Evaluate 1.) SS etan x dx cos?x

Q: e suriace S is the part of the co + Y*

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Q: Determine the value of f(z) = e*cos y+ ie*sin y at z = In 4+ Ti/6

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Q: Prove that  d/dx[cot(x)]= -csc^2(x)

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Q: Tan Be Xe O de d Bo find

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Q: Determine the value of f(z)=e*cos y+ ie*sin y at z = In 4+ Ti/6.

A: For a complex number, z=x+iy , x is the real part and y is the imaginary part .

Q: Let y = (sin z+ cos r)e", x E [0, 27]. %3D

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Q: 4 cos x -dx 1+ cos x

A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)

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A: Givenfx,y=3x4cosy5

Q: Eliminate the parameter t in the following. x = cos 2t, y = sin t

A: Given that x = cos 2t; y = sin t To eliminate: the variable t Needed formulae: cos 2t = cos2t -…

Q: Evaluate the following S(sec X + cot X)² dx

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Q: the area outside r = 1 and inside r = 2 cos 0 is

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Q: If f cos xdx = A +B sin x + Csin²x+ Dsin³x+ Esin*x+ Fsin5x, what is , 2 ) and ( - 2,5). the value of…

A: Given: ∫cos5xdx=A+Bsinx+Csin2x+Dsin3x+Esin4x+Fsin5x.

Q: Evaluate: f si S So cos () dzdzdy COS

A: Given : ∫02∫0π2y  ∫0x cosxydz dx dy

Q: The period of y = 4 cos(5a) is O False. O True.

A: Please see the below explanation.

Q: Eliminate parameters A and B but not parameter C by differentiating x with respect to t. x=A cos…

A: x=AcosCt+B Differentiating wrt t, we get  x'=-ACsinCt+B Again differentiating, we get…

Q: If u = tan- the value of x2 +y? +xy du du at x = 1 and y = 3 is

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Q: Use symmetry to evaluate the followingintegrals.

A: The given integral is ∫-π4π4sec2xdx

Q: Find Cuurtce at Pla,l, 이) (x 2y-1 Xe' î + X Cos (22), 3. (2²+)

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Q: Ex2: Use the identities 4 and 5 to prove that: cos(x- y)-cos(x+y) (a) sin x sin y = 2

A: Formula used -  cos(A-B) = cosA cosB + sinA sinB  cos (A+B) = cosA cosB - sinA sinB

Q: By using u = tan 0, evaluate tan 0 sec*e de.

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Q: cos (In x) dx

A: Given: ∫cosln xdx

Q: calculate SN given by Simpson’s Rule for the value of N indicated.

A: Given, ∫01cos(x2)dx  and N = 6 Solution: Simpson's rule: Area = ∫abf(x)…

Q: Which of the following is true about the DE y" + y = tan (x), where A and B are constants? (Choose…

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Q: Evaluate. S cos a In(secz)dr COS D

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Q: Find d cos Z dz

A: Use the properties of differentiation and the derivative formula ddxeax=aeax, to calculate ddzcosz,…

Q: Y = = ecos(x) + cos(e*)

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Q: Given y = cos(3x), find O O 3 2- * N O √3 3√3 dy at x = 5

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Q: Compute the following. S3x?cos(x³)dx

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Q: Which function has a period of T? O A. y 2cosx O B. y = sin27TX O C. y = 2sinx %3D O D. Y = cos2x

A: To find the correct option.

Q: H.w Evaluate;- Cos TT lt-1)idt

A: To evaluate:  1) ∫-∞∞δt-2e-tcosπt-1dt2) ∫03∫-∞∞t2+4δt-τdτ dt

Q: ecos z sin zdz

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Q: Evaluate si (z* - tan(z) cos(z) ) dx 2-1

A: To find the integral: ∫11x2-tanxcosxx3-1dx

Q: Evaluate the following indefinit 4. Ssin'x cos*x dx

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Q: At which of these x-values is the value of y=cos x greater than the value of y=sin x? Select all…

A: From above we can see that when x=π6, (cos x,sin x)=32,12 here cos x> sin x From above we can see…

Q: Evaluate in x cos x dx. .3 I COS" T

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Q: Sketch the following, marking points of interest. Y = (*+2}(x+4}/(x+3) Y= 2 sin x+1 Y= sin (2x)

A: Given Y = (x+2)(x+4)/(x+3) Y = 2sinx+1 Y=sin(2x)

Q: verify the following trignometric identities. 2cos xsin y = sin (x+y) - sin(x-y)

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Q: 1. Use Trigonometric substitution to evaluate f dx. Hint: Ju? – a² let u a sece.

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Q: Evaluate 1- Sin L Cos L do 2- ( sing ecasy Sdt J-t44t-3 3-

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Q: z{cos (: -)u(: - )} = a) 3 3

A: We find the given Laplace transform. Formula:  L{cos(at)}=s/(s2+a2)......(1)…

Q: Evaluate L{t² cos t}

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

Q: Find the smallest number x such that cos(e^x + 1) = 0

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Q: (a) Use the definitions above to show that d tanh x dr 1 cosh r

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Q: Evaluate the following integral: ∫(cos⁡?)^5 dx    Pie/2 uppper  0 lower Where: sin(pie/2)=cos(0)=1,…

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Q: A certain substitution gives S sin*x)cos"(x)dx = S (u²-u*)du .what is n?

A: For substitution- Balancing the above equation, we can solve it as follows-

Q: Prove that d/dx [cos x] = −sin x.

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Q: Evaluate the following: 2Tt sin x cos x dx a) S"Isin? x cos x| dx 0. b)

A: ∫02π(sin2x)(cosx)dx Let u = sinx du = cosxdx ∫02π(u2)du u3302π = sin3x302π sin32π3 - sin303  0

Q: dy is let y = cos(In(cos(x))), then da

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…