True and False The total areas of step function, f(k)=k feet, for k ranging from 1 to 1000 is 500.50 ft?, assuming each step has a width of 1 foot.

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True and FalseThe total areas of step function, f(k)=k feet, for k ranging from 1 to 1000 is500.50 ft?, assuming each step has a width of 1 foot.b.If f is continuous and,A(x) = ff()dt.then a f f()dt = f(x)or, A'(x) = f (x).C.Implicit differentiation can be used to find the slope,dy, at any point (a, b)on the curve x? + y? =r?, as 2xdx +2ydy=0, ordy _-x _zadxb- without having toexpress y = tvr? - x? and then differentiating y to getdx