dx = -18, x 6, y= -3. for 3xy 7x+6y3 = -258, with the conditions Assume x and y are functions of t. Evaluate dt dy dt (Type an exact answer in simplified form.) 히능

Q: dx dy Assume that y = 7x and = 3. Find dt - dt dy (Simplify your answer.) dt

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

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Q: Let y = = 4a?. Find the change in y, Ay when x = 2 and Ax = 0.2 3.2 Find the differential dy when x…

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Q: dx If L = x2 +y? dL when x = 9 and y = 12. dy = 2, -4, find %3D ' dt dt dt dL (Simplify your…

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

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Q: dx dy =1.95. dt Given y = x. Find when y= 3 and %3D - - dt (Simplify your answer.) dt

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Q: dx for 4xy - 5x + 2y3 = - 42, with the conditions dt = - 6, x=2, y= - 2. dt Assume x and y are…

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Q: dx Given dt 1 and y = 6. Find for x2 + y² = 100 dt O A. 3 4 O B. 3 4 3

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Q: Let y = 4x2. Find the change in y, Ay when x = 4 and Ax 0.2 9.96 Find the differential dy when x = 4…

A: solution:-To find change in y,∆yy=f(x)=4x2x=4∆x=0.2∆y=f(x+∆x)-f(x)      =f(4+0.2)-f(4)…

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

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Q: d'y dt? dy - +6y = 21° –t +3 ; y(0)=1, dy -(0) = 2 dt -5 %3| dt

A: At first, we have to find the complete primitive (C.F.) and then we find the particular integral…

Q: Let y = 3x2. Find the change in y, Ay when x = 2 and Ax 0.4 Find the differential dy when x 2 and dx…

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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: dy - 2y = 0, x(0) = 4, y(0) = 0 dt dx --x - 2y = 16te', 2x – dt

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Q: d²y 1 dy y + y(3) = 0.009u, y(10) = 0.003s - dt2 t dt Use an appropriate method to find y(t).

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Q: Find dy/dx if y = J,(1/(1 – )) dt. Explain the main (1/(1 – 2)) dt. Explain the main steps in your…

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Q: dx dy 1. +у%3х, Зу dt dt

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Q: dw (C): If w = tanx and x = 4t³ + t ; Find dt dy

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Q: Can you help me step by step?

A: Differentiate the equation for y with respect to x,

Q: dy dx Given y=x³ - 2× and = 3. Determine the value of dt when X=2. dt

A: Differentiate the equation y=x3-2x with respect to t. y=x3-2xdydt=3x2dxdt-2dxdt=3x2-2dxdt

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

A: As we know that the chain rule: dydx=dydt×dtdx The Power rule: ddxxn=nxn-1 Given: x2+y2=3x+5y…

Q: Let y = (x² + 3)4. Find the differential dy when a = 3 and dæ = 0.5 Find the differential dy when a…

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Q: x² + y2 = 169 (a) Find dy/dt, given x = 5, y = 12, and dx/dt dy/dt = (b) Find dx/dt, given x = 12, y…

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Q: x^2+3y^2+4y=19; dx/dt=7 when x=2 and y=-3; find dy/dt dy/dt= simplify the answer…

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Q: dx Assume that x = x(t) and y = y(t). Let y = x² + 3 and dt Find dy dt dy dt when x = 5. (Simplify…

A: We have to find the derivative

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 2. Given: x y = 2x-3y + 2 and- 3D3 %3D dt dx when x = 2 and y = 1 dt Find:

A: Consider the equation.

Q: dx %-D5 when x= 4. dt ,3 Assume that x x(t) and y y(t). Let y=x +2 and dy when x= 4. Find dt dy…

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Q: Both parts

A: Given

Q: dx dt Please give an exact answer. dy = 2, dt If z³ = x² + y²₁ Provide your answer below: = 1, and…

A: Given problem:-

Q: dy If Vx +Vy=5 and dx - 3. find the value of when X=1 dt dt

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Q: dy for 2xy - 3x+5y = - 30, with the conditions dx Assume x and y are functions of t. Evaluate = -…

A: 2xy-3x+5y3=-30 Differentiating with respect to t, we get…

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: dx Ifz = x + y = -2, dt dy = 3, and z> 0, find dt dz at (x, y) = (4, 0). dt Please give an exact…

A: We know that derivatives power rule is  d(xn)/dx = nxn-1 Here i attached the solution of this…

Q: dy dx Assume x and y are functions of t. Evaluate for 4xy -3x + 5y° = - 210, with the conditions dt…

A: Given: 4xy-3x+5y3=-210 with the condition dxdt=-15, x=5, y=-3 To find: differentiate the given…

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

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Q: dx If z² = x³ + y², = -3, dy dt dt Please give an exact answer. Provide your answer below: - - 2,…

A: Answer is in step 2.

Q: dy Solve the ODE dt = ty(5-y) dy - t y(5– y) dt

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

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Q: dz Find given: dt xe2", x = t°, y = -1+ 6t dz dt Your answer should only involve the variable t

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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: 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: dy dx Suppose x and y are functions of a third variable t. If 2sin(x) + 4cos(y) =3 and dt -3, what…

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Q: d?x dx + 4 + 5x – 10 = 0, when t = 0,x = 0,x = 0 %D | dt2 dt

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Q: - = 2x, – x, dt dx, =-x, +x, +4e' dt

A: integrating, x1= (x1)^2-dx2/dt, replace dx2/dt with -x1+x2+4e^t in above equation…

Q: d'x dt? de - 4x =0 ,x(0) = 1,(0) = 2 di dt

A: Follow the steps.

Q: C. dt² +y" = 0 dy d. xty" + ху" 3 е* e. t2 dt2. t2 ( - t = 1- sint е.

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Q: (b) / 6dt. 2. Find (a) * dt, (c) sin 3t dt, (d) e dt.

A: solution of the given problem is below using integration formula...