6.1.4 Let A = [1,3], B = [2,4] and C = [2,3]. Prove or disprove that %3D (Ах B)n (В x A) 3 Сх С.

Q: 2) Show that 2m +1 m P(x) m +1 -xP (x) m+1 (x)F

A:

Q: If A = 2 4 and B find: (а) АВ (b) А + B" (с) 2A' - В

A: Topic:- matrix algebra  Note:- as per our guideline if more than three subparts than  only first…

Q: @ 1,728.7 in' (B) B 34,9927 in © 195,432.2.7 in D 62,2087 in' (D

A: we have to find the volume of the given sphere.

Q: Ба. А (812031350); B = (15 2 7 4 2 4 4 1 ); C = (4 – 22); D = (0 – 14) Hitunglah: a. A' + B' = b.…

A: Given that A=8 1 2 0 3 1 3 5 0, B=1 5 2 7 4 2 4 4 1, C=4 -22, D=0 -14 (a) A'+B' In the matrix A and…

Q: Given X N(20,16), find b. P (X <19) (4 decimal place)

A: X~N( μ , ?2 )   μ=20 , ?=4   Z-score =( x - μ )/?

Q: 2. LetG = (Z12,) & H == {4,8,0}. Then [G:H]=3. *True *False

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Q: дz дz Givenz = xey +yex, Find дх’ду

A: in partial differentiation , other variable is considered as constant when function is…

Q: 6. If x = -4 and y = 2, then verify that. 7 (ii) - (x+y)= (-2) + Cy

A: 6 Given that x=−47and y=25. We have to verify that −x+y=−x+−y. First take left hand side -x+y…

Q: b) Use the initial condition x(0) = 2 to find the particular solution of dx - 2x = 2e3t dt

A: We have to solve the given initial value problem  As per the answering guidelines we need to answer…

Q: Vx3y P(x,y) is equivalent to 3x Vy P(x,y). True O False

A: Given that ∀x∃y Px,y is equivalent to ∃x∀y Px,y. To find that the statement is true or false.…

Q: Find.: if dy æ*y+æz – yz² = 7. - -2y: 2yz-z C. E. None of the others. /Geen van die ander nie. 비 비…

A: Given; x4y+xz-yz2=7

Q: (a) A = [í 21 B = R s c= D= -2 -5. 4 = G ) B= = L, ) = 5[ -3 -5 (b) A = [; ) B =[ D = 5 -11. -5]

A: Givena)A=2112, B=-30-2-5 , C=-2-402, D=0000.b)A=1114, B=-3-50-11 ,C=19-110 , D=-55-20-25To find All…

Q: 14. Suppose that Yk+2 – Yk+1 + 2yk = 4*, k > 0, and that yo = 2, y1 = 1. Find yk using the method of…

A: Solution of difference equation is a function that satisfies the given difference equation. Solution…

Q: If Z1 =1- j3, Z2=-2+ j5 andZ3 =-3- j4, determine in a + jb form: Z1Z2 O a. 13 + j11 O b.-13 + j11 O…

A: We will follow the usual multiplication of complex number.

Q: 4. If w = x²y + y²z + xz², show that дw Әх дw дw дz = (x + y + z)2.

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Q: In ([0,0),Tcoc), if A = N, then A' = O a. (0,00) O b. [0,00) O C. O d. A e. A-{1}

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Q: Which of the following is the graph of * 4x2 + 13y2 52 %3D 12 V 10 4W2 W2 VF -1412-10 -8-6 -4 -2 olc…

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Q: ITA = ( ) B = (, 7) mnd C = (-2 ) ind 2A - ЗВ + 4С

A:

Q: 2 2 1+ 5+² µ² = (1 + 2/² ) E" - M+² = 2

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Q: B [. (P → Q ) ^ P] → Q Q

A: We will find out the required truth table.

Q: P → (Q → R) is equivalent to A. (P ^ Q) → R B. (P v Q) → R  C. (P v Q) → ∼R D. None of these

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Q: Let X N(10, 23). Then P( X< 10) = %3D

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Q: 10. Find the distance between A (4, -3) and B(-2, 5). А. 11 В. 8 С.9 D. 10

A: As we know that the expression for distance between two points is :   Distance=AB=x1-x22+y1-y22…

Q: 1 for x. 2 Solve - x+1 -+ 5 =

A: The given equation is                                               2x+1+5=1x

Q: If 1 A = -9 6 1 6. 2 -T and Q(#) = ' Až, then Q(z1, 12, T3) = Enter z1 as x1, 12 as x2, and 13 as…

A:

Q: Let a + 0. Assume that (5A – 3B) = I with | 1 2 3 A = 0 -4 -7 . Find ) 11 -1 the (2,3) entry of B.…

A: The given matrix is,A=1230-4-7011-1

Q: [: ] c- [ ? 3 A = B = C = - 4 - 2 1 1- Compute the following а. (В — С)" b. 2BT – 3CT c. (D – 2A")"…

A: Given: A=120-170     B=134-1    C=1012    D=12-1102

Q: 21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC…

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Q: 3. If h:x + x + 1 and k:x - x', complete the following. b. ko h:5 a. koh:3 d. hok:3 c. koh:x - ? e.…

A: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and…

Q: 4. Let A²-k²In, = for a real number k. Find a closed form formula for e^ = I + A + ² + ³² + …...…

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Q: Let x = (m , 1 , 0 , -2)", m > 0 and ||x|l2 = v30, then m = Select one: а. 4 b. 5 с. 6 d. 7

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.