b) Let f(x) be the linear function so that the straight line y=f(x) passes through the points (0,1) and (1,4). Then approximating the integral in Part a) with

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A: We can use the concept of integration in order to solve the given problem.

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A: To Solve the above integral we use Cauchy Integral Formula.Given in Second Step.

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A: Given, The function f={(x,y)∈R×R ; x=y3 }   We have to show that the given function is from R to R.

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A: We need to find the integrability of the function and find the integral of it.

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A: The line integral of  function F along with curve C is defined as  ∫CF·dr=∫C(M,N)·(dx,dy)=∫CM dx+ N…

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A: given line integral ∫c10xy3z3+3y2z3+21x2z2dx+15x2y2z3+6xyz3dy+15x2y3z2+9xy2z2+14x3zdz   ...i…

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A: According to the given information, it is required to find the value of the given integral.

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A: Given the function fx,y=x2-y2

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A: