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3 years ago

Which expression is equivalent to 5^6

Mathematics

2 answers:

HACTEHA [7]3 years ago

8 0

Answer:

Answe

Step-by-step explanation:

Answer

padilas [110]3 years ago

4 0

Answer:

-125 × 125 equal to -15,625

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if one acute angle of a right triangle measures 47 degrees, what is the measures of the other acute angle

dimulka [17.4K]

Answer:

Step-by-step explanation:

The sum of measures of angles in triangle is 180°, so the measure of the ohter acute angle:

180° - 90° - 47° = 43°

3 0

2 years ago

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

Paul is doing the repair work for the roller coaster shown below. Select the most appropriate unit to measure the horizontal dis

Ymorist [56]

Answer:

Feet

Step-by-step explanation:

Inches and centimeters are really small, so it wouldn't be appropriate to measure it in those units. Miles are really long, so that to would not be appropriate.

5 0

2 years ago

I need help with this

yanalaym [24]

The answer is the "y" value of (2, 3),

So the answer is (C), y = 3

6 0

3 years ago

Answer asap -=-=-=-=-==-=

uysha [10]

Step-by-step explanation:

my answer is in the image above