sin x dy Given: y = Compute for dx 1-2 cos x

Q: Can you help me step by step?

A: Using the formula of derivative of quotient of two functions, that is, . And using , we have,

Q: dy for y dx defined implicitly by the equation tan(x²y*) = 3x + y? 1. Find

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Q: The appropriate change of variables for the dx is Vx²+2x+10 O x=10 sinØ O x+1=3 sinØ O x-1=2 tanØ O…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

Q: a. sin y i + cos x b. хyz (хі+уј+zk)

A: Note that : Curl of the vector field describes it's rotation.

Q: dy Find dx for the following function. y = 7 sin x+5 cos x

A: on differentiation with respect to x we get

Q: dy of the following. dx A. Find 1. y = (sin* x²)[sec(Sin-1 x²)]

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find d(tan x)>dx.

A: dtanxdx

Q: Lind dy/dx Sin x 1- CosA 2. Sin n4 fos H Cos n

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Q: Given: x = 0 – sin 0; y = 1– cos 0 d'y Find: dx?

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Q: Given: x = 0 – sin 0; y= 1 – cos 0 d'y Find: da?

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Q: sin(x) sin(y)dx + cos(x) cos(y)dy = 0, y (0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: 4th order RK method  yi+1=yi +16k1+2k2+2k3+k4Where ti+1=tn+h          k1=fti,yi,…

Q: How do you solve this?

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Q: dy for y = 3 sin-(x²). J. Find dx

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Q: dy d'y dx ' dx? 2. If y = sin 2x – 2 cos 3x,the find, at x 0

A: The given function isy=sin2x-2cos3xto finddydx, d2ydx2    at x=0

Q: TT (sin x T (1 + cos x) dy dx Jo 0. 0.

A: Evaluate the given integral as follows.

Q: T/2 S cos (x) sin°(x) dx = %3D

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

Q: d Given h(x) = = cos (sin (x)). Find dx

A: Given : hx = cossinx

Q: dy at t = dx? Let x = 3 cos t, y = 4 sin t. Find 4

A: Derivative Question

Q: cos t (y sin t + 1) y' with y5) sin? t = 1

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Q: dy If x = a (0 – sin 0), y= a (1– cos 0), then find dx |

A: Introduction :

Q: dy Solve Y for y=/4×(sin x) cos dx

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Q: 3 sin(y) Let h(y) 2+ cos(y) COS d. Determine dy %3D

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Q: - (2y cosx + sin* x)dx : sin x dy, when x =y= 1 %3D

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Q: d²y Answer: 1 . If x = t + cos t, y = sin t, find dx2 dx2 (1-sin t)

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Q: dy dx if e*y = sin-1y+ x²y + Find

A: Given exy2=sin-1y+xy2+yπ

Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: 3. Find dy for each of the following. dx (b) y = cos²(cot()) tan x (а) у %3D Vx4 + x2+3 (c) y = vx2…

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Q: dy 1-5e + y cot x 5e", with y(z/2) =-4. Cos 7) %3D Ans.: y = dx sin x

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Q: (y? cos x – 3x?y – 2x) dx + (2y sin x- x'+ In y) dy = o

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Q: -. sin x cos? y dx + cos² x dy = 0; if x = and y =

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Q: dy/dx = cos3x/sin2y. Given y=pie/2 when x=pie

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Q: dx Maybe used: sin(x – y) : 1. JTV#² + x + 1 sin a cos y – cos a sin y

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Q: Find for dx y=sin(t) tan(r +1) I'+1

A: Given:   To determine: dydx

Q: dy for y=In (x² +1}+ (sin x +5)*. Find dx

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Q: Find dy and simplify whenever possible. dx sec x+tan x 1. у 3 sec x-tan x 2. у 3 е * соs e * — sin e…

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Q: dy dx sin (a +y) (a is not multiple of x ) sina

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Q: dy of the following. dx A. Find 4. x cos y = sin(x – y)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: x dx-x cos? x dx + (sin x tanx sin y ) dy = 0. %3D

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Q: (y? cos x – sin x)dx + (2y sin x + 2)dy = 0 (Exact)

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Q: I sin(z) cos I) COS(2C (x) dx %3D

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Q: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: cos(xy) + sin(x/y) = 2y find dy/dx at point (pi,1)

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Q: dy If x = 3 sin t and y = 2 cos"t, then find at /= dx Oa0.76 Ob.0.86 OC 0.67 Od.0.56

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Q: sinx b) Find dx if m t2 + 5 dt + cscx + y = x cosx 10 b) Find for sin?x + cos?y = dt xtany t+2 dx

A: b) we know that  ddx∫f(x)g(x)H(t)dt=[H(g(x)g'(x))-H(f(x)f'(x))] we have ∫xsin(x)t2+1dt…

Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

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Q: 7π| A d) S_T/A (sin x + cos x) dx

A: We will evaluate the given integral in the following step.

Q: dx 3. 2y cos x + 4y sin x = sin 2x, given y =0 when x n/3.

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Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)-pi/6. decimal…

A: differential equation

Q: dy dx sin (a+y) (a is not multiple of x ) sina

A: