A: Given polar equation r=1-3 cosθ      and r=- 5 cosθwe want to find the point of intersection 

Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

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Q: Find the inflection points, if any, f(x)=x4 −2x3 +6

A: Find the inflection points, if any, f(x)=x4 −2x3 +6

Q: Determine the following information regarding the function + 2(x - 4)- A. f (x) f "(x) Intervals of ...

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Q: sin" (=)fit exists. Find the value of P T12 + if it exists.

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Q: y = 4x2 + 16x + 9

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Solve the given differential equation. x2y" + xy' + 9y = 0 y(x) ,x > 0

A: We have to find solution of given differential Equation.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: lim[r(t) X u(t)] = lim r(t) X lim u(t)

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Q: Use the Integral Test to determine if the series Σ (n+ 2)/4 1 n=1 converges or diverges.

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Q: Find lak| for the series. 00 k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation an...

A: The series ∑k=0∞kk+12k

Q: C b 630 A 53

A: Topic = Triangle

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A: NOTE: Refresh your page if you can't see any equations. . here the given interval is 

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. 3x (b) If the...

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Q: Use Simpson's Rule with n = 4 to estimate the average value of %3D f(x) = 2ª on the interval [1, 9].

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Q: 4. Calculate the volume of the solid under the plane 4x + 2y – z = 0 and above the finite region R e...

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Q: True or False: If 3 In|x-3|+B In|x+2|+C (x-3)(x+2) then B = 5 Select one: O True O False

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Q: -0o (x2 + 1 Evaluate the integral if it converges. Enter the exact answer, or enter na if it diverge...

A: The given integral,      ∫-∞+∞xx2+12dx

Q: ganbo SuNa an oRYS Finc any Intercepts tercept Petercepts (smaier yviue) C )- rger yvalue) Test for ...

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Q: Write the general antiderivative. (Use C for the constant of integration. Remember to use abs 1 3x d...

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Q: Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the so...

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Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

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Q: Given f(x, y) = a° + 3xy“ – 2y°, find

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Q: Evaluate the integral Sr 8ry dA, where Ris the triangle 8x + y 0, y > 0.

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Q: Find the length of the curve over the given interval. r = 7 - 7 sin(0) on the interval 0 < 0 < 2n

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and sal...

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Q: B. Differentiate the following using Chain Rule. 3.f (2) = (322- 플 + z)" (3=² – +=

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Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second derivat...

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1) 

Q: Let x be a continuous random variable over [a,b] with probability density function f. Then the media...

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a) Expr...

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:...

Q: Given z1 = 2 - i sqrt 5 and z2 = 2 + i sqrt 5 find z1/z2

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Q: How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at...

A: NOTE: Refresh your page if you can't see any equations. . the vertex form of the parabola is given b...

Q: Express the definite integral as a limit of Riemann sums. Do not evaluate! Csc da 3

A: a=3, b=6For each  n (number of sub-intervals) , we get∆x=b-an=6-3n∆x=3nAnd for  i = 1 , 2 , 3 , . . ...

Q: Find Vlak| for the series. k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation and ...

A:

Q: Write out first five terms of the sequences, determine whether, the sequence converges, and if so, f...

A: We have to find the limit of the sequence and find first five terms

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y ...

A: Given: y=1x, x=1, x=6, y=0 From the given curve the bounded region is as shown below; Apply the dis...

Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

A:

Q: A tank in the shape of an inverted right circular cone has height 9 meters and radius 19 meters. It ...

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Q: To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Selec...

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Q: 4[xn+f(xn=1)] p'(xn-4) criterion is x 0.102.

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Q: +00 S" x?dx

A: To write that the given integral is improper or not.

Q: dx

A: Topic = Integration