Find a + b, 9a + 7b, |a|, and |a - b|. a = 9i – 8j + 7k, b = 7i – 9k a + b = %3D 9а + 7b %3 |a| %3D |a - b| =

Q: (-3 V3 + 2)(-V3x + 1) LA) 9VI +2 B) -3 V30x + 2 C) 9Vx - 3V3 - 2V3x + 2 D) -8rV3 - 12/3x 4V125 4) 4…

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Q: 2cot 0-2sec 0--V2cot Osec 6-2sec 0 A 3x 5n 3x A) 2 4 4 2 3n 5a B) Sa C) 4 D) D. B.

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Q: w + x + y + z= 6 x + 3y + z = -14 w + 2x -3z = 12 2w + 3x + 6y + z = 1

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Q: (1+T+4p 1+ /T+4p (F, 2) = %3D 2 2

A: From equation (2), we have             tn+1=1+pznzn-12                   ...(2a)and…

Q: Find the general solution of (D² - 5D + 6)y = 4eˉˣ

A: Given: The equation is D2 - 5D + 6y = 4e-x.

Q: (B): If A = 2 + 3j-4k; B=3i-4j+5k and C=i+j-k, find: (U)B.C (UU)Ã. (B+C)and (A + B). (iv) (3A+ 4B).…

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Q: 6x2 -4x 1. Find the first-order derives: I. y II. y = (2x3 + 7x – 14)5 %3D 4x2-8x+5

A: To find the first-order derivative of the given function using the quotient rule and chain rule…

Q: 3A-B-2D=s -2A+ SB-3し -lo --D=-10 3B +46 - 4A - C +5D=-1o

A: Solving the problem by arrange it in matrix form.

Q: IV. Solve for x using the fact that if a" = a", then v = w. (Show solution) 1) 0.10-* = 102x+1 2) 2…

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Q: z= - 3i is a solution of z2 +9 = 0 z2 -9 i = 0 %3D z' +3 = 0 z2 +3i = 0

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Q: Using Row Reduc tion only, find the solution (if it exists.) X+2y-6=-4z 2z+ y=3 y+2z=1-x

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Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

Q: a bc 4а 4b 4c Given that d e f = 4,find -2d -2e -2f |g h i 2g 2h 2i 4a 4b 4c -2d -2e -2f 2g 2h 2i

A: We can find the answer as below

Q: z=- 3i is a solution of z² – 9 i = 0 z3 + 3 = 0 z2 +9 = 0 z2 + 3i = 0

A: Given: z = -3i   To find: The given z is solution of which polynomial from the given polynomials.

Q: Solution by Gauss seidel method. - 9х1 + 2х2 + Зx; 3D 7 X1 + 12x2 + 9x3 = 2 4x1 + 6х2 + 14х; 3D 1

A: Let x1 = a, x2 = b and x3 = c So Given equations are9a + 2b + 3c = 7a + 12b + 9c = 24a + 6b + 14c =…

Q: (B): If A = 2i + 3j-4k; B = 3i-4j+ 5k and C = i + j-k, find: (iv) (3A + 4B). C (1) A.B (U) B.C (iii)…

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Q: eaus to ro w exchange. x - 3y+ bz = -2 4x – 12y + 8z = -8 2х — бу + z 8

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Q: Q2/ Use the Gaussian elimination method to find v, v2, and vs of 2v, - vz + 30, = 5 -4v, - 3vz - 2v,…

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Q: 0 a³ a3 0 а b b² b³ b4 10. К %3D 0 c3 c3 0 0 d2 d? d3 0

A: Solution:

Q: 5. How many solutions are there between planes P₁: 2xy + 2z = 2 and P₂: -x + 2y + z = 1? If there…

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Q: BV St P X, X2 X3 S, 8 2 2 10 Const. 32 30 40 2 8. -5-3-2

A: Given the following tableau: BV P X1 X2 X3 S1 S2 S3 const S1 0 8  2  2 1 0 0 32 S2 0 10 6 4 0…

Q: = 4y- 9 3x +12y %D The solution is

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Q: -2=sec 0 %3D A) 5n 7n 5n B) 3 3 6 6 2n 4n C) 3 3 2n 7n D) 3 6 4) -1+5csc 0 = 1 + 3csc 0 TC A) (0} B)…

A: to solve trigonometric equations.

