1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikki [24]
3 years ago
11

Is this odd f(x)=X^3-X^2

Mathematics
2 answers:
Oksanka [162]3 years ago
8 0
No it is not I believe
Dmitrij [34]3 years ago
4 0

Is this odd f(x)=X^3-X^2

No.

You might be interested in
The distance between two cities on a map is 5.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers
sertanlavr [38]

Answer:

82.5 kilometers

Step-by-step explanation:

15×5.5= 82.5 kilometers

7 0
3 years ago
Rosie watches two television programmes. The first programme lasts 3/4 of an hour and the second lasts 2 2/3 hours. Work out the
Kitty [74]
Chi nlolm kg g t lol is we okay oop holon lol lol look o a S pad him or jjj hi I I look no poop ok i I upp r re you ain’t gotta g
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csf%5Clim_%7Bx%20%5Cto%200%20%7D%20%5Cfrac%7B1%20-%20%5Cprod%20%5Climits_%
xxTIMURxx [149]

To demonstrate a method for computing the limit itself, let's pick a small value of n. If n = 3, then our limit is

\displaystyle \lim_{x \to 0 } \frac{1 - \prod \limits_{k = 2}^{3} \sqrt[k]{\cos(kx)} }{ {x}^{2} }

Let a = 1 and b the cosine product, and write them as

\dfrac{a - b}{x^2}

with

b = \sqrt{\cos(2x)} \sqrt[3]{\cos(3x)} = \sqrt[6]{\cos^3(2x)} \sqrt[6]{\cos^2(3x)} = \left(\cos^3(2x) \cos^2(3x)\right)^{\frac16}

Now we use the identity

a^n-b^n = (a-b)\left(a^{n-1}+a^{n-2}b+a^{n-3}b^2+\cdots a^2b^{n-3}+ab^{n-2}+b^{n-1}\right)

to rationalize the numerator. This gives

\displaystyle \frac{a^6-b^6}{x^2 \left(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5\right)}

As x approaches 0, both a and b approach 1, so the polynomial in a and b in the denominator approaches 6, and our original limit reduces to

\displaystyle \frac16 \lim_{x\to0} \frac{1-\cos^3(2x)\cos^2(3x)}{x^2}

For the remaining limit, use the Taylor expansion for cos(x) :

\cos(x) = 1 - \dfrac{x^2}2 + \mathcal{O}(x^4)

where \mathcal{O}(x^4) essentially means that all the other terms in the expansion grow as quickly as or faster than x⁴; in other words, the expansion behaves asymptotically like x⁴. As x approaches 0, all these terms go to 0 as well.

Then

\displaystyle \cos^3(2x) \cos^2(3x) = \left(1 - 2x^2\right)^3 \left(1 - \frac{9x^2}2\right)^2

\displaystyle \cos^3(2x) \cos^2(3x) = \left(1 - 6x^2 + 12x^4 - 8x^6\right) \left(1 - 9x^2 + \frac{81x^4}4\right)

\displaystyle \cos^3(2x) \cos^2(3x) = 1 - 15x^2 + \mathcal{O}(x^4)

so in our limit, the constant terms cancel, and the asymptotic terms go to 0, and we end up with

\displaystyle \frac16 \lim_{x\to0} \frac{15x^2}{x^2} = \frac{15}6 = \frac52

Unfortunately, this doesn't agree with the limit we want, so n ≠ 3. But you can try applying this method for larger n, or computing a more general result.

Edit: some scratch work suggests the limit is 10 for n = 6.

6 0
2 years ago
Estimate the square root of 250 to two decimal places.
Andre45 [30]

Answer:

15.81

Step-by-step explanation:

Please mark brainliest if this has helped. Have a good day and goodluck with your work!

3 0
3 years ago
Read 2 more answers
It takes seth 57.1 seconds to run a mile, 114.2 seconds to run two miles ,171.3 seconds to run 3 miles. Write the consant rate o
Ivan

Answer:

99

Step-by-step explanation:

as the same way as it is done in question

3 0
3 years ago
Other questions:
  • How do you solve this?
    7·1 answer
  • 10 PTS! 5 STAR RATING! THANKS ON QUESTION AND PROFILE! FIRST ANSWER GETS THE BRAINLIEST!
    12·2 answers
  • Find the positive square root of 7+4sq.rt3
    10·1 answer
  • Write 84 as a product of primes.<br>Use index notation where appropriate​
    5·1 answer
  • Which geometric figures have a measurable quantity? A. line B. angle C. point D. lin
    13·1 answer
  • ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED THE QUICK ONLY ANSWER IF YOU REALY KNOW !!
    5·1 answer
  • For each sequence, determine whether it appears to be
    11·1 answer
  • Yesterday I sold 64 icecreams. This morning I sold 80 icecreams. With what percentage did my sales increase?
    11·1 answer
  • Hi guys I need help rq with this thanks
    15·1 answer
  • The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. a 2-co
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!