4. Prove that 2n³ - 7n + 1 = O(n³)

Q: Solve for u. 7 9- u+6

A: According to the question, we have to solve the expression 7u+6=-6 and find the value of u. An…

Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

A:

Q: 6tan(α)+9=8

A: The given function is 6tanα+9=8. Solve the above equation as follows.

Q: Section 1 - Question 2 Alice is deriving the formula for the sum of a finite geometric series. Her…

A: The given expressions are:Sn=a1+a1r+a1r2+a1r3+...+a1rn-1                     ........…

Q: 7

A:

Q: n² + 3n 2n² + 1 1 NIF 2

A:

Q: has its largest value. a = Find two numbers a and b with a ≤ b such that b= # # L (6-52 (6-5x-x²)…

A: Given integral is ∫ab6−5x−x213dx. We have to find the value of a and b with a≤b. The integral…

Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

A:

Q: (b) Prove that 32n²+1, for n ≥ 1.

A: The given inequality is 3n≥2n2+1, for n≥1. We have to prove this inequality.

Q: a) Prove that ε n(n+ 1)(2n + 1) Σ 6 i=0

A:

Q: 4[(b+f)-(c+r)][a (d+g)-(e+s)][(c+r)(d+g)+a(e+s)(b+f)] [((e+s) – (d+g))(a+1)] K ae ([(b+ f) – c] +…

A: Given, x1-Q=a(d+g)-(e+s)b+f-c+rc+rd+g+ae+sb+fa(e+s)…

Q: Theorem 5. Suppose that {xn} is the solution of the difference equation (1) and the initial values…

A: The equation given to us is as follows:…