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3 years ago

Can someone help with this and give me an explanation on how u get im struggling and im giving brainly thx so much

Mathematics

2 answers:

Brrunno [24]3 years ago

3 0

The options are b), c) and e).

ASHA 777 [7]3 years ago

3 0

The answers are B, C, and E

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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

4 0

2 years ago

How do you write 90,523 in word form

zmey [24]

nindy thousand five hundred and twenty three. Hope this helps!

4 0

3 years ago

Read 2 more answers

If i is raised to an even power than I can’t simplify to be i 1 -1

son4ous [18]

Answer:

Step-by-step explanation:

i^ even power

i^2 = i*i = -1

i^4 = =1

So raised to an even power, it will be either 1 or negative 1

raised to an odd power it will be either i or -i

4 0

3 years ago

A heated piece of metal cools according to the function c(x) = (.5)^x − 11, where x is measured in hours. A device is added that

Goryan [66]

Answer:

The temperature of metal after five years = -18.96875

Step-by-step explanation:

Given : Function $c(x) = (0.5)^x-11$

where x is measured in hours

Another function is added h(x)=-x-3

therefore, the resultant function f(x)=h(x)+c(x)

$f(x) = (0.5)^x-11-x-3$

For x=5

$f(5) = (0.5)^5-11-5-3$

$f(5) = (0.03125)-19$

$f(5) = -18.96875$

Therefore, The temperature of metal after five years = -18.96875

5 0

3 years ago

Read 2 more answers

Thu wants to play "guess my number".she states,"when I triple my number and add five,I get twenty-six. What's my number?" what i

Mama L [17]

Let's break this up:
let x = the number
"when I triple my number" is the same as
3x
"and add five" is the same as
+5
We combine it to get
3x+5
"I get twenty-six"
=26
combine to get
3x+5=26
Now we just solve:
subtract 5 from both sides to get
3x=21
divide by 3 to get
x=7

6 0

3 years ago