Explain the difference between the actual definition of a
Riemann Integral of function f on the...
Explain the difference between the actual definition of a
Riemann Integral of function f on the interval [a,b] and the
conclusion of the FTOC Part 2.(Fundamental Theorem of Calculus Part
2)
Explain the difference between the actual definition of a
Riemann Integral of function f on the interval [a,b] and the
conclusion of the FTOC Part 2.(Fundamental Theorem of Calculus Part
2)
1. What is the difference between the Riemann integral and the
Darboux Integral?
2. Give the same characteristics between Riemann integrals and
Darboux integrals !.
Explain the differences between Shorting (selling) call and
puts, not just in definition, but in actual workings of the option,
price changes, time value, the Greeks, strategic use in a
portfolio, risk management etc. Give an example of an American
based company, and one call and one put for the company and explain
the pricing differences and why they are.
Use Cauchy-Riemann equations to show that the complex function
f(z) = f(x + iy) = z(x + iy) is nowhere differentiable except at
the origin z = 0.6 points) 2. Use Cauchy's theorem to evaluate the
complex integral ekz -dz, k E R. Use this result to prove the
identity 0"ck cos θ sin(k sin θ)de = 0
Conception of the Integral and convergence of the function
1. We know that if fn—->f is (point-wise or uniformly)and
every fn in the interval is Riemann integral, then will f
be Riemann integrable
on [a,b]?
please answer this question separately in pointwise and
uniformly.
Some hints: use the definition: f is a function iff a = b
implies f(a) = f(b) and recall that in informal proofs we show an
implication by assuming the if part of the implication, and then
deducing the then part of the implication.
The base case will show that a = b implies f(a) = f(b) when f(x)
= c0 (a constant function). The inductive case will
assume a = b implies f(a) = f(b) for degree k, and...