Lot f be ertine Rnd K be a positive integer Suppose that there are M70 and e7o ouch that 15(e)

Q: If æ is an irrational number, then it is the case that sup{q E Q : q< x} < x.

A:

Q: It is given that (²1) = 4, (3) k 2 -(" + ²) Write and expression for = B, (x+1)= = C (where n, k, A,…

A: Use the properties of combination.

Q: m(m-1) 2. 2. in E an mfm-l) n-i mintl) 8. 2. how can get rid of I only m (m-i) remavn so that with…

A:

Q: - 25 -dr (x – 4)(x + 1) Evaluate

A:

Q: 4. Knowing that 1 + 3 + 5 + …+ (2n – 1) = n², find 1++3 +5 + .…+ 135 =

A: Solution :   Given that  1 + 3 + 5 + ... + (2n - 1) = n2    -----(1)

Q: 5) Suppose that W1 < R" and W2 4 R". Prove (W1 n W2) < R"

A:

Q: a. (f+g)(-4)

A:

Q: e) There are two numbers, n = C orn = D, where C < D and f"(n) = 0 or f"(n) is undefined. Find C and…

A: Differentiate f(x)=x25(x-10) with respect to x using the product rule of differentiation to find…

Q: 1. Plot each of the following polar coordinates:

A: Given, To plot (5,5π3) and (2,-5π4)

Q: Lise a direct proof to show "fx's odd and y is even, anen x+1s odd."

A: The given statement is: "If x is odd and y is even, then x+y is odd" Result: Any odd number x can be…

Q: - 5. Prove that an integer n is odd if and only if n° – 3 is even.

A: Answer

Q: Let a, b and c be integers that satisfy 1 1 1 - - - - a b C |(A) 2022 (В) 2025 Find one possible…

A:

Q: 37. (1 + /9 – æ²) dæ -3 Answer 9 3+ 4

A: sin-1(0) = 0 sin-1(-1) = -π2

Q: 4x-100 over 10 minus 15-x over 5

A:

Q: (P5, Page 16; Suppose that the number a se Proof bw C Prove that a <0 (You may have to

A: Introduction: Proof by contradiction (also known as indirect proof or the method of reductio ad…

Q: Which of the following is a false statement? OnC, = r!, Pr r!n Pr a combination is an arrangement of…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.