x³ + y³ + 3 x² siny tan z = 5 az dz and əx Find ду

Q: evaluate the integrals

A: since you have posted multiple questions , so I'll solve first one for you, for rest question's…

Q: y'tan x sin 2y = sin² x + cos² y.

A: We need to solve y' tanx sin2y=sin2x+cos2y This can be written as: y' tanx…

Q: (2 cos z-sin z)² dx Evaluate sin z

A:

Q: = 0 If 2 sin x cos x + V2 cos x = 0. 0, then %3D %3D or

A: 2sin x cos x +2cos x=0

Q: 4. x = 3 + 4 sine, y = 3cos0 - 4

A: Given: x=3+4sinθ, y=3cosθ-4 dxdθ=ddθ3+4sinθ = 4cosθ dydθ=ddθ3cosθ-4 = -3sinθ

Q: x = 2 sin-1 1, y = In (1 – r²) (0<1s!)

A:

Q: siny=x^2 Then find the value of tany

A: Given query is to find the value of tany.

Q: 5. cot(2x)[2+csc(3x)] 0 x &R 6. tantx - tan2x=-V3(1+tan4xtan2x) xE[-n,"|

A: We have to find the solution in radian

Q: x + y ди show that x 1 +-sin 2u = 0 4 If u = cot - x +

A:

Q: 0 sin 0 Find if y %3| Vsec 0 de

A: We have to find the dydθ of the given function   the given function is y=θsinθsecθ

Q: COSX 1+Sinx 1+ SinX CoSX (2) See (mx) tan(inx) e a-be

A:

Q: (1+sinx)9 cos x dx , u=1+sinx is The values of a. (1+sinx) 10 + C 10 b. (1+sinx)10+ c 1 (sinx)10+c…

A: Solution: The objective is to find the value of the given integral

Q: z = 2ev Ве ev-sinx – 3e*÷cosv) find: www a2z a2z az a)- дудх ,b). дхду 4 ax

A:

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = sin-1 (xyz)

A: Given that f(x,y,z)=sin-1(xyz)

Q: eiz-e-iz 1. Show that Sin z 2i

A:

Q: (1+ etane) sec² e de = e TO FO 2 [0(sin(In 0) + cos(In 0))] = de csc(ln 0)

A: ∵1     ∫0π4(1+etan θ) sec2θ dθ=∫0π4(sec2θ+etan θsec2θ )dθ=∫0π4sec2θ dθ +∫0π4etan θsec2θ dθ∵∫0π4sec2θ…

Q: 5. sin¹(sinh(sin(xy))) = 5x; y'

A:

Q: cos(x + y) cosx siny = coty – tanx

A:

Q: lomain of y= sin3x i

A: The graph of sin 3x is continuous on the entire number line.

Q: Sinh exp 2 i sin 1 -i sin 1 -i sinh 1 i sinh 1

A: Note the formula:

Q: i. |sin² xcos² xdx

A: We have to find

Q: Classify and Solve; +9 = cos² t + sin² t + cosh t + sinh t + 3 sin t – 3t dt dt2

A: d2ydt2+9dydt=cos2t+sin2t+cosht+sinht+3sint-3t…

Q: Antiderivative of sec(3x)tan(3x)

A:

Q: C. tan 0 = 3 sin 0 over [0, 2n) %3D

A:

Q: Q2/1 x = 0; pi/100 : 2 Pi; Y₁ = Sin(x) 2. Sin (X-0.25); 83 Sin (X-0.5); ун Y₁ = Cos (x); plot the X…

A:

Q: ♥ дzu ахбу = сезх созу, Ans: u(x,y) = sinx siny + x² + 2 cosy - #2² X 1 бу исx;#) =X бx U(x,п) =X,…

A:

Q: um point(s) for y=sin 2x- cos. d be in ovprossed in rodians

A:

Q: > fnd period of 8- tan 4x 10 2 y. 5 Cos 10* 11 12 → Skekch these funchion 3- 13 14 1 ys 3Sin (X +T)…

A:

Q: ered # tion Bi Q) choose one only 1. If (x + y)² = x² + y² prove that = - dx 2. If y = sin³ () cos³…

A: To find the differentiation of given functions.

Q: 4 + cos t -dt 1 – sin t

A:

Q: šx<2a . dation where 1 1. sin x = 2 2. 3tanx-1=0 3. 2cosx=cosx

A: We will find the values.

Q: cos2tdt 6. S- (1+sin2t)* 7. S tanßsec?Bdß 8. S(tane – 1)²de cos?ydy 9. S (1-siny)

A:

Q: None c) cosh x + C sinh x +C 2 sinh x +C cosh x +C

A: The given integral,      12∫ex-e-xdx

Q: tan" -1 I# Z-X FEMD fyx At (-,1).

A: The solution for the above question is as shown below.

Q: 3 1-sin' t -dt 2 sin? t

A: To evaluate the integral∫1-sin3tsin2tdt

Q: = sin? (esin" t) + cos-1(2t3 (x) = tanh-1 x + In V1– x2 |

A:

Q: ) Evaluate antan L tc 2 - arctan -x3 - 2 tc arctan 3- 2) Evaluate dx 5 arctan arctan x*-5 +C 45 -…

A:

Q: a3z cos(x – 4y) show that a3z 6. For z = дудхду

A:

Q: D Sin 2x 46 4 Sin -3 = -3%3D

A: (a) Given trigonometric equation is: sin 2x = 4 cos 2x We have to find the general solution.…

Q: 2cscx 1.) %3D 1-COSY £) tanx t cot x = secx cs CX %3D a.) 1-sinx = (SECX – tanx)* Itsinx %3D

A:

Q: (ii)V 1 – sinx (in) 1+ cosx 1 + sinx sinx

A: i)Given, 1-sinx1+sinx Take conjugate of denominator term and multiply it with both numerator and…

Q: Prove that sinh z = sinh x cos y +i cosh r sin y.

A: To prove, sinh z = sinh x * cos y + i cosh x * sin y

Q: 8 cossa da V sin a

A: Integral

Q: ∫0π/2[√(cos3x) sin3xdx]

A:

Q: 3. y³x2 – cos- sin x² + esin x = 1 y DIFFERENTIATE THE GIVEN

A:

Q: QI\ Differentiate the following (choose two only) 1)2xsin-13x x+1 2)y = In- X-2 3)y = sin-12x

A:

Q: ll solutions of the equation in the interva tan(x + T) + 2 sin(x + t) = 0

A:

Q: Direction: differentiate the following: sin3x 1. у %3 4+5cos2x 2. xcosy+ycosx =1 3. g(x) = cot 3x 5x

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…