(a)find y as a function of x, if y'=e^(x-1) and y =1 when x=1. What is the y intercept of this curve?
(b)The gradient of a curve is given by y'=e^(2-x) and the curve passes through the point (0,1). What is the equation of this curve? What is its horizontal axis?
(c)f=Find y, given that y'=2^(-x), and y=1/2log2 when x =0.
(d) It is known that f'(x) = e^x + 1/e and that f(-1)=-1. Find f(0)

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\[\int\limits e ^{x-1}\]

\[1/e \int\limits e^x d x\]

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