Let ā = (3, −7, 6) and b = (4, 4, 8). b) b) x (a + b) a

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: m³ ² m² 771 A) m10 26 B mx? 211 p2 D m² x²

A: m5 ●x2 ●m4 / m2 = m9 ● x2 / m2

Q: (42x² – 33) ÷ (7.x + 7)

A: We have to solve                           42x2-33÷7x+7

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A…

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

A:

Q: If 9(x) dr = a + 2b, find A. a+2b+3 B. 56-2a C. 4a-b D. 4a+5b E. 26-2a B ОЕ Question 10 \9(x) + 3)…

A:

Q: Find the value of x. 2) 3), (x + 9) (4x + 2) 58 147 4) (4x + 1) (11 + 2x)"

A:

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

A:

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: Cx-3) Gょ2)tG3)

A:

Q: Let f, g: R - [-1, c0) be functions given by f(x) = x – 3 and g(x) = 2x? – 1 then which one of the…

A:

Q: IEvaluate Ax)-2x+3x-4 A) x-3 B) x-h+/

A:

Q: 9=a(0)2+b(+c 17-a(82+ b(8)+C 18=a(18)2 +b(18)+C

A: Solve the equation to find a,b,c

Q: If 3x - 6y = 8 , then x - 2y = A) 4 B) 3 C) 2 2/3 D) 5

A: A detailed solution is given below.

Q: ((6 – 9) - 3) + ((-8) +(-1) + 6)

A:

Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

A:

Q: lAcOs3x+B sin sx) この

A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

Q: d) √23-√37 √23+√37

A:

Q: x³ +x² +x+7 x² – 1

A:

Q: a) 2x + 5 > 4x – 3

A:

Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: Jse the following functions to evaluate the next five problems. f(x) = 5x² + 3x h(x) = 2x + 7 %3D a)…

A:

Q: 7. Simplify and evaluate. (2x³y²)³ a) (x’y (9y)? b) for y=-2 (3y*)

A: Given: a)2x-3y23x3y-42b)9y23y-13

Q: If n(A U B) = 96 and n(A) = n(B) = 69, find n(A n B).

A: Let A, B be sets and n(A), n(B), n(A∪B) be the cardinality of the sets A, B and A∪B respectively. It…

Q: L. (4 - 5)}(4 + + 2x° + 3x + 4x + 5) 4+ 6x + 6x + 4x°) dx |

A: we have to evaluate:

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

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

A:

Q: If A={1,2} and B={a,b,c}, find: I. A*B II. P(B) III. n(P(A))

A: A={1,2} B={a,b,c} A*B={(1,a),(1,b),(1,c),(2,a),(2,b),(2,c)}     2)P(B)={…

Q: If 2x2 + 6x = 36, what are the possible values of x ?

A: Given,         2x2+6x=36

Q: x2 - 2x+5

A: here we will evaluate given intigral,

Q: 3. State the GCF of each pair of terms. a) 6x and 10x b) 154³ and 20² c) ab and a²6² d) -2x¹y¹ and…

A:

Q: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse