suppose y = √(3x + 1), where x and y are both functions of t. If dx/dt = 2, find dy/dt when x=5

Q: If dy dt y. 1 - et and y = 0 when t = 1 find

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Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dt…

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Q: If x2 + y2 = 100 and dy/dt = 8, find dx/dt when y = 6. (Enter your answers as a comma-separated…

A: Consider the given: x2+y2=100 Differentiate w.r.t. "t",…

Q: use Separation of Variables to find the general solution. dx/dt= (t + 1)(x2 + 1)

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Q: 3. If 2 = x² – x* + 6x – 5, then dty evaluated at x = 1 is dx4 dx (А) 8 (B) 36 (C) 96 (D) 120

A: To calculate the nth derivative of function y, differentiate y four times with respect to…

Q: Suppose y = (x + 1)5, and both a and y are functions of t. If. dy :1, find dt dx when x = = 1. |3D…

A: Given data:   The given function is y=(x+1)5. The first value given is dy/dt=1. The given value of x…

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Find dx/dt given that 4x^2+9y^2=13x  x=1,  y=-1 and dy/dt = 10

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Q: Find dy/dt if y=ln(t^2+1)/(squareroot of (4-t)

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Q: If t = x + ex, find d2x/dt2 given dx/dt = 1 / 1+ex.

A: dcdt=0 , where , 'c' is any constant. dexdt=ex .dxdt

Q: --——-^*[e'-In(2t+1)]dt, find g'(x) . dx 4 A e*+ (2x + 1)² 4 B et + (2x + 1)² 2 (C) e*- - (2x + 1)²…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: If L = √(x2 + y2), dx/dt = -1, and dy/dt = 3, find dL/dt whenx = 5 and y = 12.

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Q: Find d2x/dt? as a function of x if d 6x sin x. dt? ||

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Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4. dy…

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Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x = 4. dy…

A: Consider  y=2x+1 where x and y are function of t.

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: Suppose  y =    2x + 1,  where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x =…

A: Ans- (a)=30, (b)=1 .....detailed solution I have done ...hope you will get it easily...thanks

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

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Q: Suppose 4x2 + 16y2 = 100, where x and y are functions of t. dy (а) If dt 1 dx find when x = 3 and y…

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Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt = 4. dy/dt = (b) Find dx/dt when x = 9,…

A: First we will derivative with respect to t then find both value

Q: Find  dy/dt  using the given values. y = x3 − 9X for x = 3,   dx/dt = 2. dy dt =

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Q: If g (x): A d dx [e' — In(2t+1)]dt, find g''(x) - -2 4 (2x + 1)² 4 B (2x+1)² Ⓒe*-In(2x+1) 2 D (2x +…

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Q: if xy+x=12 and dx/dt=-3, then what is dy/dt when x=2 and y=5?

A: Given :xy +x = 12

Q: If L = 2x2 + y2, dx/dt = -1, and dy/dt = 3, find dL/dt when x = 5 and y = 1

A: Consider the provided equation and information,

Q: Suppose 4x + 9y² = 36, where x and y are functions of t. (a) If dy/dt =, find dx/dt when x = 2 and y…

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Q: (b) If dy/dt = 2, find dx/dt when x = dx dt

A: By differentiating we solve the function

Q: Given the function y = x* e* , find dty dx for x = -1. %3D

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Q: Suppose 4x? + 9y² = 36, where x and y are functions of t. If = 1/3, find dx/dt when x = 2 and dt y =…

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Q: Suppose y = V 2x + 1, where x and y are functions of t. %3D (a) If dx/dt = 9, find dy/dt when x = 4.…

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Q: Compute the derivative: d I/ In(t° + 1) dt dx

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Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt dy dt 15, find dy/dt when x =…

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Q: Use the method of first principles to show that d/dt(lnt)=1/t

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Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: Find dy/dt using the given values. y = x3 - 5x for x = 3, dx/dt = 4. dy dt

A: Value of dy/dt= 88 See the calculation below

Q: *show work*

A: Find dy/dt.

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: a) If d'r = 3, when t = 0 we have dt? dx 0 and x=0, what is x as a function of dt t?

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

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Q: Suppose y = (sq. root of) 2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt…

A: y=2x+1 Differentiating with respect to t, we get dydt=122x+1·d2x+1dt…

Q: If y = x2 and dx/dt = 3, then what is dy/dt when x = -1?

A: Differentiate both sides with respect to t.

Q: Suppose y = /2x + 1 , where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4. (b)…

A: Differentiating with respect to t, we get

Q: Assume that all variables are the functions of t. If 3y2-2x2+4y=2x and dy/dt =4 when x-9 and y=12.…

A: Given,  3y2-2x2+4y = 2x   and dydt= 4  when x = 9  and y = 12  Then, we have to find the value dxdt…

Q: Find dx/dt when y=2 and dy/dt=3,given that x^3=9y^3-64

A: Find dx/dt when y=2 and dy/dt = 3, given that x^3 = 9y^3 – 64.

Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dy…

A: we will diferenciate the equation of y with respect to t, and solve this.

Q: d If g(x) == _S^*[e' − In(2t+1)]dt, find g ''(x) . - dx -2 2 A (2x + 1)² 4 B (2x + 1)² 4 (2x+1)2…

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Q: If x^2+y^2=25 and dx/dt=6, find dy/dt when y is positive and (a) x=0: x=1 x=4

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Q: Can i get help step by step please

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.