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3 years ago

21 times what is 126?

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

5 0

Do you mean 21 x 126?

goldfiish [28.3K]3 years ago

5 0

21 X 126 is 2,646

I hope this answers your question
~Renee \(^_^)/

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3 years ago

A)Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity

Colt1911 [192]

Answer:

a) The sequence converges to 0

b) The lenght of the curve is $\frac{1}{54}(217^{3/2}-37^{3/2})$

Step-by-step explanation:

Consider the sequence $a_n = \frac{-6n^6 + \sin^2(7n)}{n^7+11}$

a) We will prove it using the sandwich lemma. Note that for all n $-1\leq \sin^2(7n)\leq 1$ , then

$\frac{-6n^6 -1}{n^7+11}\leq\frac{-6n^6 + \sin^2(7n)}{n^7+11}\leq \frac{-6n^6 + 1}{n^7+11}$

Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that

$0 \leq\frac{-6n^6 + \sin^2(7n)}{n^7+11} \leq 0$

So, the sequence converges to 0.

b) The function $f(x) = 4x^{3/2}+7$ the formula of curve lenght is given by

$s = \int_a^b \sqrt[]{1+(f'(x))^2}dx$

in this case, a=1, b=6

Note that $f'(x) =6x^{{1/2}$ . Then

$s=\int_1^6 \sqrt[]{1+36x}dx$ . Take u = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,

$s=\frac{1}{36}\int_{37}^{217}\sqrt[]{u} du = \frac{2}{36\cdot 3} \left.u^{3/2}\right|_{37}^{217}=\frac{1}{54}(217^{3/2}-37^{3/2})$

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3 years ago

What is the answer to this?

Eddi Din [679]

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jcdjcdjcdjcdjcdcddchjchcdhjcdhjhcdhjcdhjhcdjhcdhjcdhjhjcdhjhcdhcdchcdhjcdhjcdhjcdhjcdhjcdhdchjdchjvaginavauvjfuehsbigfsbfgks,hbglfsbgfdsngtdnhgdnhgdnhgdmhgdnhgdnhgfnhgdnhdnhgdnhgdnhgdnhgnhgnfch

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3 years ago

What is 1 6/8 as a fraction.how did u figure it out

Readme [11.4K]

Answer:

1 6/8 is a mixed number. To turn it into a fraction which is called an improper fraction you have to multiply the denominator by the whole number which is 1, then add the numerator which is 6. Your answer should be 14/8 or simplified to be 7/4.

Step-by-step explanation: Step 1: Multiply the denominator and the whole number. In this case it's 1 and 8. 1x8.

Step 2: Once you get the answer to 1x8 which is 8, you add the numerator to the product. 8+6=14.

Step 3: Since we now know the answer is 14/8 we need to simplify it. We find the greatest common factor between numerator and denominator which is 2. Then divide both 14 and 8 by 2.

Step 4: 1 6/8 as a fraction is 14/8 which simplifies to 7/4.

Hope this helped.

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4 years ago