Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B= 1 0 2 , C = 7 -8 0 1 2 0

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

A:

Q: Find [4x³ (In x)² dx. O A. 1.4 X x In²x + In x + O B. x² ln² x - ln x + O C. x ln x O D. x ln x X 2…

A: Note : according to our gauideline, i can solve oy first so please reroute the remaining question.…

Q: -1) nt2 3.

A: To evaluate:    Rewrite the given form in simplified form:

Q: A. y = -2(x – 4)² + 1 B. y = 2(x – 4)² + 1 C. y = 2(x + 4)² – 1 D. y = -2(x + 4)² – 1 7.

A: 7. A parabola can have equation of the form x=a(y-k)2+h. This parabola will have vertex at (h,k) and…

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: If M = 24a-2b-3c5 and N = 18a 7b6c-4, then =? M

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: 6. fx√4x+1dx

A:

Q: Q6. arg(-25(6i)®(-1- 1)*) = 27n а. + 2kn 2 b. 0 + 2kn с. 2 + 2kn 17n d. 2

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Q: Verify A(BC) = (AB)C, where 3 0 A = [¹, 3). B-² i 2). C= ² 1 01 0.2 = -3 1 1 1

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Q: Find a and b such that 2 1 20 = a 2 +b -4 -22 -1 a = b =

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Q: 2x +3 12. .2 x + 3x + 5

A:

Q: Simply by expressing in the form of a+ib. And 3/√6-√-12.

A: This is complex number. 'i' is the complex number such that i²=-1. The complex conjugate of 'a+ib'…

Q: If A= F 2 4 -2 3A-2B= 11 AT 4 2 -2 4 -2 and B -3 = -1 -1 -3 271 -2 2, then 4 0 and

A:

Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

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Q: 3 (=-2)* 2. Show that - = 00,

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Q: xdx Evaluate x2 + 2x + 1

A: The integral to be solved is . Since the integration is indefinite; a constant of integration is to…

Q: = B=( nds 2A – 38. Sean A %3D y B = Finds 2A 3B.

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Q: Find AB given that: 2 -4 170 A -35 11 and B- 0 -2 8.

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Q: 2n"-3x+2=o frcove 846 8ub +ga3 t8=0

A:

Q: Let ā 47- 57 and b - 27 + 3j + 4k. Find - 2ā - 36.

A:

Q: Sxvī - x²dx= Select one: 3 (x? – 1)i + c а. 3 O b. 글 (x2-1) +c Oc 글(1-x7) +c С. O d. (x² – 1). +c O…

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Q: Assume that 12 + 22 + · · · + n2 = an3 + bn2 +en + d. Find a, b, c, and d.

A:

Q: Determine: 1 (1 -1 2] [2 3] +0 1

A: given  1-124-1023+1001-1-1 solution we will use property of matrix multiplication and addition to…

Q: Suppose an = -3an-1 a1 = a2 = a3 = 2an-2+ 6an-3 and a4 = -17, a5 = 53, and a = -167. Find a₁, 92,…

A:

Q: MR=5(a+9) and MP=13a+42

A:

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Show that 14C5 x 5! = 14P,. %3D

A: Combination formula:Crn=n!r!(n-r)!Permutation formula:Prn=n!(n-r)!

Q: Exl show that 9dx (x²+4)² 97 16 H.W

A: Here we have to show the above integral.

Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR