Answer the following questions: Q-1. [10+10 marks] a) Let A = [1 2] . Find all...
Question 3 (10 marks) Suppose B-[bi, b2] and Cci, c2) are bases for a vector space V, even though we do not know the coordinates of all those vectors relative to the standard basis. However, we know that bi--c1 +3c2 and b2-2c1 -4c2 (a) Show that if C is a basis, then B is also a basis (b) Find N, given that x-5but 3b2. (c) Find lyle given that y Зе-5c2.
Question 3 (10 marks) Suppose B-[bi, b2] and Cci,...
Assume that the transition matrix from basis B = {b1, b2, b3} to basis C = {c1, c2, c3} is PC,B = 1/2*[ 0 -1 1 ; -1 1 1 ; 1 0 0 ]. (a) If u = b1 + b2 + 2b3, find [u]C. (b) Calculate PB,C. (c) Suppose that c1 = (1, 2, 3), c2 = (1, 2, 0), c3 = (1, 0, 0) and let S be the standard basis for R 3 . (i) Find...
Answer ALL questions. (20 marks) 1. Find the quotient and remainder by using long division. (6x + 4x* + 3) + (1 + 2x) 2. Given that P(x) = ax2 + 5x - 1 and Q(x) = bx + 4. If P(x). Q(x) = 3x2 + 17x2 + 19x - 4, find the values of a and b. 3. The function H(x) = x3 + ax? – bx + 5 gives a remainder of 11 when divided by x +...
In the figure, let C1 = 4 μF, C2 = 2 μF,
C3 = 5 μF and C4 = 2 μF. Find the equivalent
capacitance between a and b. (Give your answer in
decimal using micro F as unit)
C C2 1 4
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 A = 30 -1 B C = D= find 9 1. A+ 3B 2. B - 2A = 3. CD= 4. DC =
HELP! I'm not sure how to find the rate constants
1. Using data Irom Part A determine the value oly re in y- -1.322. or 2. Using data from Part B determine the value of x. e us 3. Using the values of x and y, determine the values of the rate constants for experiments A2 and B3 K-Rate k (A2)- k (B3) -뉴 Using the values of x and y, determine the values of the rate constants for experiments...
Q-5: [5x1 marks] Let f(x) = 10 + (x – 2)4 a) Find f'(x) and f'(x). b) Find the intervals on which f is increasing or decreasing. c) Find the local maximum and minimum of f, if any. d) Find the intervals on which the graph of f is concave up or concave down. e) Find the points of inflection, if any.
please show all steps thank
you
4. (10 marks) Let βο and βι be the intercept and slope from the regression of y on xi, using n observations Let c1 and c2, with c#0, be constants. Let ß0 and ßl be the intercept and slope from the regression ofciyi on c2xi. Show that ßi-(c1/c2) B\ and Bo -cißo, thereby verifying the claims on units of measurement in Section 2-4. [Hint: Plug the scaled versions of x and y into A-s....
Question #3 please with some explanations. Thank you!
E - 21% O Tue 10:16 PM Q 2017.pdf (page 1 of 3) @ Q Search • Know what the symbol [x4] P(x) means. Exercises A. Handout Questions In the questions below 'closed form' means writing the generating function not as an infinite series using "...", but writing it in terms of rational functions. For example, I is the closed form of 1+2++ ... 1. For each equation, express the number of...