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2 years ago

1. Which of the following numbers is the smallest?

Mathematics

2 answers:

sergij07 [2.7K]2 years ago

7 0

Answer:

your answer is B- 0.2091 hope this helps :D

Step-by-step explanation:

Zielflug [23.3K]2 years ago

6 0

I answer is B your welcome.

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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

2(6+2x-1) pleas help fast

Nat2105 [25]

Answer:

4x+10

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

-4+6y=16<br> Change to slope (intercept)

hichkok12 [17]

*here is step by step*
(Remember to add the 'x' to the slope)

-4x+6y=16

6y=4x+16

y= 4/6x + 2.66

The complete answer is:
y= 2/3x + 2.66

7 0

2 years ago

Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbe

andriy [413]

The points have the same x-coordinate, so they lie on a horizontal line. The distance between them is the difference between their y-coordinates.

2.5 - 1.4 = 1.1

The distance between the two points is 1.1

5 0

2 years ago

3x-9 when x=3<br> Solve this

Citrus2011 [14]

Answer:

Step-by-step explanation:

3x - 9 if x = 3

Substitute:

3(3) - 9 =

9 - 9 = 0

This can be written as a function: f(x) = 3x - 9

f(3) = 3x - 9

f(3) = 3(3) - 9

f(3) = 9 - 9

f(3) = 0

-Chetan K

3 0

2 years ago