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4 years ago

20 Points!! Plzz Help!!! Will give brainliest!!! Hurry Plzz Need Help ASAP!!!

Mathematics

1 answer:

Tatiana [17]4 years ago

8 0

Answer:

Step-by-step explanation:

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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

Find the perimeter of triangle ABC. Approximate to the nearest whole unit.

kolbaska11 [484]

Answer: 16 units

Step-by-step explanation: adding the perimeter sides to get the perimeter of triangle ABC would be 4.1+6.1+5.8 = 16

7 0

3 years ago

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Can so one explain please? So confused.

Fiesta28 [93]

Answer:

Step-by-step explanation:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle, square or other you have to add the lengths of all the sides.

For example if it comes out to 90 then you round it to the nearest hundredth.

Hope it helps

3 0

3 years ago

What does 4×0.2=? equal 15 POINTS

zlopas [31]

<span>What does 4×0.2 = ?
</span>
The answer is 0.8

6 0

3 years ago

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Please answer! giving branliest. provide me with answers, or answer sheet, thanks!

pshichka [43]

When you graph the three lines, the first two overlap. The third is parallel to those two.

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3 years ago

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