In rectangle RSTU it is known that RS=12 and ST=5. What is the length of diagonal SU?

Mathematics

1 answer:

Rzqust [24]3 years ago

7 0

I hope this helped you.

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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

A bag contains white marbles and yellow marbles, 54 in total. The number of white marbles is 6 less than 3 times the number of y

NNADVOKAT [17]

Let x be white marbles, y be yellow marbles
x+y=54…(1)
x=3y - 6 …(2)

put (2) into (1)
(3y - 6) + y = 54
4y = 60
y=15

put y=15 into (1)

x + 15=54
x=39

so y=15 x=39

7 0

3 years ago

Read 2 more answers

Pozele sunt atasate va rog urgeeeeent

Nookie1986 [14]

Answer:

it's not English, sorry I can't help.

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3 years ago

Use the figure to find the specified angle measure. In the figure, m || n and x || y.

Tomtit [17]

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