4. Assume that 2x + 3y = 12 and dy/dt = -2. Find dx/dt.

Q: dx/dt = 2 and y=x^3, what is dy/dt when x=-4,2,6

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Q: find dy>dt.…

A: Find dy>dt dydt>1 dcostdt=-sint

Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

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Q: 37. - dy y. dt

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Q: If y = 2x^2 - 3x and dy/dt = 3, find dx/dt when x=2.

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Q: Can i get help step by step please

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Q: Classify the differential equation as separable or linear (1+2*); dy = 4y dx

A: To classify the differential equation as linear or separable.

Q: If z = +3y, find the differential dz. dz =

A:

Q: 1-dt 3- Ln(t) dt. Q10:- Calculate dx J2x t2

A: Use fundamental  theorem of calculus

Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

A:

Q: Take a look at the derivative of the integral (4t² – 2t + 7) dt. d - dx -4

A: topic - derivative and integration

Q: Write down a differential equation of the form =ay + b whose dy dt solutions all approach y = 6 as…

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Q: dy dt when x = 2. Let xy = 3 and Find dx dt 5.

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Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: Find dy/dt if y = tan^−1 (1 /√t)

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Q: 15 dy dt 2-

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Q: find dx/dt at x=1 if y=3x^2+3 and dy/dt=1

A:

Q: find the values of the derivatives ds/dt at t=0 if s = 2/(4 - t)

A: Given function is Differentiating with respect to t, we get

Q: 5. x- + Px = sin t %3D dt

A:

Q: Find dy/dt when x = 1 if y = x2 + 7x - 5 and dx/dt = 1/3.

A: Given:

Q: Identify the differential equation that produces the slope field below. // ||// // 2.

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Q: Suppose y = square root 2x + 1 where x and y function of t . A) if dx/dt =12 , find dy/dt. When x= 4…

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Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: Let xy = 3 and dy/dt = 4. Find dx/dt when x=2?

A: Given :                xy = 3  , dydt = 4 To find :                      dxdt when x=2

Q: Let xy = 1 and dy/dt = 3. Find dx/dt when x = 1?

A: Consider a function u(x) such that, Now, according to chain rule,  The given information is,

Q: d²x 7x + 3- dt2 dt 2- - t dx

A: 7x+3d2xdt2=2dtdx-t Multiplying both sides by dxdt , we get 7xdxdt+3d2xdt2dxdt=2-tdxdt              1

Q: dy Find at x = dt dx - 1 if y = 2x? – 3 and dt - 2. dy dt ||

A: y = 2x2 - 3dxdt = -2dydt = ?   at x=-1

Q: Find dy/dx implicitly exy+x2−y2=19

A:

Q: 5) If y = x³ + 2.x and dx/dt = 5, find dy/dt when x = 2.

A: Q.5) If y=x3+2x and dxdt=5 Find: dydt when x=2

Q: tan st e dt 2

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

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

A: Given:-y=5x2+3dxdt=2 at x=3To find : dydt

Q: Can i get help step by step please

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Q: If 3xy+x^2=7 and dy/dt=-16, find dx/dt when x=1

A: Derivative, in mathematics the rate of change of a function with respect to a variable. Derivatives…

Q: Find the indicated derivative. dy dt - for y = (2.2t - 4t?)(2t + 1.9) dt 11

A: We have to find dy/dt for Given function.

Q: If x ^2+ y^2=100 and dy/dt= 4 , find dx/dt when y =6

A: Solving the problem by method of differentiation.

Q: Suppose 4x + 9y - 25, where x and y are functions of t. (a) If dy/dt-, find dx/dt when x = 2 and y =…

A: Given: 4x2+9y2=25 Since, x and y are functions of t, therefore differentiating each sides with…

Q: Solve drc dt dy dt 200 +

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Q: Assume that 2x + 3y = 12 and dy/dt = -2. Find dx/dt.

A: Assume,

Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

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Q: b) Find if e Vt2 +5 dt + siny = x- xcosy rsinx ycscx

A: According to Leibniz' rule:

Q: Calculate cln 2 I = Ver – 1 dx thanks to the change of variable u Ver – 1. U = -

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Q: Find dx dt dx dt at x = = 2 if y= 2x² - 1 and dy dt - 3.

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Q: What is the integrating factor for the linear differential equation xy' – 2y = x?

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

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Q: What is the slope field of a differential equation y' = ƒ(x, y)? What can we learn from such fields?

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Q: If x3 + y3 = 9 and dx/dt = -3, then what is dy/dt when x = 1 and y = 2?

A: Given,

Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation

Q: Find at x = -2 if y = - 4x² + 3 and dy dt dy dt = dx dt - 1.

A: Topic = Derivative As per guidelines , at a time only one question can be answered. pleas repost for…

Q: Can i get help step by step please

A:

Q: If you have the equation dx/dt = a,are you allowed to multiply both sides by dt to change the…

A: We have given,