Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of the given functions. Determine the open intervals on which the function is increasing or decreasing. (7) a) y = x - x b) y = 2-x

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A: As per the guidelines I can solve only first question 

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A: To determine the form of reduced augmented matrix when the system has a unique solution.

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A: We have to choose the correct option according to the given information

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A: integration by substitution method 

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A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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A: Using partial fraction. 

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Q: 2. Find the vertical asymptote/s of 7.x f(r) : %3D x2 - 3r- 28'

A: Here we have to find the vertical asymptote of the function f(x)=7xx2-3x-28

Q: CHAIN RULE DERIVATIVES 5.).968)= (7-6W)" %3D 6. 120° (70 +2)" 7) g(x) = 13 bc 5o+ 4c+ 9 }

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Q: C. Optimization 1. Use the first derivative test to determine the relative extrema of the following ...

A: The given function f(x)=x2x-22

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A: Solved below

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A: As per our guidelines we only solve one question and rest of the question will be reposted.

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A: Note: According to our answering guidelines we have to answer only one question if multiple are post...

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A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

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A: topic - trigonometric identities

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A: A detailed solution is given below

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A: ∫10xcos 10xdx Substitute 10x=u⇒10xln 10 dx=du⇒10xdx=1ln 10du =∫1ln 10ducos u=1ln 10∫sec u du=1ln 10l...