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

Q: d²y If y=cos 4xr, then at x = 0 dx?

A: Given,     y=cos4x

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

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Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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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: Find dy/dx for the following functions i)x=3 cos t-2cos3t ii)y=3 sin t -2 sin3t

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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 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: Given: x = sin(nt) and y = cos(nt); dy Find dx d²y Find dx2

A: We have to find the derivative

Q: Find dy/dx for the following functions i)x=3 cos t-2cos3t ii)y=3 sin t-2 sin3t

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Q: Given dy find 36 Cos 6x y' dx sin 6x + c 6 sin 6x + c O-6 sin 6x O-36 sin 6x

A: here option a is true.

Q: 4- Find dy/dx for: a- y = sec?x – tan?x b- y = sec³ ( – x) %3D c- y = sin(tan(3x)) d- y = /1+ sin³…

A: NOTE- Since questions 1, 2, 3, 5 and 6 are incomplete, so solving question 4 only. Please submit the…

Q: dy at the value of the parameter. dx Find X = 4 cos(2ns), y = 3 sin(2ns), s = - 1/4

A: Given query is to find the value of dy/dx at s =-1/4.

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

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Q: dz Find dy x? sin(2y – 5z) =1+y cos(6za)

A: The given equation is: x2sin(2y-5z)=1+ycos(6zx) To find ∂z∂y, differentiate above equation w.r.t. y…

Q: d²y Given that y = -4x cos 2x +4 sin 2x, find dx² at x = 2

A: Given: y=-4xcos2x+4xsin2x

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

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

Q: d'y Given that x= sec 0 and y= 2 tan 0. Find dx?

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Q: dx. (a) [ cosʻ x+4 sin x (i) Evaluate Using the substitution ttanx

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Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint…

Q: a. The velocity of a car in meters per seconds travelled from its origin is given by v(t) = In (t2 +…

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Q: Find the value of dʻy/dx at the point defined by the given value of t. x = 5 sin t, y = 5 cos t, t=…

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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: If x = t +cos t, y= sin t, find d^2/dx^2

A: Given that      x=t+cost , y=sint  Here we have to find d2y/dx2 .

Q: Given z = 9t - 36 and y = 81 sin t dy (i) 9*cos(t) dx dy (ii) da? -9*sin(t)

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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: The appropriate change of variables for the dx is Vx²-4 x=2 cosØ O x=2 sec Ø O x=2tan Ø O x=2 sineØ

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Q: Find dy/dx of y=sin-!x+cos-4 dy/dx is Blank 1. Blank 1 Add your answer

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Q: Find by definition for the following : dx 1. y = (2x² + 1) 2. y = cosx 3. y = sin?x

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Q: Given x = sin3t, y = -cos3t, then find at t =. %3D dx а. 1 b. 3 с. О d. 2

A: We need to find dy/dx.

Q: 2T -TT Evaluate: S. (sin x + cos y)dx dy II SII 71I

A: Let give integral is equal to I

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

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Q: d²y for 15 = cos x Find dx? cos x + a°y?

A: We need to find d2ydx2 for 15=cos x+x3y2. Let us differentiate both sides.                    0=-sin…

Q: r(t) = (4 sint- 4t cos t,4 cos t+ 4t sin t), for 0sts, 2

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Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

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

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Q: dy 3. given, y = sin[2tan-V then find 1+ dx

A: Given function is y=sin2tan-11-x1+x

Q: 4. Find d?y/dx² for the following functions: a) y = sin x² cos 2x b) y = cos*(sec² 3x) c) y = x²(x³…

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

A: To evaluate the below integral. ∫0π/2∫0πsinx+ydx dy

Q: I d²u dv² tan v sec“ V

A: Find your answer below

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

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Q: Find the solution where y= 1 and dy/dx = 0 when x =0 and describe the behaviour of the solution for…

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

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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: Find the clerivative of Y. a) y = Sin3x t cos3 x %3D b) y = tan? (x³) c) y=4 sec (5x)

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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

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