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
).
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...
1. Use a truth table to find if the following is valid or not valid: p → r q → r q ˅ ¬r Therefore, ¬p Valid Not Valid Discrete Math 2. Indicate whether each expression is an equivalence of the following: p ˄ q p ˅ q p → q ¬(p → q) (p ˄ q) ˅ (p ˄ q) ¬ (¬p ˅ ¬q) 3. For the given values for p, q, and r,...
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.
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...
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
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)...