Find the equation of the tangent line to the graph of the given function at the point with the indicated x-coordinate. f(x) = x +=; x = 2 y = Sketch the curve together with the appropriate tangent line. y y 10 10 X X - 10 -5 10 - 10 -5 10 -5 - 10 - 10| y y 10 10- 5 - 10 -5 10 - 10 10 - 10|| - 10

Q: Determine which of the following equations defines y as a function of x. (a) x-y = 16 (b) x-2y = 8

A: x-y2=16 On simplification, we get ⇒y2=x-16⇒y=±x-16 Clearly for each value of x, there are two values…

Q: Find the slope of the line tangent to the graph of the function at the given value of x. y = x4 +…

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Q: Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

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Q: Find the point on the graph of f(x)=(x+1)2 that is closest to the point (-5, 1). Round to three…

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Q: What does it mean for a function to be defined implicitly by an equation?

A: An implicitly defined function is a function that is presented as the solution of some equation or…

Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: Determine whether the equation or table defines y as a function of x y + 1/y = x + 1/x

A: