a) Let f: R - [1, co), where f (x) = x2 + 1. Determine whether the function maps onto the given codomain. b) Let f : (1, co) (1, 0), where f (x) = . Determine whether the function is one to one.

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A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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A: Given : f'''t = t - 2cost

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A: Thje given functions are,u(x,y)=y(x2+y2) , v(x,y)=x(x2+y2)

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A: We have to prove given identity: Concept:

Q: e*, cos x, sin x

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Q: Let f(x) = sin x and g(x) = cos x, and W = span{f, g}. 10.1 Use the Wronskian to show that f and g…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

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A: Given problem is solved below.

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A: First prove that the  function is one -one  let f(x)=fyx7+1=y7+1x7=y7x=y therefore, the function is…

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A: Solution:

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A: ddxsinnx =cosnxddxnx =ncosnx

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A: The solution is given as

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A: Proceed as shown below

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