p = m(1-dt) for d (buisness)

Q: 3. Find (6-+- vē)dt Vy 4. Find S- dy (4-yの?

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Q: Can i get help step by step please

A: Given,

Q: 8. Find the orthogonal trajectories of vy = cx

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Q: 8. Find the orthogonal trajectories of Vy = cx

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Q: t2 + 4t + 10 -dt t3 + 2t² + 5t dy J 3 + 5cosy

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Q: dy 4. dz at z = - 4 if y = 3x² – 1 and dt Find dt dz dt

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Q: Which of these gives an integrating factor for dy 2ty = 3t + 1 dt -

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Q: If  x2 +y2+z2  = 9,dx/dt  =5 , and dy/dt  =4, find dz/dtwhen (x,y,z) =(2, 2,1).

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Q: If x^2 + y^2 = 25 and dx/dt = -2, then what is dy/dt when x =3 and y = -4

A: Given that  x2 + y2 = 25   .... (1) dx/dt = - 2 To find dy/dt when x =3, y = - 4

Q: Find the location and velocity at t = 4 of a particle whose path satisfies dt dr (3t-1/2, 5, 8t) and…

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Q: dz dS 2 If S = z3 and -2 when z = 3, find dt dt

A: Derivative

Q: Suppose that a = x(t) and y = y(t) are both functions of t. If y + xy – 3x = 23, and dy/dt = 1 when…

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Q: Find the general solution of the DE: dx 6- dt2 + 12- - 8x = 0 %3D - dt3 dt

A: Given ODE is d3xdt3-6d2xdt2+12dxdt-8x=0

Q: dy 4. Let ry = 1 and dt da Find when x dt = 2.

A: By using derivative of function

Q: Provide an appropriate response. If xy + x = 12 and dx/dt = -3, then what is dy/dt when x = 2 and y…

A: We will find the value of dy/dt with the help of the given data x=2 ,y=5 and dX/dt=-3 as following.

Q: y? what is dt/dy? 2y +1 if t =

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Q: dy If y = (t + 2t + 5) (7Ł² + 3), find dt dy dt

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Q: dy If y = 2sin 3t then aY is: dt

A: we know that, derivative of a^x = lna * a^x  so from this we will solve the quesiton

Q: Find the general solution of dt z(t) = Az where z = y(t and A =

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Q: Calculate dy/dt using the given information. xy2=4; dx/dt=-5, x=4, y=1

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Q: Find the orthogonal trajectories of the family y = 1 - sec?r + C 4

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Q: Calculate dy/dt using the given information. x^4/3+y^4/3=2; dx/dt=6, x=1, y=1

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Q: dy t² +3 21. Find 9 if y = In dt /1-t,

A: We need to find derivative of given function with respect to t

Q: Find the total differential. z = 2x6y9 dz

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Q: y = tan (5t - 21 +1)

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Q: ]If x' +y +z =9, dx/dt 5, and dy/dt 4, find dz/dt when (x, y,z)=(2,2,1).

A: Topic- application of derivatives

Q: Find F′(x).

A: Consider the provided integral, Fx=∫1x1tdt Find F′(x). First we evaluate the provided integral,…

Q: If y = x - 4x and x = V2r + 1, find dy/dt when t = 1= V2.

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Q: Suppose x(t) and y(t) satisfy da = y? – 1 , dt dy = 2 – 2x. dt - - d (3x2 – 6x 0. + y³ – 3y) = Show…

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Q: Find the value of dr / dt at t = 0 if r = (θ2 + 7)1/3 and θ2t + θ = 1.

A: Consider the provided equation, r=θ2+713 and θ2t+θ=1 Find the value of drdt at t=0. Apply the chain…

Q: Find da d.t da dt at x = 4 if y = 4x² – 1 and > Next Question dy dt = - 5.

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Q: dr = x – y +t dt dy =エ+3y +t+1 dt (20, yo) = (-4, 5)

A: Given that, dxdt=x-y+tdydt=x+3y+t+1 This can be written by, X'=1-113X+tt+1 Now the homogenous eigen…

Q: Find dv if v = t- dt |

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Q: dy = 3 , find dt dx when x = 1 dt x and y are functions of a third variable t. If Væ + Vỹ = 4 and

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Q: Find dy/dt when x=4 and dx/dt=-3, given that x^3+y^3=72

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Q: If x'+y' +z-9, dx/dt = 5, and dy/dt = 4, find dz/dt when (x,y,z) (2,2,1)

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Q: Find dy/dt if y is as follows. t2 + 4 y = In 7 - t dy dt II

A: We use logarithmic properties to simplify the given function and use chain rule to solve this…

Q: dz + et+z = 0 dt

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Q: folve dt? at by diagonalization method

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Q: Calculate dy/dt using the given information. xy+x=12; dx/dt=-3, x=2, y=5

A: To calculate (d y)/(d t). find the slope of tangent line of the given curve by using implicit…

Q: Find the linearization of x = -1 f(x) = 3+ S sec(t – 1)dt at

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Q: Find dy if y = In* +1 7 -t dy dt

A: Derivative is below

Q: dy – 2ty = –31²e? dt - and the condition v(

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Q: ds Find where Vt +s = 2s . %3D dt

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Q: Suppose z x + y Then dz/dt =D

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Q: dy Compute dt t=to X+3 y=x-3x=7 to = 3. dy dt t=to (Simplify your answer.)

A: Solution: The objective is to find dy/dt at t=3

Q: 8. Find the orthogonal trajectories of y cx

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