In this particular question If A x B =((p, q).(p, r), (m, q), (m, r)}, find the value of A and B.?
Solution
A= set of first elements =p, m)
B= set of second elements = (g, r
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6)Find the component statements of the following and check whether theyare true or not.The component statements arep: 24 is a multiple of 2.q: 24 is a multiple of 4.r: 24 is a multiple of 8.
Problem 11.11 I have included a picture of the question (and the referenced problem 11.5), followed by definitions and theorems so you're able to use this books particular language. The information I include ranges from basic definitions to the fundamental theorems of calculus. Problem 11.11. Show, if f : [0,1] → R is bounded and the lower integral of f is positive, then there is an open interval on which f > 0. (Compare with problems 11.5 above and Problem...
Maths will never give one a break any help in all this questions will do appreciate Question 5. Let A be a square matrix of order n and λ E R be an eigenvalue of A of geometric multiplicity k (1sks n) (a) Taking abasis Bo of EAA the eigenspace of A for the eigenvalue λ and extending it to a basis B of R" show that MatB+a(A)-(Ολ4.P), for 80m e matrices P of order k × (n-k) and Q...
consider the Riccati equation y'=p(x)+q(x)y+r(x)y^2. If a particular solution y1(x), show that the general solution y(x) has the from y(x)=y1(x)+z(x); where z(x) is the solution of the bernoulli equation: z'-(q+zry1)z=rz^2 Use this technique to find the general solution of the equation, y'=y/x+x^3y^2-x^5. (Hint: Verify that y1(x)=x is a particular solution)
Suppose a set of data was arranged in order from lowest to highest values as shown below, where each letter or symbol had an unknown numerical value: b, a, #, v, w, y, @, p, c, m, n, x, q, &, k, +, r, $ (a) Find the five number summary.
You are given the price p(q) at which qunits of a particular commodity can be sold and the total cost C(q)of producing the q units. Find the revenue functionR(q), the profit function P(q), the marginal revenue R’(q),and marginal cost C’(q). Sketch the graphsof P(q),R’(q), and C’(q) on the same coordinate axes anddetermine the level of production q where P(q) ismaximized.p(q) = 710 - 1.1q2 ;C(q) = 2q3 -23q2 + 90.7q + 151
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...
a) Using the position vector from A to C, calculate the moment about segment AB due to force Fb) Using the position vector from B to C, calculate the moment about segment AB due to force FThe general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows:The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R...
Please answer the problems after f and please explain the reasoning (1) For each assertion below, indicate if it is true (T) or false (F) by circling the correct response. (a) (T, F) The statement, "this statement is false” is a proposition. (b) (T, F) The statement "If I am Spider-Man, then I can breath in space" is true. (c) (TF) The statement "Spider-Man can breath in space" is true. (d) (T. F) "F →p can be false. (e) (T,F)...
Introductory Econometrics, please help! Question 2). (27.5) Assume the following p.d.f f(x) can be used to describe the Income distribution in the US f(x) -kx'2 for 0sx<6 (a) Find the value of k Now, assume the following pdf: f(x) = 1/72x2 for 0Ex6 (b) sketch a graph of the corresponding pdf. (c) sketch a graph of the corresponding cdf. (d) Find P(2s X s 4) and indicate what you calculate in your graph in Part b) (5) (e) Find the...