Q: Casey is making a fower arrangement with roses, r, and camations, c. The cost of each rose is $050…

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Q: (B): If A = 2i + 3j - 4k; B = 3i-4j+ 5k and C = i + j - k, find: (iv) (3A + 4B). C (1) A.B (ii) B.C…

A: The objective of the question is determine the addition and dot product of given vectors.

Q: 2 4 + 27 (-2)" 16 + 243 Σ %3D - 3n+k n=1 9. 81 what must be the value of k?

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Q: #5 Which of the following equations are equivalent to ax+bx+c =0 ?. 62 -4ac of) 2a 2a -x+x- %3D0 ー6土…

A: correct answers are options b, c, e and g

Q: C. Use parts (a) and (b) to find particular solutions of y"- 6y' + 5y = 5x2 +3x- 16- 9e2x %3D and…

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Q: Q2 :Given that the equation x² – kx + 8 = 0 where k ER has one of the solutions is %3D x = 2 - j2.…

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Q: 3. Find the general solution of + - 3x?y? А. 1/(ху) %3D -з(*/2) + с В. 1/(ху) %3D -З(x/2) + с с.…

A: Here in starting it is bernouli form so taking v=y1-n and solving and reducing it to y'+…

Q: Solve the ff by i) Gaussian Eliminahim ü.) Gauss -Jordan Elimination X - y + 22 -w =-| 2x + y - 22…

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Q: Save the sistem bf Gaussion elimination. H+27-37 =1 3X+2i]= 4Z=4 32+7]-127= 4 3X+77 - 12Z =7

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Q: (B): If A = 2t + 3j-4k; B=3i-4j+5k and C=i+j-k, find: (1)Ã.B (u)B.C (U)Ã. (B+C)and (A + B). (iv)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: What is the general solution of ху(ху5 - 1)dx + х?(1+ ху)dу%3D0 ? A 2x°y³ - 3x² = Cx? B 2x?y5- 3x? =…

A: Solution: The given equation is  xy(xy5-1)dx +x2(1+xy5)dy=0

Q: z= - 3i is a solution of z2 +3i = 0 z2 - 9 i = 0 z2 +9 = 0 z3 +3 =0

A: Third option is correct

Q: 3. If c (5x+ 2) = dx - 3 then the solution for x in terms of c and d is 3+2c (1) Sc -d 2cd (3) 5c-3…

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Q: Solve the problem. If v = 3i - 5j and w = -7i + 4j, find 3v - 4w. -4i - j 17i - 10j 37i - 31j -19i +…

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Q: n the diagram below of AABC, side BC is extended to point D, mLA = 3x + 2, mLB = 4x-1, ACD = x+19.…

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Q: Use reduction of order/formula/, find the general solution b. x²y" + 2xy' – 6y = 0; y1 = x²

A: We have to use reduction of order to find the general solution of the given differential equation.

Q: 4x k and y Given: 8dq y = - n %3D n = Solve for n in terms of d, q, x, and k.

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Q: Find two different particular solutions for 3a + 4y = 2

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Q: How many solutions are there between planes P₁: 2xy + 2z = 2 and P₂: -x + 2y + z = 1? If there…

A: Given is the equation of two planes. The objective is to find the number of solutions between the…

Q: 6. Given AABC AYZX. Find the value of AB. 1. Y A 5p - 10 Зр + 2 Show Your Work 2p+ 4 2p +4 5p - 2

A: Our objective is to find the value of AB.

Q: 1 B) Let A = 1 and %3D -1 2 B= -1 0|. Find 1 3 D AB 2 A + (2B)" 2) 2)

A: Given:A=1201-12B=21-1013a)  ABb) A+2BT

Q: (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j-k, find: (iv) (3A + 4B).C (i)A.B (ii) B.C…

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Q: Show answer clearly.

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Q: divide 3+2i / 5 - i     use the elimination method to solve the system  3x+2y=11  -x + y= 3…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find ( ax b) x eif a-i-2j-3k, 6=2i +j-k, Q2. c=i+3j-2k.

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.