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- Represent f(t) using a combination of heayside functions.If f(z) = z^(i-3), then compute f'(2)show full workingDetermine two functions, defined on the interval (−∞,∞)(−∞,∞), whose Wronskian is given by W(f1,f2)=e2xW(f1,f2)=e2x. Are the functions that you found linearly independent on (−∞,∞)(−∞,∞)? How do you know?
- Suppose F 1 and F 2 are both antiderivatives of f on an interval I How are F 1 and F 2 related?Let f(x)=√x. By use of the little o notation justify that the linear approximation to f at x0 improves in quality as x0 increases.1. Show (in terms of ε - δ) that a function f : R3 → R defined byf(x; y; z) = (2x + 3y + 4z) is uniformly continuous.