If Q : R" → R is

Q: prove if x → y then xor y = y =

A: To prove : If x→y then x or y = y Lets use the help of truth table to prove the above statement.

Q: Prove that A u (B n C) = (Au B) n (A u C).

A:

Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

A:

Q: 13. Find the intersection of [x, y, z)=[-8,-3,-5]+[1,2,-1] and [x. v.]=[1.9,4]+s[2,1,7].

A: We can find the intersection of the curve .

Q: then -A U= 4 5 and uTu · [

A: The given matrix

Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

A:

Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

A:

Q: 2 let -27 Aslo -3 1470 -4 find AB+BA,AA"AA, (3A=2B)°C A'C..

A: "Since you have posted a question with multiple subparts, we will solve first three subparts for…

Q: Suppose that the translation T is described by (?,?)→(?+2,?−1)(x,y)→(x+2,y−1). What translation…

A: We have to find the translation described in x,y→x+2,y-1.

Q: 5. Consider the false statement Vr, y E Q, x < y = A counterexample is a = -1 and y = -2.

A:

Q: Evaluate (t – 4/i +t-')dt

A: Given : ∫t -4t + t-1dt

Q: AN 3. Given R(x) = a) R (-1 3x-1 TED COMPILED ANDEDIB COMPILED AND EDITE COMPILED AND SoCOMPILED AND…

A: This is a composition of functions.

Q: Evaluate o S, (4 – x²y?) dy dx

A:

Q: 10. Find x and y, given that (x² + y²,4) = (25, x).

A: When the Cartesian product is performed between two sets, as a result, an ordered pair is obtained.…

Q: 2 Find (5a" + 4a*) da 1

A: We can find the integration value as below

Q: End the cquation ot the perpeadicular to tie line KEy=4tat goes thousn the point (0,2).

A: topic - equation of perpendicular line

Q: 4. Find MZSTV. R (9x + 1)° -(23r -7)° U T

A: Need to find angle

Q: の|=4+- COSU u =TX ノ H.W ノ

A: Given that  y=u+1/cosu  u=πx and x=1/4

Q: If X, Y, Z ER and x≤Z, show that XL Y S z if and only if |x-y| + | y-z| = |x-z). Interpret…

A:

Q: 3. Choose whether the following statements are true or false: (a) Ax.ly.y x is a-equivalent to…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

A:

Q: Let z = 6ex²y³. Then: дz дх дz ду

A: We can solve this as follows:

Q: VXVYP(x,y) is equivalent to VyVxP(x,y). O True O False

A: ∀x ∀y Px, y is equivalent to ∀y ∀x Px, y.

Q: b) Consider the second-order DE. y" +25y = 0 rE (-00, 00) Show the zero’s of the solutions separate…

A: The given differential equation is y''+25y=0 If D=dydx then equation will be D2+25y=0 Now Auxilliary…

Q: az Q.7 If z(x + y) = x2 + y?, show that lax = 4 ду. - +(1 - ax ду.

A:

Q: Let x, y ∈ R. Suppose x2 + y2 = 0. Prove that x = 0 and y = 0.

A:

Q: Prove that OfVg.dr = ] (Vfx Vg) · N ds.

A:

Q: -1 1 Let A= 1 Then, ||A||2 = -2 Select one: a. 9+V45 2 b. 8+V45 c. 10+V45 2 d. 7+V45

A:

Q: Let U = x'e . Find dU .

A: The given function is: U=x2eyx Therefore: dU=∂U∂xdx+∂U∂ydy

Q: 3. Construct a bijection f: [0, 1] → (0, 1) UN.

A:

Q: 1 -1 2. Let A = and u = 3 -3 -5 -3 (a) Is u in Col(A)? (b) Is u in Nul(A)?

A:

Q: If find az/au and az/av. дz/?u = Əz/dv= z = xe", x=u³v³, y=u³+v³₂ (In your answers, do not rewrite…

A: z=xeyx=u3-v3y=u3+v3from chain rule ∂z∂u=∂z∂x×∂x∂u+∂z∂y×∂y∂u