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2 years ago

Please help....... what's (4)x5

Mathematics

2 answers:

Lina20 [59]2 years ago

7 0

(4)x5 is the same as (4)5 or 4 x 5

it equals 20

Anna35 [415]2 years ago

6 0

4+4+4+4+4=20
or 5+5+5+5=20

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Find the third order maclaurin polynomial. Use it to estimate the value of sqrt1.3

vodka [1.7K]

$\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}$ is the maclaurin polynomial and estimate value of $\sqrt{1.3}$ is 1.14. This can be obtained by using the formula to find the maclaurin polynomial.

<h3>Find the third order maclaurin polynomial:</h3>

Given the polynomial,

$f(x)=\sqrt{1+3x}=(1+3x)^{\frac{1}{2} }$

The formula to find the maclaurin polynomial,

$f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}$

Next we have to find f'(x), f''(x) and f'''(x),

$f'(x) = \frac{3}{2}(1+3x)^{-\frac{1}{2} }$

$f''(x) =-\frac{9}{4}(1+3x)^{-\frac{3}{2} }$

$f'''(x) = \frac{81}{8}(1+3x)^{-\frac{5}{2} }$

By putting x = 0 , we get,

$f(0)=(1+3(0))^{\frac{1}{2} }=1$

$f'(0) = \frac{3}{2}(1+3(0))^{-\frac{1}{2} }=\frac{3}{2}$

$f''(0) =-\frac{9}{4}(1+3(0))^{-\frac{3}{2} }=-\frac{9}{4}$

$f'''(0) = \frac{81}{8}(1+3(0))^{-\frac{5}{2} }=\frac{81}{8}$

Therefore the maclaurin polynomial by using the formula will be,

$\sqrt{1+3x}=f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}$

$\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}$

To find the value of $\sqrt{1.3}$ we can use the maclaurin polynomial,

$\sqrt{1.3}$ is $\sqrt{1+3x}$ with x = 1/10,

$\sqrt{1+3(1/10)}=1+\frac{3}{2} (1/10)-\frac{9}{8} (1/10)^{2} + \frac{81}{8}(1/10)^{3}$

$\sqrt{1+3(1/10)}=\frac{18247}{16000} = 1.14$

Hence $\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}$ is the maclaurin polynomial and estimate value of $\sqrt{1.3}$ is 1.14.

Learn more about maclaurin polynomial here:

brainly.com/question/24188694

#SPJ1

6 0

1 year ago

Read 2 more answers

On the number line below. P number what is the value of the opposite of that number.

Katena32 [7]

Answer: -1 2/4 is the opposite of 1 2/4

Step-by-step explanation: On the number line the P represents 1 2/4, so the opposite of that is -1 2/4.

Also as I stated before I recently did this test.

FLVS right, segment practice test?

Hope this helped fellow FLVS student!!

4 0

2 years ago

If the hypotenuse of a right triangle has length 9 feet and one of the other sides has length 2 feet, what is the length of the

alex41 [277]

Hypotenuse=H=9ft
Base=B=2ft

Apply Pythagorean theorem

P²=H²-B²
P²=9²-2²
P²=81-4
P²=77
P=√77

Option D

4 0

1 year ago

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Help me please A B C D E F

wariber [46]

Answer:

F because you cannot prove that any of the angles are the same with only one set of parallel lines

6 0

2 years ago

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So like, its one of those compare things with: <, >, and = and it says compare: 1/2 of 10 (I know that) but this part stoo

nirvana33 [79]

I’m confused?? Do you just need 1/3 of 12? That’s 4 because 12 x 1 =12 and 12/3 is 4 lol

6 0

2 years ago