Question 7 A A) 4tan-1 (즐) + e 8 In |z? - 4| +e B | 2 In 2 Im | +e 2 In |z + 2| + 2 1n |z – 2| + c

Q: ( 11 ) Σ n=1 (2n+3)!'

A: The given series is

Q: Question 9 xdx Evaluate: 5+x? 21n(x²+5) +C In(Vr²+5) +C O In(x²+5) +C E None of the given choices

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Q: Question 32 1 Point :/ (212- 4x +4) dr 2r² – . Evaluate: (А) 14 (в) 12 32 3 38 3

A: Using integration formulas we will evaluate the given integral as shown below

Q: Question 2 Show that P.() = %3D 2n+1 IM:

A: To Show : Show that ∑n = 0∞12n+1Pn12 = 13

Q: Question 6 Compute comPpa given a = (2,0,- 2) andb=(0,-3,4>. %3D

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Q: Question No : 14 of 26 If A=(1,-1) then the number of elements in AxA are Answer (Please select your…

A:

Q: Prove that if gcd(a,b)=1 then gcd(a+b,ab)=1.

A: Given, gcda,b=1 Let, d=gcda+b,ab This implies, da+b and dab This gives, dba+b⇒dab+b2Since,…

Q: Question 8 If and then find 2 1-[-²3 -[] B= AxB 4

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Q: #13 ailacid are wombns. if der )=2, #13 aibacıd are nmberg. If det =? A)-2 B)2 C) -4 D)4 E) None…

A: Given

Q: 21-I xdydr =?

A:

Q: QUESTION 1 State by True/False: 3a e Z, V beZ a+b=2 O True O False

A:

Q: Quèstion 8 If det A = - 4, det B = 2, then det B2A1 = %3D -16 O -8

A: We know that  Det(A^-1)=1/det(A) Det(A^n)=(det(A))^n Det(AB)=det(A)det(B)

Q: 20. Algebra mZOZP = 4r+ 2, MZPZQ = 5r - 12, and MZOZQ = 125. What are m2OZP and MZPZQ? %3D

A: In this question we have to find m∠OZP and m∠PZQ

Q: QUESTION 1 Ifliafix) -3 and Linf) - F5) -5 -5 -4, then f5): x-5 O annar be denermined. O equals 3 O…

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Q: Question 1 Is it possible for one of (oA) A 0 and o A ( e) to be true and the other false? No, they…

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Q: Can you please answer question 4 a,and b please show work.

A: Question 4) (a) We have to sketch the graph of the following function -  y = 14x - 2

Q: What element corresponds to (2,3) of (A^T) x (B^T)? What element corresponds to (3,1) of (AxB)^T?…

A:

Q: (b) If = 1, show that i=1

A: We will use Arithmetic Mean (AM)and Geometric mean(GM) inequality  to prove the given results…

Q: Question 37 Evaluate: fo So So (r + y + z) dzdydz O 1/4 O 1/12 O 1/8 O 1/24

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Q: EcO = 1, then o c =(htnt e* =) O true false

A: In the given problem,

Q: Question #18 Consider the expression shown in the box. 3(x + y) + 4z -3w -(x + y) Which…

A: Given, The expression   3x+y +4z -3w -x+y  We have to find the equivalent expression of the above…

Q: Show that if l a - 5 I < ½ and l b - 8 I < ½, then we can conclude that l (a + b) - 13 I <…

A: Given that a-5<12   and   b-8<12. This implies that,

Q: Question 12 Provide an appropriate answer. Find when r = 4 and s = 3 if w(x, y, z) = xz + y, x = 5…

A: We will put the values of x,y and z in w(x,y,z) to convert w in the terms of r .

Q: -10 If AXT = B, then X= Let A = %3D 0 2

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Q: If a1 5 and an an-1 – 4 then find the value of af. %3D %3D

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Q: 38) - con A) 0 sec B) 5π T, 13л 5т D) 0 3 12 12

A: Find the value of x which satisfy sec(x/2)=cos(x/2)

Q: QUESTION 6 Given a =a п п-1 + 2a n -2 with a=2, a,=7. 1 What is A and B if a =A2" +B(-1)" 3 and - 1…

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Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

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Q: tcashat) An Frs)=In (1+) 3 A (-

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Q: 6. B;? Let B; = [i – 1, 2i + 1]. What is U i=1

A: We will just use the definition of closed intervals of the real number line and the definition of…

Q: Question 3: Find A-', using "super-augmneted ma- trix" if [3 1 -17 A = 5 2 1 1 -1 then check your…

A: The given matrix is A=31-152   011-1 We have to find A-1 by using "super-augmented matrix" .

Q: Question 9 Is 2n² + 12n + 18 equivalent to (2n + 6) (n + 3)? True O False Question 10 Is 12n + 18…

A: Note - ( As you asked multiple questions , According to our guidelines we will answer first three…

Q: Question 3 a b Let C d ba --4, then d c ? %3D

A: Given that: abcd=-4

Q: 3. Let A, BE M2(Z3) be given by [1 2] B 0 2 A = 1 Find AB, BA, and A? (recall that A2 = AA).

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Q: Part Iū Proue that if 4aj + 5 b; a;za and bj then Hat 5b

A: I am providing the solution of part (IV) below.

Q: 4i then what is Re(

A: Given: z=3+4i. To find: Rezz¯.

Q: 3 1 If A = show that A²- 5A + 7I = 0. %3D -1 2

A:

Q: (Chapter 3.2. Ex.# 49) Show that if fi(x) is O(g1 (x)), f2(x) is O(92(r)), and f2(r) # 0 and g2(r) #…

A: Given: If f1x is ⊝g1x, f2x is ⊝g2x, and f2x≠0 and g2x≠0 for all real numbers x>0.

Q: 3 If A = 1] show that A² - 5A + 7I = 0. %3D %3D -1 2

A:

Q: Question 1-25 25xs y -4 Which expression is equivalent to O 5x3 y" 5y6 2 2 6. 2 5x 3 < Previous O…

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Q: A (0, 8) В (4, -12) С (9, -1) D (-8, -8) Е (1,-3) F (3, 5) ULLV 1. Identify the component form of…

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Q: 8-10. Evaluate: 1 (a dz (5-z)2

A: #10(a) solve intregal

Q: Question 2 (15)! (5)!(10)! If C(15, r) = then the value of r = 5 and 10. True False

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Q: QUESTION 54 YT TX If TV || XZ in AXYZ, then YV VZ V O True False QUESTION 55

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Q: Question 4 Solve following system of equations of non-negative integers using methods of Commutative…

A: In this question,  We solve the system of non homogeneous equation .

Q: 17. 18(0+r) + sa tan-'(}) +C

A: In the given expression it is seen that first term is in 'u/v' form therefore can apply rule of…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.