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3 years ago

Examples of subtraction of vectors an inverse operation

Mathematics

1 answer:

zlopas [31]3 years ago

3 0

Answer:

less then

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

How can individual attitudes and lack of response to injustice harm society as a whole? (this was meant to be in history)

dmitriy555 [2]

I agree with the answer above me but i don’t rly know history so good luck

8 0

3 years ago

Mai conducted an experiment by flipping a fair coin 200 times. The coin landed heads up 110 times. Which statement about the coi

Alexandra [31]

The experimental probability of the coin landing heads up is 110/200 = 11/20.
The theoretical probability is 1/2

4 0

3 years ago

Read 3 more answers

Use the quadratic formula to solve the equation.–x2 + 5x = 3

Karo-lina-s [1.5K]

Given the equation - x² + 5x = 3, which can be rewritten as:

- x² + 5x - 3 = 0

where a = -1, b = 5 and c = -3.

Quadratic formula:

$\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}$

Now, we just replace the values of a, b and c on the equation above.

$\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}$

$\frac{5}{2}\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}$

4 0

1 year ago

Oliver earns $9 per hour. Write and solve an equation to find how many hours he must work to earn $315

natka813 [3]

Y=9x

315=9x

315/9=x

35=x

7 0

3 years ago

Examples of subtraction of vectors an inverse operation​

Examples of subtraction of vectors an inverse operation