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3 years ago

B oooooooooooooooooo

Mathematics

1 answer:

Andrej [43]3 years ago

3 0

Answer:

Please stop with this unless its for math. Others need more help :)

Step-by-step explanation:

Unless this was a real math problem please tell me otherwise.

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Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217

Soloha48 [4]

Answer:

$f(216) \approx 6.0093$

Step-by-step explanation:

Given

$\sqrt[3]{217}$

Required

Solve

Linear approximated as:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

Take:

$x = 216; \triangle x= 1$

So:

$f(x) = \sqrt[3]{x}$

Substitute 216 for x

$f(x) = \sqrt[3]{216}$

$f(x) = 6$

So, we have:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

$f(215 + 1) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot f'(x)$

To calculate f'(x);

We have:

$f(x) = \sqrt[3]{x}$

Rewrite as:

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

Differentiate

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

Split

$f'(x) = \frac{1}{3} \cdot \frac{x^\frac{1}{3}}{x}$

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

Substitute 216 for x

$f'(216) = \frac{216^\frac{1}{3}}{3*216}$

$f'(216) = \frac{6}{648}$

$f'(216) = \frac{3}{324}$

So:

$f(216) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot \frac{3}{324}$

$f(216) \approx 6 + \frac{3}{324}$

$f(216) \approx 6 + 0.0093$

$f(216) \approx 6.0093$

6 0

3 years ago

SOMEONE PLEASE HELP! IM REALLY CONFUSED

Mamont248 [21]

Answer:

thanks

Step-by-step explanation:

3 0

3 years ago

What is the length of XPY in terms of pi?

Elis [28]

Circumference of a circle = 2πr

Circumference of the whole circle= 2π(30) = 60π

360 - 90 = 270

Length XPY = 270/360 x 60π = 45π

Answer: 45π m

5 0

3 years ago

Read 2 more answers

How many times larger is 150,00 than 150

vesna_86 [32]

Answer:

100 times

Step-by-step explanation:

u have to divide to know which is bigger by how many times

6 0

4 years ago

Read 2 more answers

What is 20% of 95? (show all work)

elena-s [515]

we know that if 95 is out of 100%, we can write it down as 95 = 100%. we also know that x is 20% of the output value, so we can write it down as x = 20%. 
now we have the equations:
95=100%
x=20%
next we will put the equations together
95/x = 100%/20%
95/x=100/20
(95/x)*x=(100/20)*x
we multiply both sides of the equation by x
95=5*x
now we divide both sides of the equation by 5 to get x
95/5=x 
19=x 
x=19
we now know that 20% of 95 = 19
let me know if you have any other questions
:)

6 0

3 years ago

B oooooooooooooooooo​

B oooooooooooooooooo