(a) Determine

Q: Which of the following is equivalent to (13a b)²a*? 3 A 1362 169a b2 13a b? 169a20b2 169a b

A:

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

A:

Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

Q: 3. Integer Representation (48)10 = D16 (67)8 = C D10 = C D16 (4F)16 = C D10

A: For  (48)10 Hence (48)10 = (110000)2 = (60)8 = (30)16

Q: Use the set A = {2} to determine n(A). n(A) =

A: We have given a set  A=2 Number of elements in set A is 1. nA=1

Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: 4. Evaluate 1 2 2 ||(2x+3y +z)dxdydz 0 1 1

A:

Q: Non- Hispanic Non- Hispanic White (W) Black (B) Non- Hispanic American Indian (I) Non- Hispanic…

A: Given table:b) B∩FIts the intersection of set B and F.From the table we have: B∩F=158 thousand…

Q: Evaluate J S S dydx. r4x Jx2

A: To solve this question first integrating with respect to y and plug in the limit then integrate with…

Q: d) Calculate (g o g)(3)

A: given,

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

A:

Q: [1 -2 3 3 4 12 -1 -21

A: Given : Matrix  1  -2  3 3  0   4 2  -1  -2

Q: O Determine rand s so that, 3.

A:

Q: Evaluate s(s³ – 4) ³ -4) 3 ds Vs –10s² + 6 99. |

A:

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: dx Evaluate: ²+4 x² + 4 – 4 + C +4 +4 | A In B None of the given choices in V x2 +4 - 2 + C C) x² +…

A: To evaluate: ∫dxxx2+4

Q: (e) ap: (2² – 8)5

A:

Q: dr I4 +3

A: Consider the given integral. I=∫x3x4+3dx

Q: If A ,B are independent then P(ANB) = P(A)P(B) Select one: O True O False

A: From the provided information, The events A and B are independent.

Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

A:

Q: 2. Find (w + 1)(w-w+1).

A:

Q: Find det(4). 1 2 2+a 3 3 3+a 3 4 4 4+a,

A: Remark:  Interchanging two rows or columns causes the determinant to switch sign. If we multiply a…

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Compute r2

A: Given the calculated values, t value, t = 2.17

Q: Expand the following: (3q-q-¹)² (q²) O a. 9q²-q-² O b. 9q4-6q² O c. -9q²-6q²

A:

Q: (a) | V3 +1 dr

A:

Q: Evaluate x +3 (x – 1)(x² + 25)

A:

Q: Find 1 L L 0 0 (3x + 2y) dxdy

A:

Q: Evaluate L{- (s2+ 64) (s – 6) |

A:

Q: 4 et D be the third row of the inverse of 2 2 2 31 2. What is the sum of the ...

A:

Q: xp áp (** + 1. y+1 x2+1,

A: Changing order calculate the integral:  ∫14∫12xy+1+xx2+1dydx=∫12∫14xy+1+xx2+1dxdy…

Q: The following table gives the number of American households (in millions) with cable TV in year t.…

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