FizeauV
2021-03-18
Answered

(a)To calculate: The value of P(2) without a calculator using both forms of the polynomial.The value of P (2) is 236.(b)The least amount of arithmetic operations was performed in (c) usingHorner's method.

You can still ask an expert for help

hosentak

Answered 2021-03-19
Author has **100** answers

(a) Given: A fourth-degree polynomial in x such as

asked 2021-03-02

Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci, and O if it is not one of the mentioned types. Show your Solution.
a. $\frac{1}{3},\frac{2}{9},\frac{3}{27},\frac{4}{81},...$
b. $3,8,13,18,...,48$

asked 2022-03-21

Looking for help understanding the asymptotic expansion of the digamma function

I was recently given an example using this asymptotic expansion of the digamma function where:

$\frac{d}{dx}\left(\mathrm{ln}\mathrm{\Gamma}\left(x\right)\right)=\psi \left(x\right)\sim \mathrm{ln}\left(x\right)-\frac{1}{2x}-\frac{1}{12{x}^{2}}$

Here's the example:

$\frac{\psi \left(\frac{x}{4}\right)}{4}-\frac{\psi (\frac{x}{5}+\frac{1}{2})}{5}-\frac{\psi (\frac{x}{20}+\frac{1}{2})}{20}\sim -\frac{\mathrm{ln}\left(4\right)}{4}+\frac{\mathrm{ln}\left(5\right)}{5}+\frac{\mathrm{ln}\left(20\right)}{20}-\frac{1}{2x}-\frac{11}{8{x}^{2}}$

I'm unclear on the following points:

What happened to each x term?

Why is the first term negative and the rest of the terms positive? Why isn't the signs of the original terms would be preserved?

I would have expected something like this:

$\frac{\mathrm{ln}\left(\frac{x}{4}\right)}{4}-\frac{\mathrm{ln}\left(\frac{x}{4}\right)}{4}-\frac{\mathrm{ln}\left(\frac{x}{4}\right)}{4}-\dots$

How is$\frac{11}{8{x}^{2}}$ being determined? Why does $-\frac{1}{12{x}^{2}}$ change but $-\frac{1}{2x}$ stays the same?

Sorry for the elementary questions. The explanation will really help! :-)

Thanks,

I was recently given an example using this asymptotic expansion of the digamma function where:

Here's the example:

I'm unclear on the following points:

What happened to each x term?

Why is the first term negative and the rest of the terms positive? Why isn't the signs of the original terms would be preserved?

I would have expected something like this:

How is

Sorry for the elementary questions. The explanation will really help! :-)

Thanks,

asked 2022-01-31

How do you combine $({x}^{3}-x-4)-({x}^{2}+x-4)$ ?

asked 2021-11-06

Evaluate $\mathrm{log}}_{580$

asked 2021-11-10

Solve $\mathrm{log}}_{4}x=\frac{5}{2$

asked 2020-10-27

Average: Basic Understanding and PropertiesToday I'm going to start a new topic of quantitative aptitude i.e. Average. It is a very simple topic and just involves simple mathematical calculations. Average concept has various applications. I will discuss its applications in next session. Firstly I will try to make you understand the basics of this topic.

asked 2021-01-19

Suppose A = QR is a QR factorization of an $m\times n$ matrix A (with linearly independent columns). Partition A as $\left[{A}_{1}{A}_{2}\right],where{A}_{1}$ has p columns. Show how to obtain a QR factorization of $A}_{1$ , and explain why your factorization has the appropriate properties.