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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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A: The given integral is

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Q: For the function: f(x) = -x² – 5, f(x) - f(a) x-a

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A: For the given function, to find the points on the graph at which the tangent line is horizontal.

Q: Use partial fractions to find f Select one: O a. S 0b. f = O c. x²+x+3 x + 6x² +9 O e. x²+x+3 x²+6x²…

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Q: Find the maximum and minimum of ?(?, ?) = 5? − 3?, subject to the constraint ?^ 2 + ?^ 2 = 136.

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Q: Calculate the exact slope m (rather than a decimal approximation) of the straight line through the…

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Q: Find the maximum and minimum of ?(?, ?) = 5? − 3?, subject to the constraint?2 + ?2 = 136.

A: The objective of this question is to find the maximum and minimum values of the function f(x, y) =…

Q: Find all values of x​ (if any) where the tangent line to the graph of the function is horizontal.

A: The objective of this question is to find the x-values where the tangent line to the graph of the…

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Q: Which graphs shows the function -10 -15 --00 f(x) = x² + 2x³ - 8x² - 18x - 9, 88 567

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Q: √2 Evaluate the definite integral f (x² - 6) x dx given that » [*1 (20 – 4) de gorta ] -√2 √2 σ -√2…

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Q: Find sin(0), sec(0), and cot(0) if tan(0) = 24 (Use symbolic notation and fractions where needed.)…

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Q: Let h = fog where ƒ : R² → R and g: R² R² is defined by g(x, y) = (3x²y, x – 2y). Find the…

A: Letandfind the derivative

Q: Use the given graph of the function f to answer the following questions.

A: