Given that y = 2x³, calculate the points (x, y) when : = 24. dx

Q: Given that y =5u'+4u and x 1 hence find dy dx

A: Differentiation problem

Q: dy at the point (1,2). dx If x + xy + y =7, find the value of

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Q: dy 4. a2+ y? = ry (Bernoulli DE) dx

A: Answer and explanation is given below..

Q: y= lux of yoe Find DfR.

A: Explanation of the solution is given below...

Q: Determine dx dy in terms of x and y for the equation x + xy? – y = 3.

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Q: Find dy/dx in terms of a and y if x?y – x - 4y – 10 = 0. dy dx

A: To find the derivative w.r.t x using implicit differentiation.

Q: Find dy/dx in terms of x and y if x8 + y? = V10. %3D dy dx ||

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Q: Find for x2 +y? = 169 at the point dx %3D (-5, 12).

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Q: If xy – x³ y = 2, find at the point (1,1 dx

A: We have to find

Q: 3 y = (₁ ² +1) ² Gi Find 13y dx²

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Q: Find df / dx and ðf / dy. f(x,y) = e(x + y + 8)

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Q: Find dy/dx in terms of x and y if ax' – by = c°. Assume that a, b and c are constants.

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Q: Find dx by differentiating implicitly. When applicable, express the result in terms of x and y. 7x…

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Q: dx

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Q: Show that -a²x² dx = VT/2a, a > 0, I = e by noting that I = -a²(x²+y³), dx dy -a²r², r dr d0. e

A: We need to show thatI=∫0∞e-a2x2dx=π2a,      a>0

Q: Given æ = 36t + 19 and y = 108t² + 133 dx (i) dt dy (ii) dt dy (iii) dx || || ||

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: x? 3xy +y?=19 what s the dy at point

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: M(x,y) + N(x,y)*dy/dx = 0 ? is it Exact Equation?

A: Consider the equationMx,y+Nx,y×dydx=0provided that there exists a function ψ(x,y) such that∂ψ∂x=Mx,y…

Q: dy if y = 53*, than dx %3D

A: To find dydx for y=53x Let u=3x then y=5u So, y is a function of u, and u is a function of x. So to…

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: Find d?y/dx? implicitly in terms of x and y. x?y - 3x = 8 dx2

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Q: Find dy/dx for this equation, 384=(x+2)3/4(y+3)1/3.

A: We have , 384=(x+2)3/4(y+3)1/3 Cubing both sides

Q: Find dy/dx in terms of æ and y if V = 10,/ỹ. dy dr

A: The given function is:x5=10y

Q: L V9 – x² dx

A: Given,          ∫039-x2dx

Q: Find​ dy/dx by differentiating implicitly. When​ applicable, express the result in terms of x and y.…

A: Given : 5x+7y=3

Q: Given y − x cos y = 7, find dy dx

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Q: 17. y dx — (х + бу?) dy %3D 0

A: Given ydx-x+6y2dy=0          (i) To determine the solution of the given differential equation.

Q: dy/dx + x®y = x®y?

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Q: For a given table 2 4 6. 8 y 9. 16 23 d'y Find the value of at x = 4 using forward difference…

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Q: S Si e** (y + 6x²y)dxdy =?

A: According to the given information it is required calculate the integral

Q: Solve the equation dy y° – y, - dx? dy giving that dx 0 when y = 1 and y = 2 when x = V2. %3D

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Q: If xey = yex, find dy/dx and d2y/dx2 for y = 1.

A: Given: xey=yex for finding dydx at y=1, we differentiate given expression with respect to x so,…

Q: dy If y = 2cscx then equals to : dx

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Q: Given z = 1le lle*y® , find 10 dz dz dy

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Q: dy if y%32? — у? 39, then dx ||

A: Given y = x2 - y2 = 9   , we have to find dydx    So y = 9  and x2 - y2 = 9

Q: Find y dx2 in terms of x and y. y7 = x° dy dx?

A: Remark: we know that  d/dx (xn ) = n xn-1 , where n is any integer except -1.

Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: or the equation, find dy/dx evaluated at the given values. y2 = 8x − 7  at  x = 1, y = −1   dy dx=…

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Q: If x^(1/3) + y^(1/3) = 4, find d2y/dx2 at the point (8, 8).

A: Applying derivative for the given equation with respect to x:

Q: Find , given y = 5² 6n² a dy dx

A: ddx(5x6ln2(x))We know that…

Q: Find d'y/dx? given x= t² – 3, y = 2t – 1

A: First I have find the derivative of x and y with respect to t and then calculate the required…

Q: Given y=ae" +Be where a and B are constants. Show that d'y Ay. dx

A: Given that: y=αe2x+βe-2x…

Q: (b) Given that, V2x + 1 and y = 1, when x = 12. Express y in terms of x. %3D dx

A: Topic :- Differential equation

Q: Given the IVP dy + 4y = x - 2, y(1) = 0, dx the value of y(2) is closest to

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Q: If x+y = 63, find the value of dy at the point (-1,4). %3D dx2 The value of at the point (-1,4) is|:

A: Given, x3 +y3 = 63  We have to find the value of d2ydx2 at the point -1, 4.

Q: d'y dy - -2xe dx dx

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Q: dy If = (y – 4) sec? r and y (0) = 5, then y dx

A: Solution: The objective is to find the general solution to the given differential equation

Q: Find the general solution, using separation of variables: dy dx

A: The given differential equation is  dydx=e-y-x

Q: Use the Trapezoidal Rule with n = 4 to estimate f, x² dx. Compare the estimate with the exact value.

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Q: d’Y 2) Find dx? X = et et Y = et + t?

A: we have to find the second order derivative