dy 1; find dt dx at x =- dt Related Rates: Given y = cOs x + sin and 4

Q: Find dy/dt using the given values  xy = 5 for x = 10, dx/dt = −2

A: Given,xy = 5  ,  for x = 10 , dxdt=-2

Q: 1. Suppose y = f(x) and that x is changing over time. How is dy/dt related to dx/dt?

A: Given that: y=f(x)

Q: Please show all work

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Q: dy = 4. Find dt dx when x = 5. dt Suppose that a point is moving along the path xy = 5 so that

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Q: If x= sint and y = cost then 2 dx dy dt dt O 2 O -1 O 1 O O O None of these

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Q: dy Find dx x/3 S sin (P)at y = dy dx

A: Leibniz rule:

Q: dx at x = 3 if y = – 2x² + 5 and dt dy = – 5. dt Find - dx dt Submit Question

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Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

Q: dy sin 5x dx dx + e* dy = 0

A: First we integration both sides and solve it . Follow 2nd step.

Q: -1 dy find dx If y = %3D (1-VE)

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Q: If x =t-1+5 and y 6+t-2 then dy at t = dx is

A: topic - derivatives answer is 4

Q: dy 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and %3D

A: As we know that; The Power Law: ddxxn=nxn-1 From the given problem: y=x3-2x ; dydt=3 First, we have…

Q: 9. Sinte)e x(t² + 1)dt = x ,(t² + 1)dt S' 2* dx < S, xdx 10. dx = dx + dx 11.

A: 9.∫ln(e)0ln(e)ex(t2+1)dt=x∫0e(t2+1)dt10.∫012xdx≤∫01x dx11.∫131xdx=∫151xdx+∫531xdx

Q: dy dx 1+ey

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Q: If y = In(x² + 5) + sinx function then ay at x = 0 is ? dx 11 10 1 10 O 1 O 5

A: Given, y=lnx2+5+sinx  We have to find  dydx at  x =0

Q: Find dx/dt: x = 2[cos (t/2)]^2

A: x=2cost22

Q: dy dt 1 if 2y°t + t°y = 3 and dx Find dx cos t dy dx

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Q: dy Find dx S cos (1)dt y = dy dx II

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Q: If Y= e(sin x) dt apoint X = 2 then dy/dx

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Q: (d) Ln 8(t – 2) sin at dt (h) 0 ex-1) cos 4 (x – 5)8(2x – 3) dx

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Q: d²x dx + sinx=0 +2. dt for small excursion about x = T/4. 1. Linearize dt

A: d2xdt2+2dxdt+sin x = 0 - (i)here, the above given equation is homogeneous (RHS=0) but non-lineardue…

Q: dy = 3. dt dx at x = 4 if y = - 2x² + 5 and dt Find dx dt

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Q: (b) x²e3 dx (d) arctan 4t dt

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Q: dz Find dt if z = x²y – sin y, x = vt? +1 and y = e -

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Q: dx +4x = 2e 3 , x(0)= 5 dt (d) dx +4x = sin 2t , x(0)= 0 dt (e)

A: Laplace transferom, solve the differential equation by using Laplace transferom

Q: 87. Find the value of dy/dt at t = 0 if y = 3 sin 2x and x = t+pai

A: Given, y=3sin2x,  x=t+π y=3sin2t+2π we know, sinA+B=sinAcosB+cosAsinB sin2t+2π=sin2tcos2π+0=sin2t…

Q: -If x= cot- VE, y = ;, find dy dx'dx2 at t = 2.

A: We will use the formula (f(g(x))' = f'(g(x))g'(x)uv' = vu'-uv'v2 Given x = cot-1ty = 1t+1 Then dxdt…

Q: 13. Find dx/ dt and at di/a dx in terms of x when x'6t=18 x'6t= 18

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Q: H. \ || 20 s s sec (cosx) dy dx siny 3y steb e dx dy >+

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

Q: A point is moving along the graph of a given function such that dx/dt is 6 centimeters per second.…

A: Given Take derivative with respect to t, derivative of y is dy/dt  and derivative of x is dx/dt

Q: dy Find dx x2 y = dt dy dx (Type an exact answer in terms of e.)

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Q: Find dx 2n S sin (P) at (?)dt y=

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Q: dy (1 + æ)* Find for y dx Ans=

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Q: d 2x Le arctan t dt dx

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Q: Question 1

A: Consider the equation  Given Find  at

Q: (B.) L ( ³x ++ -cost} { +4- dt 3 dx dt Where: x(0) = x '(o)=6 and x" (0) = 2

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Q: E valuate dt + seck tan x dX

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Q: dx(t) If the PSD of X(t) is Sry(0). Find the PSD of - dt

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Q: dy 2. Find dt dx Suppose that a point is moving along the path xy 5 so that dt when x = 4. dx %3D dt

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Q: with x=sec t and y=e". Then the value of dz evaluated at dt If z=tan In t= 0 is equal to (Correct to…

A: Given function z=tanln4x2y with x=sect and y=e2t Substitute the x=sect and y=e2t in the given…

Q: related rates - find dy/dt where xy=10 and dx/dt = 02 and x = 5.

A: To find the rate of change of y with respect to t, under the given conditions.

Q: If x2 + y2 = 100 and dy/dt = 8, find dx/dt when y = 6.

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Q: Suppose xy=−4 and dy/dt=1. Find dx/dt when x=-1.

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Q: dy if y = cos(ln x). dx Find dy dx

A: Given :   y = cos ( ln x)  now we find dy/dx

Q: 4 cos x Let y = [, (2t + 1) (t + 8t)'/3 dt. Find dy/dx.

A: We will find out the required derivative for given function.

Q: (). dy 11 if y = sin-1 d.x Find dy = dx

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Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated…

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Q: 3 dy Find dx if y = cos vx + 4sin x – log 3(3x + 1)ž. إضافة ملف

A: We will solve the following

Q: dy dt 1 Find dx if 2y°t + t°y = 4 and d.x Cos t

A: