Solve che DE'sin with Euler 2?

Q: 5. Show that cos (sin 2x) + sin (cos-1 2x) = (V2-2x)(VZ+2x) -

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Q: Integrate the square root of (1 - sin² x) dx.

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Q: Differentiate. cosx² + siny³ = 36 %3D

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Q: Compute : exp(i sin(e¬ni)).

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Q: What is the integral of 1/3(sin^2,theta)?

A: To find the integration [1/(3sin²x)]dx I am writing theta=x just for ease of typing

Q: Use Newton Raphson method to obtain a root to 3 decimal places 1.   x^3-5x+3=0 2.   sinx=1-x

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Q: Prove the trigometr 1-Cos (o) Secco) I +seclo) Sina co)

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Q: the integral of sin5(2x)cos4(2x)dx

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Q: 8- 1 į ult1)}

A: We have to use integral formula.

Q: 2. Write closed Newton-Cotes formula with error for n=1, 2, 3 and then solve integral S* sin(x) dx…

A: The Newton cotes formulas are closed when the endpoint of the closed interval is used as a node. The…

Q: Show that cosh iθ = cos θ,

A: We know that  coshx=ex+e-x2 and by Euler's theorem, eix=cosx+isinxe-ix=cos-x+isin-x=cosx-isinx We…

Q: What do you mean by euler's theorem?

A: Euler’s Theorem is a generalization of Fermat’s little theorem dealing with powers of integers…

Q: 1. If z = sin2+In^, find the value of x- +y X

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Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: Evaluate fi' sin(21*)dt

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Q: 9– x² -dx

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

Q: Express 2 sinx- v2 cos x in the form of Rsin(x – a), w

A: Given expression is   2 sinx -2 cosx

Q: Find the first 3 Zerms o Sinx et a =?

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Q: Use linear approximations to estimate the following. 1. sin 9/4

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Q: What is the integrable form of sin-cos- sin0 do?

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Compute : exp(i sin(e-i))

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Q: Provide 3 examples of the application of derivates (Newton's method).

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Q: Integrate sin" uelor (cosu) . Where n=540

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Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let x₁ = 2 be the…

A: answer is in next step

Q: Use Newton's method to find the second and third approximation of a root of 3sin(x)=x starting with…

A: Here 3sin(x)=x∴3sin(x)-x=0Let f(x)=3sin(x)-x ∴f′(x)=3cos(x)-1 x1=2 1st iteration…

Q: sin x + 10(csc x)² dx

A: To compute: ∫(sin x+10(csc x)2)dx

Q: Evaluate the in tegrol : S sin 5x cog3 5xdx

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Q: Prove that the equation sinx = 0.3 has at least one solution in the interval(o, π/2).

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Q: Solve part d) only Differentiate Show all work

A: d) y=-12e1x2

Q: Integrate with respect to x, the square root of (1-cos5x)/2

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Q: | (о + 1) In (») da

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Q: 4) The curver= V1 + sin20,

A: Solution :-

Q: use a geometry formula to find the exact value of the definite interval square root of 16-x2 dx on…

A: The given can be consider as a function,

Q: Bring out the importance of Frii's formula.

A: Answer: For the given data

Q: 35. Use property IV of Appendix A to verify that 1 L'{arctan(a/s)} =sin at

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Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same time) 1.…

A: sin2x=1-cos2x and,  tanx= sin(x)/cos(x)

Q: 2. Apply appropriate trigonometric substitution to compute the integral 1-4x +2 dx /2x

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Q: Prove that: sinhx + coshx = e* %3D

A: we have  sinh(x)=ex-e-x2cosh(x)=ex+e-x2

Q: What is the integrable form of sin-cos-sin0 de 2 2 du 2 1– u² du cosu du -2 sinu du

A: To write the integrable form.

Q: Su+1 dn th-2

A: I =   ∫135x + 1x2 + x - 2dx    = ∫135x + 1x2 + x - 2dxWriting5x + 1  = A (2x + 1) +BOn solving , A…

Q: Suppose that sin(θ)=2/6. What sec(θ)=______.

A: As we know that; The trigonometric ratios;…

Q: The answer of integ ra Ssinzx cos3% dX

A: We have to evaluate the given integral.

Q: 2* csch (2*) cosh(2*)-sinh(2*)

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Q: Compute sin (3r)dr (25z4+1)2 -

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Q: e). Prove that Sin3A+sinA 25in2A -COSA

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Q: What is the integrable form of sin-cos-sine de? 2 2 V1-u? du -2 sinu du u² – 1 du 2/ cosu du

A: We have given integral Let, I=∫sinθ2cosθ2sinθdθ As, sin2x=2sinxcosx sinx=2sinx2cosx2 So,…

Q: cost+cos4t+cos7t / sint+sin4t+sin7t = cot4t

A: SOLUTION-

Q: sec 1.)S Intanßtanß dß

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Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable…

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