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2 years ago

Simplify this expression

Mathematics

1 answer:

mixas84 [53]2 years ago

4 0

Answer:

17-(- 2 / 5j)

Step-by-step explanation:

16 + (- 5 ) - 2/5j - 4/5 j + 6

\/ \/ \/

11- ( -2/5j ) + 6

From here you over the 6 over to the 11

11+6-(-2/5j)

17-(-2/5j)

It can not be simplified farther I believe

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2 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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1 year ago

Can someone help me with this? It's due tomorrow

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2 years ago

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Answer:

Step-by-step explanation:

pythagoras theorem

${x}^{2}$

$=225 \times 2 + 225 \times 2 \\$

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2 years ago