(A y = tan z B y = tan 1z

Q: If sin y =x sin (a +y) then show that dy sin (a +y) (a is not multiple c dx sin a

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Q: b) y" + 2y' =4e' (sin x + cosx)

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Q: Find I for y = tan(x) ||

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Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is: tan x = c + tanh¬' y = c Option 3 an-'(v/x) = c…

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Q: 4. sec? x tan y dx + sec? y tan xr dy = 0 Ans. tan x tan y = C

A: Solution:Givensec2x tan y dx+ sec2y tan x dy=0Formula:ddxtan x=sec2 x∫f'(x)f(x)dx=ln f(x)+Cln ab=ln…

Q: Find the general solution of tan x dx + y cos? x dy = 0.

A: Use seperation of Variables.

Q: ddw? dt (C): If w = tan x and x = 4t³ + t ; Find

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Q: (b) Differentiate tan (10y) h(y) : e(4y) + 1

A: According to quotient rule of differentiation:         According to the chain rule of…

Q: If y = Tan- 1-x V1+x where |x|< 1, then find dyldx.

A: given :

Q: sec?x tan y dy + sec?y tan x dx = 0

A: Given equation is       sec2xtanydy + sec2ytanxdx = 0

Q: TT x sin y dydx 0.

A: Given: ∫01∫0πxsinydydx Evaluate the integral. ∫01∫0πxsinydydx=∫01xdx-cosy0π=∫01x2dx=2∫01xdx

Q: dy Q22. If y=tan x+ tanthen -is: dx (b) I (d) 1+x (a) 0 (c)

A: d(tan-1 x)/dx = 1/(1+x2)

Q: If u = x² tan equal to (a) (c) x - y x + y - 2 + V² 2 X X -, y x + y x - y x² + y² 2 X - y - y² tan…

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Q: dy Find dx? for y = tan(x) dy da?

A: we have to find derivative

Q: dy/dx: if x=tan(x+y)

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Q: dy cos (x) cos (Y) %3D da O a. 2 In sec (3) +tan (3)| = %3D O b. 4 In sec (3)) + tan (y) %3D

A: Given: dydx=cos2x cosy

Q: dy if x= 2 sin t, y = cos 21. Find dx sin 21 A. 2 cost B. - csct C. tan 21 D. -2 sin !

A: If x=f(t)  and y=g(t) , then dydx=dydtdxdt.

Q: dy 2y tan x+ y´ tan² x, if y = 1 at x = 0 dx 4.

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Q: VSDE of tan xdx + y * cos^2 ((x) * dy) = 0

A: The objective is to solve sinxcos xdx+ycos2ydy=0 The formula for integration is ∫xndx=xn+1n+1+c

Q: 6. Find : (a) y = (x +5) tan 7x, %3D dx

A: Given :y=(x3+5)tan7x

Q: dy Find for y = sin (2x +3) da %3D Ans=

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Q: 1. Find y' of tan(x²y*) = 3x + y² Answer: y': 3-2xy* sec²(x²y*) 4x² y3 sec2 (x2y4)-2y

A: We will solve the problem

Q: dy cos?x = -(tan x)y ;y(0) = -1 b) Solve %3D dx

A: Given that: dydx-cos2x=-(tanx)y; y(0)=-1

Q: tanx +y = 0 dx

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Q: B) Find and if x sin 3z and y = tan 3z dx

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Q: dy dr a. r + y = 8 b. y sin y = ry Find for the following: tan-(r + 3y) = rª d. ey + x³ = y *e.…

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Q: c) Determine if y=x tan (x) satisfy dy _ y _ y sec?(r) = 0 when yLu-0=0

A: Put value in equation for satisfied

Q: a) sin(s+t) = b) tan(s+t) = %3D c) s+t is in the second quadrant

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Q: -1 tan y2 y2 +1 n¬² y tan-1 y ) dy

A: We can integrate this integral by using the integration by substitution technique. Here we have to…

Q: dy 12. Find if cos(x + y) = sin(x – y) dx

A: We will find dy/dx

Q: Find for y = tan(x) dy dz2

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Q: (a) / V#(x + 4) dx (b) /; da 5 /4 tan x sec? x da 0,

A: Here we have to integrate the given problem.

Q: differentiate h(y) =tan(10y)/e^(4y) +1?

A: To Determine: Differentiate the given function:…

Q: 1) If dy = tan x, then y =? dx А. !tan?x + C B. sec?x + C C. In [sec x]+ C D. Inſcos x] + C 2) dx =?…

A: We have to choose the correct option.

Q: dy Find , if y = e-3x tan 5x dx

A: Giveny=e−3xtan5x

Q: 1) x cos?y dx + tan y dy = 0

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: If y = (sin¬1 x)², show that dy (1 – x²) da? dy = 2. dr

A: y=(sin-1x)2 we have to show  (1-x2)d2ydx2-xdydx=2

Q: dy is: If y = tan(47x²) then dx

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Q: 1. Find for, (x + y)* = tan-14x + T* dx InIny

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Q: ® Stan®Cx}sec®%x)dx= tan%x) , tan'(x) , tan'0) + C 10 6. 4

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get…

Q: The value of sin(x + y) dx dy is 0 0

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Q: d dx et ex sin x + e* cos x

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Q: The approximation of I = , tanx dx

A: The solution is

Q: d (a) Show that -(sec x) = sec a tan r. d.x (c) Differentiate y = In(sec + tan x). •ㅠ/8 (d) Hence,…

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Q: Find the general solution to the following equations: dy 2+ tan y dx

A: The given is the differential equation which can be solved as shown in step 2.