Evaluate. (Be sure to check by differentiating!) dx, x -2 4 + 2x dx 4 + 2x (Type an exact answer. Use parentheses to clearly denote the argument of each function.)

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A: we can solve this as follows:

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A: Answer is in below steps.

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A: The solution is given below

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A: Let's find.

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A: Let's find.

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A: A detailed solution is given below.

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A: This is a problem of limit and continuity parts. Please find the solution below.

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A: Answer is in step 2.

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Q: Solve the following and show the complete solution. Find D,f at P: f(x,y) = sin(8x – 5y); P(5,8)); u…

A: Given,            fx,y=sin8x-5y ; P5,8 ; u=35i-45jTo find : The directional derivative, Duf at P.