prove the a disconnected graph with n vertices and k components have number of edges e n k

they are on pages 4, 7, and 13 in the pdf attached.

s: (a) (5 marks) (A + B) T = AT + BT . (b) (5 marks) (AB) T = BT AT . (c) (5 marks) AT A is symmetric. (d) (5 marks) AT A = AAT .

find the area of the astroid x^2/3+y^2/3=a^2/3

id approximation of pi to two decimal places. in the previous parts of the problem, we found the taylor polynomial for arctanx, so I was wondering how we can use that information to prove that 3.14=pi

ichard s. millman george d. parker the question in p: 41

ie, A union B is equal to A complement intersection B complement the whole complement.

hey have the same remainder after division by n. Prove that a ≡ b (mod n) if and only if n|(a − b).

hey have the same remainder after division by n. Prove that a ≡ b (mod n) if and only if n|(a − b).

that a and b are two integers with GCD 1. Prove that if p is any odd prime which divides a^2 + b^2 then p ≡ 1 (mod 4).

to the bases b. has a length equal to the average of the base lengths

). When she gave me a UA she said I had failed it for methamphetamine (there was a very faint line on the instant test, which means she should’ve counted that a negative for meth result. I have been sober from methamphetamine for more than a year. I would admit if I relapsed, especially since I already knew I was going to get violated for the DUI. She said she sent in my UA and 3 days later got the results back and they were positive (I have not seen the “results”). Is there somewhere I can find scientific proof that these drug tests, especially the instant panel tests, are not fool proof? Especially since I am prescribed non-time release Adderall, Wellbutrin, and gabapentin. That there is also plenty of other things that can interfere/mess with these tests? Can you please recommend any text books, websites, and/or science journals that would help me prove this?

orresponding angles as a reason? why not, and what can you use? how am i suppose to know how many steps to have? whats the difference if i have "m" (measure) before the angle and if i dont have it before the angle? ex. m<4 congruent to m<2 <4 congruent to <2

ff, hits a small object A at a horizontal distance a from O and at a vertical distance h below the level of O. A hit is also made if the stone is projected from O with speed v at an angle of depression given by (90-alpha). Prove that v2 + ga cot(2alpha) = 0 and h + a tan(2alpha)=0.