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Q: Show that if x, y are rational numbers, then x + y and xy are rational numbers.

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Q: Please show work. This is my calculus 3 hw.

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Q: Use a polar coordinate system to plot the point with the given polar coordinates. Then find another…

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Q: What is the dimension of W = {p(x) E P3(R) : p(x) – xp' (x) = 1} %3D I|

A: This is not a subspace Because p(x) = 0 not belongs to W. As p(x) = 0 then p'(x) = 0 so that p(x) -…

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Q: af Find and ду f(x, y) = y +1 x+y

A: Explanation of the solution is given below....

Q: esirq) . cos(q) dq 5x/2

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Q: coshz analytic

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A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: State and prove the intermediate value theorem.

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Q: 1. Let S be the triangular region in R³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: Introduction: Double integral or surface integral is the process to integrate a multi-variable…

Q: Find the absolute extremum, if any, for the following function. f(x) = 4x4 - 1 Select the correct…

A: The given problem is to find the absolute extremum for the given function. Given function f(x) =…

Q: pls answer these two question using calculus

A: Answer1)14/9 or 1.562) 125/6 or 20.83 Explanation:Hope it helps you please ask if you gets any…

Q: wasrealize.com/community/dasses/db5210ed4a0a498999260fd5b 5. 35% A N /55° 4 C D' True mDCN< MBAN BA

A: Given, circle having two triangle with indicated angle are correct. That is true.    Angle DCN &lt;…