Ex CR,d) (ojo) P, Q, on the same lin e o Prove that Rd) metric Spa ce ? Find the open bal
Part D,E,F,G
10. Let p(x) +1. Let E be the splitting field for p(x) over Q. a. Find the resolvent cubic R(z). b. Prove that R(x) is irreducible over Q. c. Prove that (E:Q) 12 or 24. d. Prove: Gal(E/Q) A4 or S4 e. If p(x) (2+ az+ b)(a2 + cr + d), verify the calculations on page 100 which show that a2 is a root of the cubic polynomial r(x)3-4. 1. f. Prove: r(x) -4z 1 is irreducible in...
Let S denote the sphere x2 y2 2 = 1. Given two points P(1,0,0), (a) Find the distance between P and Q. Lets call this Euclidean distance. (b) Find the plane that goes through O, P, Q. What is the intersection of this plane with the sphere? (Hint: use OP × OQ as the the normal vector) (c) Observe that the length of the arc PQ is 0 the angle between OP,0Q in radians. (Hint: You know how to find...
Summarize the experiment(s) and answer the following question:
Why is this a correlational study and not an experiment (hint: why
can't researchers manipulate the independent variable here)? What
do you think of their measure of charisma and social skills? Why do
you find it satisfactory or unsatisfactory?
Read the attached article: link=
Hippel et al. _2016_ - Quick Thinkers are Smooth
Talkers.pdf
the link is also above so can copy and paste it in a internet
browser
the
link is...