dy Find - given that dt dx x + y? = 3x + 5y, x = 4 y = 1, and 9. dt dy dt II

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: dx + dx dy e; dy = x +y Use elimination to solve: dt dt dt dt

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Q: dy dx ; x = 0, y = 1 , t= 0 dt dt 2) x = t2 + t y = t2 -t -00 <t < 00 %3D fall

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Q: dx x2+y?, dt dy 2, find dt dL when x = dt If L = V -5, and 7 and y = 6. dL dt

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Q: Given x= 2y? , evaluate dx dy at y = 1 and dt dt 3.

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Q: e-Using dy dx dt + Зу -5х —е t — dt dy +x+y- 3 = 0 dx dt dt

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Q: dx Assume that x = x(t) and y = y(t). Let y = x³ +5 and dt Find dy dt dt when x = 3. (Simplify your…

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

A: Topic - approximation Using derivatives

Q: (a) Find dy/dt, given x = 1 and dx/dt = 8. dy/dt = (b) Find dx/dt, given x = 36 and dy/dt = 3. dx/dt…

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Q: at (x, y) = (1, 2) and z? = x2 + y² if dt dx = 4 and dt dy = 3. dt dz %3D %3D Find dz dt II

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Q: Find  dy/dt  using the given values. y = x3 − 2x for x = 4, dx/dt = 1. dy dt =

A: The objective is to find dy/dt.

Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt dy/dt = (b) Find dx/dt when x = 7, given…

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Q: 1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3 dy - y = 0 dx + x + 4y dt — 10%; х - | dt

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Q: . We are given r'y-5x+24y 6/ỹ, where x and y are both functions of t. If dx = 2, x= 1, and y=9, what…

A: Given query is to find indicated derivative.

Q: da dy 3x? – 1 and dt Find at z = 1 if y = at x = -5. dt da dt

A: topic - derivative of a function

Q: dx dy + y = x , dt = 3y dt dx dy 1.

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Q: dx dy 1. +у%3х, Зу dt dt

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Q: 2. Assume w=xy* , where x and y are functions of t. dw Find dt dx =2, when x=3, dt dy - 4, and y=1…

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Q: da at I = dt dy dt - 5 if y = 5x? +1 and 5. Find da dt Submit Question

A: We have given  y=-5x2+1 dydx=ddx-5x2+1 dydx=-5ddxx2+ddx1 dydx=-5×2x+0 dydx=-10x  ..........(i) Given…

Q: dy ey-x sec y (1 + x²) У (0) 3 0 dx ||

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Q: d Evaluate In(et – t²)dt. Briefly explain your answer. dx '1

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Q: dx Let y = 0.75a? + 4.25 and dt 0.6. dy Find when x = 3. dt

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Q: 1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3 dy dx + x + 4y = 10; æ dt - y = 0 dt

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Q: da dy at z = – 5 if y = 3x2 – 3 and - 1. Find at x = %3D - dt dt dx %3D dt ||

A: given y=3x2-3 ........(1)

Q: dx/dt = t+x t> 0, The general solution of x(t) = where is %3D

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Q: dx dy 1. " + y = x , dt = 3y dt |

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Q: dy Find -given that dt dx x2 + y? = 2x + 4y, x = 3 y = 1, and 7 dt dy dt

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Q: Find - given that dt dx x? + y? = 2x + 4y, x = 3 y = 1, and dt 11 dy i dt II

A: Given problem is :

Q: dy using the given information. Calculate dt dx xy +x = 12; dt =-3, x= 2, y= 5 %3D O A. 3 О В. -9…

A: The equation is given by xy+x = 12 ; dxdt =-3, x = 2,y= 5 To evaluate : The value of dydt

Q: dy If y = 4x3 + 5x and dX dt 2, find Y when x = 3. dt dy dt

A: We have, y = 4x3 +5x dxdt = 2

Q: dx dy dy Find and dt' dt dx x = 3t – 3ln(t), y = 4t2 – 4t-2 dx dt dt dr

A: Given x=3t-3lnt        y= 4t2-4t-2

Q: dx T2 +2 and dt dy 2. Find at I = 2 if y = dt dy dt

A: Solve for dy/dt at x=2

Q: Find the general solution for y(t) where; dy а. dt + 6t?y = 2t? dy b. + 10y = 0 dt

A: The given question has been solved in detail

Q: Question 1

A: Consider the equation  Given Find  at

Q: E. Find , and in terms of dx dt' dt 1. x = t°- 1 2. x = 4t + 3 y = 3t – 2 y = 4 - t

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

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Q: x? + y? = = 169 (a) Find dy/dt, given x = 5, y = 12, and dx/dt = 7. dy/dt = (b) Find dx/dt, given x…

A: We will find the derivatives and value at a point.

Q: Find given that dt x² + y² = 2x+4y, x = 3 y = 1, and dy dt i dx dt

A: SOLUTION-

Q: dy Find - given that dt dx x2 + y? = 2x + 4y, x = 3 y = 1, and 7 dt dy i dt

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Q: y=√x Find dy/dt, given x = 4 and dx/dt = 3 Find dx/dt, given x = 49 and dy/dt = 8

A: We have to find dydt given x = 4 and dxdt= 3 Find dxdt, given x = 49 and dydt = 8

Q: Find dy/dt using the given values. y = x3 − 2x or x = 5, dx/dt = 3   dy/dt=

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Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

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Q: dx (b) (t– 2) – x = (t – 2)' , x(4)=10 dt dx (c) +5x -t = e" , x(0)= dt

A: Here we have to solve given initial value problem b and c.

Q: O1f y= x 4x and x = Vzr?+I, find dy /dt when t r2. %3D

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Q: xy = 2 (a) Find dy/dt, when x = 8, given that dx/dt = 14. (b) Find dx/dt, when x = 1, given that…

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Q: 9. dx/dt = −(x − y)(6 — x − y), dy/dt=x(4+y)

A: Given that, dxdt=-x-y6-x-ydydt=x4+y We have to determine all critical points of the system of…

Q: dx Given y= e-2x? dy when X = 1 and dt 2. Determine the value of dt

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Q: Assume x and y are both differentiable and functions of t. dy when x dt dx = 3? dt If y = x², what…

A: Explanation of the answer is as follows

Q: Find the general solution to the following equations. dx dy 1. + y = x , = 3y dt dt

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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