(4z + 5)² tan zy= + dr Cos z

Q: dy +y = zy dr

A: Given equation is: xdydx+y=xy3

Q: 18 Estimate the error if cos t is approximated by 1- 2 in the integral cos t? dt. 4! - -+ The error…

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Q: 7. Evaluate the integral. J CoS X dx 0 1+sin2x

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Q: Determine the following indefinite integral. ( 2 + 3 cos(y) 2 dy sin²(y)

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: The linear operator that annihilates anxn+an-1xn-1+....a0 is Dn+1 The linear operator that…

Q: 8 cos" 2πt dt

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Q: Obtain a formula that expresses the integral ∫cosn x dx

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Q: The differential equation 3zy" – 2y + 7y = tan x is normal on any open interval not containing = 0.

A: The main objective is to determine the given statement is true or false.

Q: Evaluate the following integral. ex cos(x) dx

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Q: O Approximate So In (3 + sin x)dx using Simpson's Rule with(n = 4 %3D

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Q: Estimate the error if cos t² is approximated by 1 integral , cos r² dt. 4! in the 2

A: We have,

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: The given function = cos 4x

Q: 2 Evaluate the definite integral 16sin(t)cos (t) dt.

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Q: ) Evaluate the following integral: S V2 + sin 3t cos 3t dt

A: We have to find solution of given integral.

Q: Evaluate the definite integral. 4 cos(πt/2) dt

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Use Laplace transforms to solve the differential equation de +4-+ 40 = sin (8t) dt d? given that 0…

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Q: dy dr

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Q: 4. Evaluate the definite integral_ TC 3. sin(3t) dt 0.

A: Explained below

Q: please show all steps

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Q: Use at least two methods to prove that dr/dt=0 when r=√x2 + y2, x=α cos t, and y=α sin t if α is a…

A: First method   r=x2+y2r=(α cost)2+α sint2            since x=α cost and y=α sint  =α2cos2t+α2sin2t…

Q: Q1 Evaluate the following: 2- So x(lnx)² In 2e*cose*dx 3-Jın dx TT/3 4 sin x dx So" 1-4cosx In 1-

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Q: Compute the definite integral T/4 0 5 sin² (3x) dx

A: Sol:- ∫0π45sin23xdxTake the constant out:  ∫a·fxdx=a·∫fxdx=5·∫0π4sin23xdx=5·∫0π4121-cos6xdxTake the…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Apply the open Newton-Cotes formula with 3.5 xe*dx n=1 to approximate 0.5

A: For n =1 , ∆x = b-a3 , and the abscissas are x0 = a+∆x and x1 = a+2∆x . The Lagrange polynomials…

Q: Evaluate the definite integral. 1 6 cos(at/2) dt

A: Given:        ∫016cosπt2dt Taking constant out      =6∫01cosπt2dt substitute u=πt2…

Q: HeWal Compute yG), for the differential eguahion

A: The Laplace transform is a particularly elegant way to solve linear differential equations with…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Evaluate the definite integral. sin(3t)dt Preview kl3

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Q: Find the approximate values of the following by using differentials: () (299)2 + (399)2

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate the integral. cos t dt

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Q: Evaluate the indefinite integral: 4t cos (t ) dt = %3D

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Note: As per Bartleby guidelines, for 2 or more different questions asked, only 1 has to be solved.…

Q: Find a linear differential operator that annihilates the given function. (Use D for the different…

A: The annihilator of xn-1 is Dn The annihilator of xn-1sin βx is D2+β2n Now the given function is…

Q: Solve de next differential equation using the lapace transform   y´+ y = sin t + cos 2t

A: Take the Laplace transform, term by term:

Q: Evaluate the following integral cln 2 cosh x dx. sinh² 0. x + 4 sinh x + 2

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Q: Evaluate the following: In) 2e*cose*dx In dx 1- Jo (T/3 4 sin x dx 2- Jo x(Inx)2 3-f. 1-4cosx

A: using method of substitution

Q: y²

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: 7. Evaluate the following integral: 30 cos (2x) sin2 (2x) dx

A: Given that: ∫30cos3(2x)sin2(2x)dx

Q: 1. у" + 2y' — Зу %3D sin(2x), У (0) %3 у'(0) — 0 |

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Q: Find Z in (1-j5) 2= tanh cos lat5 express in lagarithm Form

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Q: Evaluate the following integral. 3 4 cos °(5x)dx 4 cos (5x)dx =| 3

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Q: The following differential is separable: dr = b(cosxdr + rsinxdx) true or false?

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Q: Evaluate the definite integral. cos(Tx) dx 0.

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Q: Use the second fundamental theorem of calculus along with the chain rule to find d sint dt dx 1 o…

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Q: Q1 Evaluate the following: Ine dx n/3 4 sinx 1- Jo 2- Jo x(Inx)2 3-m 2e*cose*dx in 1-4cosx

A: Simple integration problem.....

Q: 15 Evaluate the integral (10 + sin t)" cos t dt using the substitution u = 10+ sin t. + sin t) cos t…

A: We are asked to evaluate the integral.