Use partial derivatives to find dy if y is defined implicitly as a function of x by the equation r2 – 2xy+y4 = 4. Write the dz expression in terms of and y.

Q: y = xe2x

A: We can find the third derivative as below

Q: Select all of the following equations for which y is a function of x. Ox + 3y = 3 Oa = y' + 3y O2? +…

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Q: Let f(x) = x'. Find the slope of the line through the points on the curve y = f(x) where x = -2 and…

A: Let fx=x3. We have to find the slope of the line through the points on the curve y=f(x) where x1=-2…

Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: Determine the differential of y for the function y=3ln(4x2).  Simplify fully.

A: To Determine: Differential of y

Q: Find y as a function of x if x²y" +5xy - 12y = x², y(1) = −9, y(1) = 9. y=

A: We have to find as a function of .

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: Find yy as a function of xx if y′′′−8y′′−y′+8y=0 y(0)=4,  y′(0)=−6,  y′′(0)=130.

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Q: Use the product rule to find the derivative of the following.:y = (2x - 5)2

A: we have to use the product rule to find the derivative of the given function. y = (2x - 5)2…

Q: Assume that the function y is defined implicitly as a function of x by the given equation. Use the…

A: Simply take the derivative of the given equation and simplify.

Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

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Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that…

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