Mathematics: Find the average rate of change for f(x) = x2 + 7x + 10 from x = 0 to x = 2. a) 5 b) 7 c) 9 d) 11

Find the average rate of change for f(x) = x2 +

Ответ:

KariSupreme

11.03.2022

Mathematics

f(x) = x² + 7x + 10

f(0) = (0)² + 7(0) + 10 = 10 ----> (0, 10)

f(2) = (2)² + 7(2) + 10 = 28 -----> (2, 28)

rate of change is slope: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ = $\frac{28-10}{2-0} = \frac{18}{2}$ = 9

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Ответ:

heberavilesramirez52

29.01.2023

Mathematics

The force will be decreased by a factor of 16.

Step-by-step explanation:

Given:

The distance is increased 4 times then the force

Solution

The Newton's law of gravitation is states the every particle is attracted by a force. and this force is directly proportional to product of their masses and inversely proportional to the square of distance between their centre and it is written as.

F ∝ $\frac{m_{1}\times m_{2}}{r^{2} }$

$F=G\frac{m_{1}\times m_{2}}{r^{2} }$

Where G is the gravitational constant.

And $m_{1}, m_{2}$ is the mass of the particles.

And r is the distance between the particles.

If distance is increased by 4

F ∝ $\frac{1}{r^{2}}$

F ∝ $\frac{1}{4^{2}}$

F ∝ $\frac{1}{16}$

Therefore, the force will be decreased by a factor of 16.

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Find the average rate of change for f(x) = x2 + 7x + 10 from x = 0 to x = 2. a) 5 b) 7 c) 9 d) 11

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