Find |A|, IB|, AB, and |AB|. 4 -4 A = 1 B 16 -4 0 -2 (a) |A| (b) |B| (c) АВ (d) |AB|

Q: Evaluate r2 ff dyda.

A: Given itegration ∫-12∫x2-2x   dy dx

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: Show by an example that (AB)" B™A".

A:

Q: 3. Write the number as the product of a real number and i. a. √-144 b. √-45 C. √-8 d. -23

A:

Q: An acute angle, 8, is in a right triangle such that sin 8. 10 10 5 6 1 What is the value of cot 8?

A: The acute angle θ is in right angle triangle such that:sinθ=56

Q: The symbol for similar is . O True O False

A: We have to check the symbol for similar is ~.

Q: Let a = (-5, 5, 4) and 6 = (-1,-4, 5). (a) a × b x (41,-21,24) x (b) b × ā X = (c) (ã × b) × ã = (d)…

A:

Q: Find x, and x2- -52 28 -5 5 X2 40 X =

A:

Q: Remainder must always be either less than or equal to the divisor. true or false

A: Remainder must be either less than or equal to the divisor . The above statement is true .

Q: Let a, b, c ∈Z+.    If  a | b and a | c then a | ( b + c )  true or false?

A: Use the definition of divisibility, to express b and c in terms of a. a|b⇒b=maa|c⇒c=na Therefore,…

Q: For any integer a, show that a²-a+7 ends in one of the digits 3, 7, or 9.

A: For any integer a , we have to show that a2 - a + 7 ends in one of the digits 3 , 7 , or 9 . Note…

Q: If a = (3, –3, –10) and b = (-8, –4, –10) find a · b =

A:

Q: Let A = 1 1 1`1 1 1 1], B= CD c=H₁ 1 1 Which of the following expressions is NOT defined?

A: we need to find which of the given expressions is not defined.

Q: P(R2 | A3)= P(Not(R2&A2))=

A: Based on the given info,  PR2∩A3=19390                      =0.0487 PA3=118390           =0.3026