Find the coordinates (x,y) of the given angles. 1. 10n 4. 45* 5. 270 3. - Sm 6. 330°

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A: We will prove the limit using definition.

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A: Given

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A: Function table values are given, we have to find the limit using table values.

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A: We need to find Parametric equation.

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A: Log

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A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution…

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A: To find gradient of the function at the given point.

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Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

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A: Use the basic properties of integration.

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Q: 3. f(x) = A. x = 0 B. x = 1

A: We know that a function is continuous at x=a if limx→a-f(x)=limx→a+f(x) =f(a) The function f is…

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2r sinh(r – 1) +2 – r %3D has a critical number…

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A: A detailed solution is given below

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A: We can solve the given problem as follows:

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A: answer is in next step

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A: Explained below

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