1) (i) Find the domain and the range of 2 =√16-2x² z=f(x, y) = 4². Describe the domain. y (ii) Compute the equation for the generic level curve for k in the range of f.

Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

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Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: Determine the slope of 3(x² +y´) = 100xy at the point (3,1)

A: The given function is 3x2+y2=100xy. Evaluate the slope dydx by implicit differentiation as follows.…

Q: Find the domain and range of y=f(x)

A: To find the domain and range of y=fx

Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

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Q: Find the value of x between the points  ( − 3, 2) and (x, 6) with slope 2/5.

A: We use the slope formula to find the slope between (-3,2) and (x,6)

Q: Find the slope of f(x)=2(2x+3) O at (-1,0)

A: Introduction: When given an equation that is not a line, first find the derivative of the curve.…

Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

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Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…

Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

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