Prove that f-1 of = Idom f iff f-1 is a function from ran f to dom f.

Q: Find the term indep of I in the expansion of 7 文(古一警」 3 S ping to 'TE "ittle tr week

A:

Q: Evaluate V3( + )] 10 2

A:

Q: Calculate C(12,5) by hand. As C(n,r) = n!/(n-r)!r! identify n and r, and write out every number in…

A:

Q: Justify the equations in either by deriving them from formulas.

A:

Q: Suppose that A, B, C, and D are digits from 1 to 9 and that A + B = CD (a) What digit must C be?…

A: Given that  A, B, C and D are digits from 1 to 9 such that  A + B = CD   (a)  If 1 ≤ A, B ≤ 4 then A…

Q: Prove by mathematical induction that for each natural number n 27, n! > 3"

A: Steps to perform Mathematical Induction: 1) Consider an initial value (say n = 1) for which the…

Q: In how many ways can ten keys be put on a key ring? 10! 10!-10 10!/2 2-10! 10!/10

A: Answer is 10!/10. Last option is correct.

Q: d) an = 1 2² +1 ( ² + + - ₁ - ¹ ( ² ) ) n² + 1 2 1² + 1 + + 2 3² +1 + 1 4² +1 + ...

A:

Q: 2) find I oP frthe following Aable 14 XI 5 3 fi 16

A: To find: The Interquartile range. IQR = Q3 - Q1

Q: + 220 + 330 + 440 + 550 + 660 (

A:

Q: Let W be a subspace of R", and let W- be the set of all vectors orthogonal to W. Show that W- is a…

A:

Q: Findy Sytil It 3 15 = 3 (mod 17)

A: Given that: 35y+11≡315(mod17). To find the value of y is obtained: mod of a number is obtained by…

Q: Prove that Leonardo's congruous numbers are always divisible by 24.

A:

Q: How many unique codes are possibly formed from two characters, where the first character can be 2 to…

A:

Q: On Z*, a + b = a b =Dc

A: Solution

Q: Prove that 3:8 is equivalent to 12:32

A: According to the question, we have to prove that the ratio 3:8 is equivalent to 12:32. A ratio is a…

Q: 75 (mod 46)

A: Take a number and modulo with 46

Q: QUESTION 9 Use the contrapositive method to show that for any integers a and b, a+b≥13 implies that…

A: In this question, we have to prove that for any integers a and b,  a+b ≥ 13 implies that a≥7 or b≥7…

Q: Determine if the statement is an "inclusive or" or and "exclusive or" A password must have at least…

A:

Q: If a = 17 (mod 3), then what is the remainder of a when divided by 3? Enter the numerical value.

A:

Q: X = 17 (mod 21) X= - ) 8 Cmod 25

A:

Q: Determine whether 65 is congruent to 11 module

A:

Q: x+2 a) x²+10x+16 x²+12x+35 b) x+5 2х-8 х-4 c) 2х-6 X-3

A:

Q: Prove that 80

A: Let An=-1n,2+1n and A=∩n=1∞-1n,2+1n=a,b Since, Ai⊃Aj whenever j<i, we can find A by simply taking…

Q: why do we assume a|b and prove that way instead of ac|bc and prove back to a|b

A: why do we assume a|b and prove that way instead of ac|bc and prove back to a|b .

Q: A number with 4 digits is formed from the digits 0, 3, 6, 7, 9 without repetition. How many numbers…

A: Total numbers = 5 Since the 6 and 7 are placed next to each other consider them as a single number.…

Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

A:

Q: Which answer represents this? о о о -1 О 5 4 1 6 -1 3 3 4 -1 -1 7 5 3 4 -1 -1 7 3 -1 -1 -1 5

A: The two lines of numbers provided are:First line: 5 - 7 - (6, 1)Second line: 4 - 3 - 2From this…

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that has a power series…

A:

Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

A: Given, the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one such…

Q: How many three digit passcode can be made from the digits 0-9in the first number is not allowed to…

A:

Q: If 3x = 6 mod 9, when -2 <x< 8. Then O x=(-1, 3, 5} x=(-1, 2, 5} O x=(-1, 2, 3} O x=(-1, 5, 6}

A:

Q: 237 (mod 10)

A: We use the definition of a (mod b) to find the value of 237 (mod 10).

Q: 7x =4 (mod 12).

A: