Problem 3. (Number Theory) 3 and q = 7 and (7 pts) (i) What are the...
Additional Problem A: The CDF of random variable X is given by: I< -3 -3 < z< -2 Fx(r) = -2 <I< 2 a) Find the possible range of values that the random variable can take. b) Find E(X) = 4x, the expec ted value. c) Find P(X > 1). d) Find P(X > 1|X > -2).
E O words </> Question 6 5 pts The demand for watches is given by: Q (p) = 160 - 4p, where p is the price of a watch. Calculate the revenue maximizing price for the firm that sells watches to charge for watches. D Question 7 5 pts The demand function for watches is: Q (P) = 160 - 4p, where p is the price of a watch. Calculate the marginal revenue at output level () equal to 20.
Problem VI.(15 pts.) Suppose that is an irrational number. 1. Prove that j + cannot be a rational number 9 with gl < 2. 2. Can j + be a rational number whose absolute value is greater than 2? Why or why not?
u =<4, -5 > v=<3, 2 > | 2u – vl = ? Whole number. <7, -1, 5 >.< 2, 3, 1>=? whole number
p=3, q=7 Suppose that Bob wants to create an example of an RSA public-key cryptosystem by using the two primes p ??? and q ???. He chooses public encryption key e He was further supposed to compute the private decryption key d such that ed 1 mod A(pq)). However, he confuses A and and computes instead d' such that ed' =1 (mod P(pq)). (i) Prove that d' works as a decryption key, even though it is not necessarily the same...
QUESTION 22 Plot the elements of the set on a number line. {x| X<-7} + 4+ S + -10 + -8 -6 -4 -2 0 2 ok. ok + + + + + + + + +
2. [20 pts] Find all solutions (if any) to the following boundary value problem. y" + y = 0, on 0 < x < 7/4, y(0) = 0, y(s/4) = 3.
n or inequalities Ixl < 5 and lyl < 3
Find the solution to the interpolation problem of finding a polynomial q(a) with deg(q) < 2 and such that q(20) = yo, q(x1) = yi, and q' (x1) = y; with Xo < X1. Under what exact conditions is deg(q) = 2?
Q 33 - (2 pts) Predict the position of equilibrium for the following acid-base reaction. + A) reactants side (Keq <1); B) products side (Keq >1); C) reactants and products are at the equilibrium (Keq =1);