Find the probability that Y is greater than 3. Let Y have the probability density function f(y) = 2/y3 if y> 1, f(y) = 0 elsewhere.
Suppose that UCC is open and connected and a E U. Let F:= {f € H(U)| Re(f)> 0, f(a) 1} Show that Fis normal.
A= 10 5 5 2 B= 4. 1 > ,A+B= . ] 0
Find the Laplace transform of f(0) = 1, for 0 <t<1 5, for 1<t<2. e-l for t > 2
5. ??? v. (0) = 20Y ?? v, v * ??? i ?????? t> 0 5. Let v(0) 20V. Find vov and i, for t>o 8? 5? 20.5FC Figure.5
Prove that is an integer for all n > 0.
Question 4 Find i(t) for t >0 for the circuit below. 4Ω 12 V 5 H 3 A
Find the length of spiral curve T() = ----- 0 < > < 2”
(20 points) Josh makes deposits of 1000 at time 0 and X at time 4. His balance grows at a force of interest dt = t- t> 0. The amount of interest earned from time 3 to time 6 is also X. Calculate X.
5. Given y,-t is a solution of t2y" + 2t1-2y = 0, for t > 0, find a second solution y2.