?な s= a, bez 2b a Show that φ :Zl12] → s given by φ(a + b/2)= 2b a is a ring homomorphism. Hughes, Benjamin Homework Lesson 15.01Due Wednesday, February 14,2018 Problem 7. Let R be the subring of M,(2) given by R= a, b.cez show that 9: R →Z be defined in the previous problem is a ring homomorphism. 355 PM
Consider two independent events, A and B, where 0くP(A) < 1,0くP(8)く1. Prove that A' and B' are independent as well.
7. Let X and Y have joint pdf 122 (1-x)y, 0, 0〈x〈1,0くyく1. otherwise. x,y(x,y) = (a) Find the joint cdf of X and Y. (4pts) (b) Find PY< VX. (Spts) (c) Find the marginal pdfs of X and Y. (6pts) (d) Are X and Y independent? (5pts)
7. Let X and Y have joint pdf 122 (1-x)y, 0, 0〈x〈1,0くyく1. otherwise. x,y(x,y) = (a) Find the joint cdf of X and Y. (4pts) (b) Find PY
Find the zero-state response of the linear system with transfer function with an > 0 and 0 <くく1, when the input u(t) is the unit step, that is, u(t)-1(t), for 12 o, using both 1) the transfer function approach and 2) the convolution approach
Find the zero-state response of the linear system with transfer function with an > 0 and 0
mた 731 100 417 561 60 65 70 75 40 45 50 Problem 2.9 Spectrum G 95 90 wavenumber (ara) Problem 3.4 G 2.7 2.6 2.5 2.4 2.3 22 2.1 2.0 19 18 1.7 1.6 15 14 1.3 12 11 1.0 09 08 ppm 95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 ppm
I need B
Thank you
a.use Newton's Law of Cooling, T.C+(なの.-, to find a model for the temperature ofthe jice. Taher tminutes 35 (48je Soho fork and enter the answer ← Round to four decimal places ) b. What is the temperature of the juice afer 15 minutes? Type an integer Round to nearest degree)
uestions 1. Redraw the Newman projection inba Fischer projections using the template provided OH な. OH HO Br Br
く) 2012 of the Figure 1) E,.FD= 17.96.20.36
7- Determine whether the given function belongs to 2 7-4) f(x) =-, , î 〈く00
7. Let V = P2-{polynomials in x of degree 2 on the interval o <エく1) and let H span(1,2}, Find the vector in H (i.e., the linear function) that is closest to a2 in the sense of the distance