3. 4. Rationalise V7 + V10

Q: Solve for r: V = arh

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Q: メナサ+1 xdy%3D2 1- 2. セーツ

A: In this question, we need to solve the double integral.

Q: Use the method of reduction of order to find a second solution to ty'" (6t- 4)y' + (9t – 12)y = 0, t…

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Q: Solve S = 2πr(r + h) for h

A: Given:                 S = 2πr(r + h) for h     Solution:              Let's make h as the subject…

Q: 28. y" – 3y" – y' + 3y = x'e*. x²e*. %3D

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Q: Use the method of reduction of order to find a second solution to ty''−(6t+4)y'+(9t+12)y=0,  t>0…

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Q: - Find the number of non negative solutions to x + y + z = 21.

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Q: Show that y = 5x2 + 2 is a solution to the DE xy' +(2)/(5) y" = 2y.

A: To show: y=5 x2+2 is a solution of differential equation xy'+25y''=2y

Q: I have the cost function as C(x)=14x+500ln(x+1)+3000 and I'mtrying to figure out the total cost when…

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Q: What is the general solution of 3 (3z + y') dz – 2zydy = 0?

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Q: 4. Find the solution for the following b. y' + 2y't y = cost y) = 1, y ²) = 2

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Q: Solve for y 6 + 3y = 12 O y = 2x + 12 Oy = -a+ 4 O y = -2x + 4 Oy=-2x + 12

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Q: where height = 3x – 1 and diameter = 2x + 4? * [A] V = 7 (6x² + 10 x - 4) (B] V = r (3x³ - x² + 12 x…

A: Height of cylinder = 3x - 1 Diameter of cylinder = 2 x + 4  To Find : Volume of Cylinder  Proof :…

Q: se the method of variation of parameters to determine a particular solution to the given equation.…

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Q: The cost y (in $) to rent a 5-ft by 5-ft storage space for x months is given for two companies,…

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Q: Sr'+y = 25 Solve: x+3y = 5

A: Topic-pre calculas

Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?

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Q: 3. Find the number of non negative solutions to x +y + z + w = 21.

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Q: 3.) The revenue for a company producing widgets is given by y =- 25x widget. The cost for the…

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Q: Solve the fallowing: X+3Y=40+ 1 X-2Y=D9

A: Let's solve equations.

Q: 2. JO (y+5) dy (y-3)

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Q: Find the general solution using the method of variation of parameters (1) y" + 9y = 12 sec 3x

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Q: Use variation of parameters to find the particular solution to y'' + 5y' + 4y = 2e-34 Y(t) = […

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Q: Use the method of reduction of order to find a second solution to ty'' – (8t + 2)y' + (16t + 8)y =…

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Q: Solve for for the equation y = aln(x + )+ 4tan(;)– 2x O a. T O b. In(4 + x) O c. none of these O d.…

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Q: Solve for x: 4(x-5) =D9y 8. %3D x = [?]y + [ ]

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Q: a) (x² + y² + z²)² = xyz %3D

A: see the attachments below

Q: dz V(z2 - 8)5 21

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Q: 50s d. F(s) = (s + 1)²(s² + 4s + 13)

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Q: Find the general solution of (1) y′′+4y=8tant−π/2<t<π/2.

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Q: solve for y in terms of t or x, as appropriate.

A: given: lny=-t+5 we have to solve for y in terms of t or x, as appropriate

Q: For what value of k will y=2x^2+kx-9 have a minum at x=3?

A: The given equation is,

Q: 3. S(3Vx + dx 2 (x+3) + C

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Solve the following 2nd order D.E using variation of parameters method: y'' + 2 y' + y = e^(-x)

A: The non homogeneous differential equation is given as y''+2y'+y=e-x Corresponding homogeneous…

Q: V9-r² S xydzdydx •3 (d) S So

A: We have to find value of given triple integration

Q: a) b) √ (x² + 2x) dx x+2 I X2 S dx √x

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Q: A colony of bees increases by 25% every 3 months. How many bees should steve start with if he wishes…

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Q: Use the method of reduction of order to find a second solution to ty’ – (8t – 3)y' + (16t – 12)y =…

A: Given: ty''-(8t-3)y'+(16t-12)y=0, t>0y1(t)=e4ty2(t)=? We have to find the second solution y2(t)…

Q: 3 By using the first principles, differentiate (x)= 3 S'(x) = %3D Answer: 2x2

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Q: Find the solution. dy 31 +9y=2ty 5/3 dt

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Q: 5. Give an equation, for y = v4 – x2 compressed vertically by a factor of 3 %3D

A: We know that when the graph of f(x) is compressed vertically by a factor'C'.  Then the transformed…

Q: Find the general solution to the DE using the method of Variation of Parameters 8 у" — 4у 3D e 2x +…

A: Introduction: The formula of the particular solution by the variation of the parameter of the…

Q: dy 1. Determine the general solution of x = 2 – 4x3

A: since u have asked multiple question in a single request so we will be answering only first…

Q: Determine if y=ex −7x−4 is a solution to y′−y=7x−3.

A: To test whether the given function y(x) is a solution of the given differential equation

Q: (x² – 1)y' + 2y = (x + 1)² %3D

A: Given: x2-1y'+2y=x+12

Q: Show that y = c1ex + c2e-x + c e + 3 is a solution of y ||| -2y | | - and | + 2y = 6 (justify).

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Q: ty" – (t+ 1)y' + y = t?

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Q: 5 In(3x) dx 5ln (3x) +C 12. 4

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