Solve the system of equations using Cramer's Rule if it is applicable. 6x − 7y + 6z = 4 - 4x + 5y + 3z = 7 -7x-6y-6z=-117 O A x=9, y = -8, z = -1, (9,- 8, -1) OB. x = 10, y = 6, z = 1; (10,6,1) OC. x = 9, y = 8, z = 1; (9,8,1) O D. x = 8, y = 1, z = 8; (8,1,8)

Q: Calculate (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

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Q: Find x and Y. -3 x -3 19 12 7. (x, y) =

A: The given matrix is -3xy7=-319127. Find the value of x and y. Here we use the property of matrix: If…

Q: 3x: - 2x2 + 2x3 = 0 6. Solve *, + 2x2 – 3x3 4x1 + x2 + 2x3 = 0 = 0. by Cramer's rule

A: Given that  By solving the equations by cramers rule

Q: solve this linear equation using cramers rule x+ y−z=0 2 x−3 y+z=1 2 x+ y+2 z=7

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Q: 8. (S.15). Write P20 r2+2r-1 as a linear combination of the polynomials P21 r-r- 2, P22 2r2-r+3, P23…

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Q: Find the solution for an = 6a-1-8an-2 for n>2 and ao = 4, aj = 10.

A: Given recurrence relation is an=6an-1-8an-2, n≥2 and a0=4, a1=10. Let an=xn be a solution of above…

Q: 10: (-24x7- 2305 tee -4+) de -7+1 -2400 5+1 + e -7+) 5+1 1+1 Hx+ Incx) +C %3D + e 6. 40 + Ans. 3…

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Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: (1–3)* (t³ -8) t + 2 4. 2-t

A: Given problem:- y= (1-3)5(t3-8)/(2-t)  To find:-  find derivative of given function

Q: Find a + b, 2a + 3b, lal, and la - bl. a = i +3j - 4k, b = -3i -j + 6k a+b= 2a + 3b = |a| = |a - b|…

A: Given vectors  a = i + 3j - 4kb = -3i - j + 6k

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: Calculate (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

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Q: 3x-6y+6z=-5 -2x+3y-5z=7/3 x+y+10z=3

A: 3x-6y+6z=-5  -2x+3y-5z=7/3  x+y+10z=3we have to solve this equation for x,y&z

Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

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Q: Let à = 27 - 5j + 4k and b = − − 5j + 4k. Find -a + b. -ā +b =

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Q: 3 - 2 If A = 0 4 1 then the cofactor C23 = -2 3

A: We can find the co factor as below.

Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

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Q: 2x- 3x-2 6x + 3x? + 2x+1 2x- 3x-2 6x + 3x + 2x+1

A: Explanation of the answer is as follows

Q: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b2​2​​ + 3y + 5 B 8b2​2​​ + 9bb + 5y C 8b2​2​​ + 9by +…

A: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 = ?

Q: Calculate (5xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

A: Given

Q: Find å + B, 2å + 35, |äl, and |ä – | for å = i + 2j – 3k and b = -2ï – j + 5k.

A: solution:-a→=i→+2j→-3k→b→=-2i→-j→+5k→(1)a→+b→=i→+2j→-3k→+-2i→-j→+5k→         =1-2i→+2-1j→+-3+5k→…

Q: Find the values of x, y, and z. (r y– z z+3) +(y 4 3)=(4 8 16) A x = 3, y = 9, z = 6 B) x = -3, y =…

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Q: If w= = 3/4x

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Q: Calculate (7xy + 5e²) d.S, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0,4, 1).…

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Q: Which equation passes through the points (3,4) and (6,9)?     y−9=5 over 3(x−6)   y+9=3 over 5(x+6)…

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