-16] --14] Let ai -20|, a2 = -16 and az = –18 -4 -4 -4 The set {a1, a2, az} will span R' unless h =

Q: Graph the solution set for each system of linear inequalities. a) y >x- 2 y<x+3 y-10 5- -10 -5 10…

A:

Q: 11) Do the diagonals of figure ABCD bisect each other? Justify. A (-7, 5) B (6, 5) D(-9, -2) C(4,…

A:

Q: Write a proof that proves the Union Un an element of natural numbers (-1/n, 2-1/n)=(-1, 2). Also…

A: The given interval is (-1/n,2-1/n) where natural number n belongs to positive integers. So that we…

Q: verify that A(B + C) = AB + AC

A: Now,

Q: Suppose Duf(xo, Yo) exists. Show that Duf(xo, yo) = - Duf(xo, yo).

A:

Q: Show that PLEU FUG) = P(E) + P(F) + "P(G) - PLENF) - P(ENG) - P(FNG) + P(ENENG)

A: There are three events. These are E, F, G. The objective is to show that,

Q: for the discrimanat here dont we do (Uxy)^2-(Uxx*Uyy)

A: Please see the below picture for detailed solution.

Q: \f a,b and C. are 10 Lhen 2०-30)

A:

Q: EXAMPLE 1. Substitute, solve & simplify. If the given coordinates are both TRUE for the two…

A: In example 1, the inequality is: y-5x≤1x-5y&lt;-1   The objective is to substitute -3,6 and check…

Q: (24 |ニる

A:

Q: Write the set of ordered pairs as a mappi 2) {(-5, 5), (-4, 1), (0, 1), (3, 1), (5, 4)}

A: Given: ordered pairs:  {(-5, 5), (-4, 1), (0, 1), (3, 1), (5, 4)}…

Q: choose 1 for each question: a) (1, 2, 3 , 4 , 5) b) (increase, decrease, or stay same) c) (up or…

A: The differential equation is y'=dydx=-(y+3)(y-1) has two points when y'=0, or, y=constant. If…

Q: а) За — 5 <7х + 7 -6 –5 –4–3 -2 – 1 1 2 4 5 3

A:

Q: (-{) x ( - } ) ? 2.) What is the product of D. T C. * A. 28 B.

A:

Q: E. On the right: a. r*ak + r*(-ak) = r*(ak + (-ak)) b. r*(ak + (-ak)) = r*0 c. r*0 = 0 F. So, r*(aj…

A: the last three lines also proves b and c too.

Q: Find each set U={2,3,5,7,11,13,17,19} B={2} Find B'

A: Given:       Set U=2,3,5,7,11,13,17,19             B=2     B'=set of elements of U that are not in…

Q: Ex. 3: Evaluate, without using a calculator. a) 164 b) (-64) 3 c) 362 49 2 d) 25 e) 125 3 f) (-32) )…

A: Given

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: Provide an interpretation which is true and one that is false. (∃ x)(P(x,b))

A:

Q: P U 61°

A:

Q: 3 1 Let a = 0 |, b -1, and c = |-2|. Justify your answers using proper mathematical notation. 2 5 a)…

A: Given, a=30-1, b=1-12, c=-1-25. a) To check if v=51-4 belong to the span.  This is same as checking…

Q: What is the cartesian product of sets {1,3,4} and {2,9}?

A: 1, 3, 4  and 2, 9

Q: What if its a rectangle are there instance like that?

A: I will formulate a new problem of the same kind in more general sense for rectangle and then i will…

Q: Prove that ord,(a + b) > min(ord,a, ord,b) with equality holds if ord,a ± ord,b.

A:

Q: Show that A\ (Bnc) (A\B)U(A\C).

A:

Q: y QI:: Let X₁, X₂ ~ N(0,1) 1) X1-X₂ X₁ + X2 2) (x1+x²)2 X₁-X2 what dist of 2X² 3) x² + x²

A:

Q: If a and b are in R^n, is −a in span{a , b }?

A: Let a,b∈ℝn

Q: 14) A(3,-1), B(1,-2), C(5, -1), A (2₁-6), AB. CA = ?

A:

Q: Write Dual: minZ= 40x, +120x s.t *1+4x2= 4 2x +3x225 Xg.X20. C=40 120]

A: follow second step

Q: 28) 28) -4 < xs -2 A) (-4, -2) B) (-4, -2] C) [-4, -2) D) [-4, -2]

A:

Q: 19) If A = {p, m} and B= {3, 6, 4} %3D Find B XA (Use proper notation)

A:

Q: 1. Determine whether or not the expressions below are wff (well-formed formulae). Explain your…

A:

Q: HO Let A = 1 -21 4 and B = 3 2 3 5-6 -1

A:

Q: Show that (AUB) - (ANB) - CA-B) U (R- A) using laws of Bers.

A: The given question is solved below.

Q: i+?) tan'군 %3D

A: We have to prove following identities

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =&lt;4,-3&gt; and v =&lt;-2,7&gt;

Q: 2. If set A contains {1}, and set B contains {2} then AUB= (1 Point)

A: Set is the measure of the collection of well known information. Let A and B be the two sets, then…

Q: Let a, b and c be positive numbers such that a ^ 2 + b ^ 2 = c ^ 2 Show that a + b> c.

A: Let a, b and c be positive numbers such that a ^ 2 + b ^ 2 = c ^ 2To Show:-  a + b&gt; c.

Q: Let me N and set (-1) m max (2-(-1)", 3-(-1)+1} Am-7+ B-2-min (5-m(-1)+3,7) R= (meN: B = -4m), V=…

A: Given Data: Am=7+-1mm. max 2--1m,3--1m+1Bm= 2-min5-m-1m+3,7

Q: Suppose u = (4, 3, 0), v = (−1, −5, 5) and w=(5,-4, 0). Then: ú.v= u.w= v • w=

A: According to the Bartleby guidelines we are suppopsed to do the first three subparts of multiple…

Q: 4x + 9y = 9 x - 3y = − 6 10) 4x - 2y = - 12 - 4x + 8y = - 24

A: 9)