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3 years ago

Please help me i really need help please i really need help please please really need help please or i'm not gonna pass please

Mathematics

1 answer:

Andre45 [30]3 years ago

8 0

Is Oya a functional character or a real-life one? What is the story?

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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

HELP ME PLEASE URGENT BRAINLY + 5 STAR

notsponge [240]

Th equation would be y=6x. Bruce unloads 6 boxes in 1 minute, so that would be your unit rate. X represents how many minutes he takes to unload the boxes, so for each minute Bruce unloads 6 boxes.

5 0

3 years ago

Prove that sin 60° = 2 tan 30°/1+ tan² 30°

anastassius [24]

Answer:

plz mark brainliest

if it helps

3 0

3 years ago

Read 2 more answers

How to solve this problem

slava [35]

24/.375 = 64, the answer is no.

6 0

3 years ago

What's the answer to this problem

Grace [21]

Answer:

3' 10'' if I'm not mistaken.

Step-by-step explanation:

5 feet subtracted by 1 foot is 4 feet, 6 inches subtracted by 8 inches sets us back a foot and leaves 10 inches on the previous foot.

7 0

3 years ago