Consider the bases A and B of R³ given below. 1 A = 3 1 B 1 If (x]A 6 , what is [x]B? -2 6 -2 10 -6 8 -8 4 7 3 -3 2.

Q: The product of2r - 3 and x +4 can be expressed as A) 2r2 +x - 12 C). 2r2- 12. D 2r2 + 5x - 12 B)…

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Q: 2 -u²+1 du

A: Here we have to find the value of the integral : ∫1-u2+1 du

Q: Factorise compbtey 1601P + 1ow 2. 8208 +20z? +44x5

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Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

Q: L[sih bt) 2.

A: From the definition of Laplace, L(f(t))=Fs=∫0∞fte-stdtSo,L(sin(bt))=∫0∞sin(bt)e-stdt Let,…

Q: d – 2g f – 2i 3c -а + 4g -b+ 4h -с+ 4il е — 2h 3b a b с Let |4| = |d e f = 2 and B = За g hi

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Q: 3a Simplify 2a +5 Select one: O a. O b. O c. O d. a +6 9a a+2 5 2a +5, a = 0,2 a +6 6a +15, a = 0,2…

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Q: Evaluate. 5. 1)? X(X dx 1 5. 2. x(x² 1)2 (Type an exact answer.) I3D

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Q: In AABC, DE || BC, find x. x+2 D. 6, E x+1 C 2.

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Q: Prove the identity |a − 3b|^2 + |3a + b |^2 = 10|a|^2 + 10|b|^2

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Q: Find the adjoint of the operation B = 2|0 × 1|- ; | 1 ×o |

A: This question asks to find the adjoint of the operation B^=2|0×1|-i|1×0|.

Q: a z+5y a a 10y+16z (Note: r, y are real numbers) O a2ly–11z O a 17z+15y O a 15y–16z O a 15y-15z O a…

A: We have to simplyfy

Q: *(x – 1)² 2b If + bx b +C then the value of b is

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Q: 6. Find all tu roots for each espression. (a) (-2+ 2i) (b) (-3) (c) (2i)

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Q: 3 So² √(√₁² - ²√₁²³) ²³ a dt

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Q: Find the product, if possible. If not possible, write "BINGO", [5 10. Let A = 4 1 and C = 2 Го -31…

A: Given: A=5-110, B=-4112 and C=0-361

Q: Perform the indicated operations graphically . Check them algebraically 9)2+(3+4j)

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: let a=2+7i b=4-2i Choose the correct result of a/b O (6-361)/20 O (-6+361)/20 O (-6-36i)/20 O…

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Q: Evaluate [R(5xy + z²)dV, where B = [-10, 10] × [0, 1] × [0, 10]

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Q: a a + b Determine all values of a and b so that belongs to а 1 3 1 Span 1

A: We have

Q: Find the product. (x – 7) O x2 - 49 O a2 - 14x + 49 O r2 + 49 O r +14x + 49

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Q: N=3 3 and4i are zero

A: Explanation and solutions is given below....

Q: Reduce (1+j)?/(1-j) to the form a+jb. a. others b. -1-j С. 1+] d. 1-j е. -1+j

A: 1+j21-j×1+j1+j=(1+j)31+1=j3+3j2+3j+12=-j-3+3j+12=2j-22=j-1=-1+j

Q: Suppose that x, y and z are three positive numbers whose sum is 100 If P denotes the product of the…

A: Given,           Suppose that x,y and z are three positive numbers whose sum is 100.           Also,…

Q: √√3 2 6

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Q: 3+36X+14=13 Determine the number the ru Of real solbH fon

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Q: 2. If p = 41+2j – k, q = 6i+ 6j– 2k and 7 = -3i – 4j– 3k, evaluate a) q• (p- 2r) b) (r +g• p) c)…

A: Here we use formula of dot product of two vector, and addition, subtraction, multiplication of…

Q: Find A. A = = (2A)-1 1 1 || 4 [61] -4 11 6

A: Given  2A-1=6411 Inverse of a matrix X=abcd is given by  X-1=1ad-bcd-b-ca

Q: - Show that an = is monotone. n+2n+7 "}= •

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Q: Let 0 0 1 2 1 10 01 b₂ 2 -1 1 0 0 1 b3 Let x satisfy Ax = b. Which of the following is the…

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Q: 1. If a = 37 – 43 + k 2a - 36 a) 2 and 6 = -27+33 - k 7 b) a +56 express each of the following terms…

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Q: Compute Juxv if |u| = 6 and |v| = 7 and the angle between u and v is x.

A: We have, u = 6 v = 7 Angle between the vectors u and v is θ = π To evaluate: The value of u×v

Q: 7. Write each expression in the form of a+ bi -V-27 +5V- 81 – 343 – V64 b. -9--27-2-729 – V49 c. -3…

A: According to question given :(a) --273+5-81-3433-64We know that -27=-33,81=92 , 343=73,…

Q: 2. If ū=-27 +57-3k, then || is

A: We will find the value of u→ in the following step.

Q: Let u = 3 - i, w = –1+2i and z = 2 – 3i, where i is the square root of -1. What is (u + w)z? O 13…

A: Given u=3-i, w=-1+2i & z=2-3i To find (u+w)z

Q: let a a [^] +2 [a] = [2], then a = ?₁ 6 = ?

A: Given that