Consider the function f : N → N given by the formula f(n) = 2n. Is f one-to-one? Explain your answer with a proof or with a disproof. Is f surjective? Explain your answer with a proof or with a disproof. Is f bijective? Explain your answer.

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A: Probability = Number of Possible outcomes/Total outcomes

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A: The given function is f(x)=x5+x-8 find f(-2) f(2)=25+-2+8=32+2-8=26 find f(-1) f(1)=15+1-8=+1+1-8=-6…

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A: Questions from differential equations.

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A: We have to find the volume of given bounded region.

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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Q: | 2 3 4 3. 10 21

A: Here least square method cant is used for this function. The reason is given in the next step.

Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0

A: The given differential equation is dy - 2x1-y2dx = 0

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Q: Q3) Evaluate triple integral f, S, ya(x² – y²)dz dx dy.

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Q: If n(A U B) = 20, n(A N B) = 3, and n(B) = 13 , what is n(A) ? Your answer

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Q: For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in…

A: We can solve this using formula of left Riemann sum

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A: Volume bounded by the region

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A: We want to find value of x.

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

A: Given differential equation is dy - 2x1-y2dx = 0

Q: 53-S²+S-1

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Q: Q4) Find plane area inside the polar function r = 2sin (- 0) and outside (- – - 0) in first quarter.…

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Q: Consider the ordered bases B ((-1,2), (3, –3)) for the vector space R?. ((1,0), (0, 1)). ((1, 4),…

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