Q2:- (x²-9 | X # -3 A) f(x) x+3 %3D -6 x = -3 Is f cont. at x =-3 ?

Q: Q4. Find the values of the constants a, b, c so that - F = (axy + bz³)ī+ (3x² − cz)j + (3xz² − y)k…

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Q: d²y Solve the particular solution for = 2 – 4x when points (0, 2) and (-1, 3) are on the dx2 curve.

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A: Given function is fx,y=x2ey. We have to find the ∇f at the point -2,0. We know that ∇f=∂f∂xi+∂f∂yj…

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A: Phase shift: -5π

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Q: Solve the D.E 9+4y = Sec2X %3D

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Q: O Use the bisection method to numerically solve the nonlinear equation 1.5 f(x) = 40x3 – 875x+35000…

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Q: Find d2y/dx2 implicitly in terms of x and y.    x2y − 4x = 5

A: To find the second derivative of y implicitly in terms of x and y.

Q: The y, of y'"-y=2x2-x -3 by using variation of parameters is: .A Y,(x)= x - 1 .B y,(x)=x² + x +1 .C…

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Q: 2s (s² + 1)² 3) Find L¹ 40 by using the convolution theorem.

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Q: Find the general solution of: ydx — х*dy 3D0. || -

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A: We have to find the slope of the line tangent  to the given curve.

Q: Q2. Solve the DE. y"" = x2sinx 1. by using inverse operator method. 2. by using variation of…

A: As per bartleby guidelines for more than one questions asked, only one questions is to be answered,…

Q: 2 Find dyif y.+3x-7 and x =, 2t +1

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

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A: Given that: y=4x3+3x2

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Q: Obtain the general solution unless otherwise instructed d²y 1. dx2 - y = 10sin²x

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 5. f(x) = x - 16x + 64x? %3D Zero Multiplicity Effect

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: х-2 y = at [-1,1] x²+1

A: The given problem is to find interpolating polynomial for the given function and interval using…

Q: OLetL)%3DXD 3X-/0 when x+2-Fénd a value ff(2)that wall !! X-2 make fis Continueus at X-2

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Q: 8. f (x) = x² – 6 , Po = 3 and p1 2 then by secant method p2 is

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Q: Use the diffecential equation dy= and the initial condition. y=(9)%3T. Fad funchion of 81.

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Q: 2a V2ax 2ах f (x, у) dydx (a > 0) е. 2ах-х2

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Q: I Sdve for dy using the four-step rule 2. y = x"- x 5X-3 ソ= 4- 3X

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A: Given a differential equation, y't=2y-t

Q: Q3: Find the aven between the curve y,= x+2 and the Carve Y2=-2X+5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

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Q: y^2 = 4x, x^2 = 4y; revolving about the x-axis. Use washer method. With graph.

A: Solution

Q: The y, of y'"-y=2x²-x -3 by using variation of parameters is: .A y,(x)=Ae*+ Be- .B Yp(x) = x – 1 .C…

A: Given that  y"-y=2x^2-x-3 To find the particular solution by using the variation of parameters

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Q: -3x2 F(x) = S*" t² dt %3D

A: TO EVALUATE THE FOLLOWING INTEGRAL F(x) ∫-x3x2 t2 dt FORMULA USED- ∫abxn dx = xn+1n+1 i.e substitue…

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Q: Suppose that 3x² - y² = t² and y=tsin 0. Find dy ().-0 (27). and X

A: Given 3x2-y2=t2 and y=tsinθ

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A: Using definition of differentiation

Q: Q2/ By using partial method solve fx² In x dx

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Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: Use variation of parameters d²y +pdty+94=Fx) plem) to find a particular solution to y" – 2y - 15y =…

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Q: 41 82x-x2 9V x²+y? dydx =

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