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3 years ago

Describe the steps that you would use to generate an expression equivalent to 8.1b+6.7a+2.5+7+.9a-2.8b

Mathematics

1 answer:

bija089 [108]3 years ago

6 0

Explanation:

1. Identify the different constellations of variables. Here there are three:

b
a
(none)

2. Combine coefficients of each of the different variable constellations:

(8.1 -2.8)b +(6.7 +0.9)a +(2.5 +7)

5.3b +7.8a +9.5

3. Perform any other operations that might be required depending on the sort of equivalent wanted. For example, one could write ...

5.3(b +(78/53)a) +9.5 . . . . . . . shows the weight of a relative to b

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3 years ago

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

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3 years ago

Read 2 more answers

Picture is below...........................

liubo4ka [24]

Answer:

C or A

thats all i know hope it helps

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3 years ago