The equation sin(πxy/3)+x=3y implicitly defines y as a single function of x at (and near) the point (3,1). Use the linearization of this implicitly defined function at (3,1) to approximate the value of y when x=3.14. Round your answer to three decimal places.

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −x2+3x−5=2y2 −2y

A: We have to find derivative (implicitly ) with respect to x .Curve equation is given by:

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: See the attachment

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3 +2x2 y 5 =1

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A: Please refer the attached solution. None of the option is correct here . I have solved it…

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A: difrentiate equation with respect to t and plug all the information.

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A: Let's find.

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A: We have to find the derivative.

Q: (d) Suppose that y(x) is a function and that y(2) = 1. Let y² + y = x. Using implicit differentian…

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Q: Can you help me step by step?

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3 +2x2 y 5=1

A: Differentiate the given equation with respect to x.

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x4-3xy2=2

A: We have to find dy/dx of curve equation .Curve equation is given by:

Q: 6) Find dy , where is defined as a function of implicitly by the equation below. dx y + 2x²y³ = 1

A: Given function, y3+2x2y5=1

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A: This question can be solved using the concept of equation of tangent to a curve at a given point.

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −x 4− 5y4 =11

A: We have to find dy/dx of curve equation (implicitly).Curve equation is given by:

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Q: 8. Consider the curve given implicitly by -x2 + 3xy+2y² = 2 y. 8.1. Verify that (1, –1) lies on the…

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Q: Solve the following initial value problem for y as a function of x. dy X- 3Dx? -9, х23, у(3)%3D0

A: By using integration formulas

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Q: (d) Suppose that y(x) is a function and that y(2) = 1. Let y² + y = x. Using implicit differentian…

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −4x2 −3x−1=y2 −y

A: The given function is,

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x3+y4=3

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Q: find the directions in which the functions increase and decrease most rapidly at P0 . Then find the…

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A: Using formula of equation of tangent line.

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