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Recent questions in Polynomial arithmetic

coexpennan 2020-12-30

Indicate whether the expression defines a polynomial function. $g (x) = - 4 x^{5} - 3 x^{2} + x - 2$ polynomial or not a polynomial If it is a polynomial function, identify the following. (If it is not a polynomial function, enter DNE for all three answers.) (a) Identify the leading coefficient. (b) Identify the constant term. (c) State the degree.

Lipossig 2020-12-29

An option on land in Alaska was bought by an oil company. The following prior probabilities were assigned by preliminary geologic studies.
$P P (high-quality oil) = .50 P (medium-quality oil) = .20 P (no oil) = .30$
a. What is the probability of finding oil?
b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test follow.
$P (soil | high-quality oil) = .20 P (soil | medium-quality oil) = .80 P (soil | no oil) = .20$
How should the firm interpret the soil test? What are the revised probabilities, and what is the new probability of finding oil?

he298c 2020-12-29

a) Use base b = 10, precision k = 4, idealized, chopping floating-point arithmetic to show that fl(g(1.015)) is inaccurate, where $g (x) = \frac{x^{\frac{1}{4}} - 1}{x - 1}$ b) Derive the second order (n = 2) quadratic Taylor polynomial approximation for $f (x) = x^{\frac{1}{4}}$ expanded about a = 1, and use it to get an accurate approximation to g(x) in part (a). c) Verify that your approximation in (b) is more accurate.

Bevan Mcdonald 2020-12-28

An experiment on the probability is carried out, in which the sample space of the experiment is
$S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 .$
Let event $E = 2, 3, 4, 5, 6, 7, e v e n t$
$F = 5, 6, 7, 8, 9, e v e n t G = 9, 10, 11, 12, a n d e v e n t H = 2, 3, 4$ .
Assume that each outcome is equally likely. List the outcome s in For G.
Now find P( For G) by counting the number of outcomes in For G.
Determine P (For G ) using the General Addition Rule.

SchachtN 2020-12-25

Polynomial equation with real coefficients that has the roots $3, 1 - i is x^{3} - 5 x^{2} + 8 x - 6 = 0.$

Albarellak 2020-12-24

Given the first three terms of an arithmetic progression as $2 x, x + 4 a n d 2 x - 6$ respectively. Find the value of x and then give the first five terms of this arithmetic sequence.

tabita57i 2020-12-24

For Exercise, determine if the nth term of the sequence defines an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic, find the common difference d. If the sequence is geometric, find the common ratio r. $a_{n} = 5 \pm \sqrt{2 n}$

geduiwelh 2020-12-21

Parametric equations, polar coordinates, and vector-v

Yulia 2020-12-17

For each of the following sequences: @ identify if the sequence is arithmetic, geometric or quadratic’. Justify your response. @ assuming the first item of each sequence is a1, give an expression for aj. (In other words, find a formula for the i-th term in the sequence). @ if the sequence is arithmetic or geometric, compute the sum of the first 10 terms in the sequence $i 2, - 12, 72, - 432, 2592, . . .$
$i i 9, 18, 31, 48, 69, 94, . . .$
$i i i 14, 11.5, 9, 6.5, 4, 1.5, . . .$

sibuzwaW 2020-12-16

What is an example of a real-world scenario that involves a sequence. Define the sequence in three different ways. Determine if the sequence is arithmetic, geometric, or neither.

ruigE 2020-12-16

c. Let $f (x) = \frac{e^{x} - e^{- x}}{x}$ .
The actual values values is $f (0.1) = 2.003335000$ . Find the relative error for the values obtained in parts (b) and (c)

tinfoQ 2020-12-15

An arithmetic sequence whose first term is 2 has the property that its second, third, and seventh terms are consecutive terms of a geometric sequence. Determine all possible second terms of the arithmetic sequence.

Tahmid Knox 2020-12-15

(a) To calculate: How to rewrite any polynomial without powers of x. (b) To calculate: The relation betweeb the new form to synthetix division and the remainder theorem.

amanf 2020-12-12

Is the sequence $- 2, - 1, - \frac{1}{2}, - \frac{1}{4}, \dots$ geometric? If so find the common ratio. If not, explain why

Tazmin Horton 2020-12-09

Determine whether the following state-ments are true and give an explanation or counterexample.
a) All polynomials are rational functions, but not all rational functions are polynomials.
b) If f is a linear polynomial, then $f \times f$ is a quadratic polynomial.
c) If f and g are polynomials, then the degrees of $f \times g$ and $g \times f$ are equal.
d) To graph $g (x) = f (x + 2)$ , shift the graph of f 2 units to the right.

Maiclubk 2020-12-05

b. Let $f (x) = \frac{e^{x} - e^{- x}}{x}$ .
Use three-digit rounding arithmetic to evaluate f(0.1).

Rivka Thorpe 2020-12-03

1. Is the sequence $0.3, 1.2, 2.1, 3, . . .$ arithmetic? If so find the common difference.
2. An arithmetic sequence has the first term $a_{1} = - 4$ and common difference $d = - \frac{4}{3}$ . What is the $6^{t h}$ term?
3. Write a recursive formula for the arithmetic sequence $- 2, - \frac{7}{2}, - 5, - \frac{13}{2} . . .$ and then find the $22^{n d}$ term.
4. Write an explicit formula for the arithmetic sequence $15.6, 15, 14.4, 13.8, . . .$ and then find the $32^{n d}$ term.
5. Is the sequence $- 2, - 1, - \frac{1}{2}, - \frac{1}{4}, . . .$ geometric? If so find the common ratio. If not, explain why.

sodni3 2020-12-03

Solve the given information Let $f (x) = \sin x .$ Determine an error bound for the approxiamtion $f (0.34) = \sin 0.34 .$ and compare it to the actual error.

smileycellist2 2020-11-30

Detemine whether the given sequence geometric or neither if the sequence is srithmetic, find the common difference, if it is geometric, find the common ratio.
If the sequence is arithmetic or geometric, find the $\sum of {{(\frac{5}{8})}^{n}}$

foass77W 2020-11-30

The general term of a sequence is given $a_{n} = 2^{n}$ . Determine whether the sequence is arithmetic, geometric, or neither.
If the sequence is arithmetic, find the common difference, if it is geometric, find the common ratio.

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