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Question: Decide which of the following functions are analytic
(i) f(z) = x2 + iy2
(ii) f(z) = ex+y (1+ xy)2
(iii) f(z) = z
(iv) f(z) = sinh (z)
a rectangular trench is to be dug which is to be 240 ft long, 90 ft wide and 9 ft deep. a large dump truck can carry 20 cubic yards in a load. how many truck loads will be required to remove the dirt from this trench?
Thor has dropped his hammer, Mjolnir, into a 1ft x 1ft x 3ft container full of distilled water. If Mjonir has a uniform density of 7.8 g/cm3 and the water level was 1.5 inches lower after Thor summoned Mjolnir back to him.
If A and B are subsets of a group G, define AB = {ab | a 2 A, b 2 B}. Now suppose phi: G -> G0 is a homomorphism of groups and N = Ker(phi) is its kernel.
a shopkeeper buys some books for rs-80. if he had bought 4 more books for the same amount each book would have cost
The internal and external radius of a metallic hemisperical bowl are 5 cm and 11 cm respectively. Find the volume of the metal used to make the bowl.
Find the expected value associated with the purchase of one ticket - how many different delegations are possible?
people were polled on how many books they read the previous year. how many subjects are needed to estimate the number
For each of the eight DES S-boxes, compute the bias of the random variable X2 ⊕ Y1 ⊕ Y2 ⊕ Y3 ⊕ Y4. (Note that the DES S-boxes map 6-bit input to 4-bit output and are therefore not invertible. But this should not concern you here.)
If the digits are reversed, the new number will be 18 more than the original number. What is the original number?"
1) Rudin, Ch. 1, Problem 1: If r is rational (r not equal to 0) and x is irrational, prove that r+x and rx are irrational.2) If (a_n), (b_n) are rational sequences, and lim a_n = a, lim b_n = b, show that: lim(a_n+b_n) = a+b, and lim(a_n b_n) = ab. 3..
the differenece between the prices of two bikes is $18 the sum of the prices is $258 how much does each bike coat?
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
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