Fina the exalt val giren than sincu cos(v)=15 17 and Sincut!

Q: f sin e-cos = -1/3, what is the value of sin 2 0?

A: Since multiple questions are asked I am answering first question

Q: sin (t) -dt 3 (4+ cos (t))?

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Q: cos ydy sin2y+5sny+6

A: To evaluate: ∫0π2cosysin2y+5siny+6dy Solution: Let substitute t=siny dtdy=cosydt=cosy dy Limit will…

Q: sin In sin )dx - cos(sin-!x) + C V1-x? A) True B) False

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Q: sin () (cos (t*) + t)dt %3D (2), NOTE: Enter a function as your answer. Make sure that your syntax…

A: In the given question, the Fundamental Theorem of Calculus Part I is applied. ∫afxgtdt=gfx·f'x

Q: () 20. (x. y) = sinx cos y, P =

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Q: d. r = 1+2 sin(0) e.r = 3 cos(20) -2- -3 -4+ 4+ 3 -4 -3 -2-1 2 3 4 -3 -4+ -4 -3 -2 4 -3 -2 -1 2. 3.…

A: (a) this is the graph of r=1+2sinθ

Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: | sin 2 tsin2tdt (A) sint sin 2 t C cost D sin2t E) None B

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Q: Show that if z = x+ iy, then: | cosh-z|2 sinh x Hint: use the equation: | coshzf = sinhx+ cos"y

A: We have , z = x + iy We know that ,  coshz = ez + e-z2 Therefore , cosh (-z) = e-z + e-(-z)2 = ez +…

Q: Q.5/ Show that sin(z) = sin(x) cosh(y) + i cos(x) sinh(y)

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Q: z = 2e"žsinx – 3e*cos(y) Ве find: www a²z a2z (n az а) дхду"") дудх ,b) ду

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Q: | cos'x cot x dx 3.

A: To integrate the given.

Q: (2) Find it -ソ= x(lue) 2- Y=lu(Cosx )

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Q: Cos X. is iF C3)?

A: Given,            Consider the function Fx whose second derivative is F''x=18x+3cosx.           Also…

Q: f(1, y) = cos cos y is = COS I COS y

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Q: cos e de V1 – sin 0

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Q: f(x) = 2 sin(cos z)

A: Given,           y = 2 sin(cos x)

Q: I+11z|10 dx=? O a. 2lna + arctan(x + 2) – In((x + 2)) + C O b. Inx? + 5arctan(x + 2) – In(1+ (x +…

A: ∫x2+11x+10x3+4x2+5xdx

Q: 3 dy Зу =-sin -1 2 - sin +C V4-9y2 3 A) True B) False

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Q: r=2 Sin cQ-Ę) Cos co-Ę)

A: The given equation is r=2sinθ-π4cosθ-π4 Apply the formula sin2θ=2sinθcosθ to get:…

Q: X- A coshx + B in ha +13 Sin be +4e

A: Answer

Q: f tanx = 5 and cosx > 0. Sh

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Q: cos' v dv 1-sin v 2.

A: Given

Q: cos e de O 4

A: Given

Q: f(x) = (cos x – 3)* + 2x?

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Q: 3. f10x-sec(5x) tan(5x²)dx ans : sec(5x²) +c (VF). cot 4. dx ,note: Vx = xr ans : 2 In

A: ∫10x·sec(5x2)tan(5x2)dxlet u=sec(5x2)du=sec(5x2)tan(5x2)·10x  dxdx=dusec(5x2)tan(5x2)·10x Replace dx…

Q: 6te" Sin " Cos 7t 10.) f( t) = 2 2

A: Given that: f(t)=6te2tsin7t2.cos7t2

Q: tor 7(t) = 2 costî+ 2 sin 2t ĵ + cos 2t k. %3D

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Q: Z is a complex variable z=x+iy  question attached as photo

A: Consider the closed integral

Q: If sinh I = 2 =, then tanh z is Select one: V5 O a. b. y5 2 O c. V5 O d.

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Q: I d (Cot x) (COS X dx sin X * Sin x (-sin x)-cos x (cos x) (Sinx) (sin*x + ças* x) Sinx + Cos x )…

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Q: * 16.PUse FTC Part I to find g'(x) if g(x) = sin t dt.

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Q: Find y' for y=3 sin?x+3 cosx. A O .BO 5 .CO sinx .D O cos x

A: using formula for first derivative of trignometric function

Q: = cx + In(cos x). For what value of c is f'(T/4) = 7? C =

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Q: sin ydy (4 + cos y)²/3

A: We know that integration of xn is xn+1/n+1 +C. Here C is integral cosntant.       Here i attached…

Q: dr Suppose x and y are functions of a third variable t. If sin (x) + cos²(y) = ² and dr what is the…

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Q: 3 sin 2 tsin2tdt (A sint 3 B sin 2t c) cost (D) sin2t E None

A: Indefinite Integral:

Q: 2 cosh V5t + t5 1 -2t sin 2t

A: Definition of Laplace transform :Let f(t) be a function Laplace transform of the function is…

Q: e cos(x) = 1 + sin(xy) 2 2

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Q: Coтрule the mtegral sin r dr т — 4г + 5

A: This would be solved using catchy integral theorem.

Q: cos (x) d.x sin* (x) | sec (4x) dr (f) (b)

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Q: 8. fx,y) = sinx cos y

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Q: Sinh メニ 2o COSN メー? Secnx =? tan h X=? Cotn X =?

A: Given, sinh x = 2099  We have to find cosh x,  sech x, tanh x , csch x  and  coth x.

Q: Find the GS of: (r + sin e - cos e)dr + r(sin e +cos E)dO =0 O r2+2r(sine - cos©+C=0 Or2-2r(sine -…

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Q: Evaluate the integrals

A: Evaluate the integrals

Q: sin?x d Prove that 2sinx dx \(1+cosx)² (1+cosx)²

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Q: Let f (t) = et sin 5t

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Q: 3 sin x d.x 4 1. Show that

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