3. Let A = {1, 2, 3}. What is |A|?

Q: Then A-1 If A = 5 1 -16 -3 0 0 0 -1 0 w 00+ 4 -13

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Q: 74. Prove that for any real numbers a and b, |b − a|=|a − b|.

A: Given; a and b are any real numbers Consider, L.H.S=b-aWe can write it as,=b+-a=-1-b+a=-1a-b…

Q: a a +1 2² (² + ¹ + x² = 1 [(¹-x)² + (1 + x)² ] F1 2 2 2

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Q: X* +39

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Q: Q7. Show that 2F₁ (1,2; 1; -x) = In(1+x) x

A: Step 1:Step 2:Step 3:Step 4:

Q: 1 which of the following is equivalent to 2x-4 O B. -4x²+6x + 5 0 4x²-6x-5 >0 E. 4-2x

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Q: Ex(30) and fYx show that of - Ix Exlz0)& Lekf:Xy be fIxYbe be it is

A: Introduction: The function f(g(x)) or (f ∘g) represents the combination of functions f(x) and g(x),…

Q: Ex. Show that [b, c) ~ [a, o), where a, b, c ER and b< c. [H7-9]

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Q: Evaluate: [; 1 1+x+|x| dx

A: To evaluate the given integral

Q: Is that a < or a c?

A: It is a less than symbol "&lt;" . Kindly find the clear solution of that problem here.

Q: 8. Let a, b and c be any positive real numbers. Prove that b² + c² a²+b² 2c a² + c² + 2b 2a > a+b+c.

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Q: Is it possible to find a number  n  such that is ∫0∞  xn dxconvergent?

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Q: Z

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Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: 20. Let B; = {x eR|0< x < i} for all integers i = 1, 2, 3, 4. a. B1 U B2 U B3 U B4 =? b. B1 N B2 N…

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Q: 5 25 1+2+20+20+ 4 16 64 an = ||

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 上耳 7. 2 2 J ancd Re, .3 4 . 3 find p+Rt[tP+P}+R]+ [P+ (@+R}]reR

A: Given P=2316, Q=1234 and R=1231 1) Q+R=1234+1231         =1+12+23+34+1         =1465 2)…

Q: 19. Which of the following properties of Real Numbers is NOT true ? * a. Vx ER, x+0 = x b. Vx, y, z…

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Q: Solve Soive X >0 X+2

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Q: Write the following into symbols. D: all creatures P(x) = x is a bird Q(x) = x is beautiful Some…

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Q: Is X and Y are independent

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Q: :Find values of x if 2 1 2 = 0 1 2 13 6.

A: Let the given matrix be A, Given, |A| = 0

Q: 3. Find all r so that r-1+r-2| < 5.

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Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

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Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: 3. Show that 1 > 0. 4. Show that if a > b and c < 0, then ac < bc.

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Q: [3 3 For 3-5, let A= and B=| 3.) Calculate || (A,B)||| 4.) Calculate||(A, A)|| 5.) Calculate||(B,…

A: We have,

Q: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: 5. Which of the following is the value of 7-x+3 when x= -20? (1) 7 (2) 9 (3) 10 (4) 16

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Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: Let . Compute Ilü||?. 7

A: Given query is to find the Indicated vector operation

Q: Let A = {h,1,o}, B = {7,8), C = {7}. AXBXC = { CXBXA = { BXBXB={

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Q: 2. Determine all values of x - y when x and y are integers such that x = 360 + y².

A: The given equation is. x2=360+y2x2-y2=360x+yx-y=360 Since it is given that x and y are integers, so…

Q: c) Given that x 5 wher

A: The given differential equation is eydydx=2x-4 .....................(1)  It is also given that, x=5,…