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2 years ago

Polygon with only 2 congruent sides and 2 congruent angles

Mathematics

1 answer:

zalisa [80]2 years ago

5 0

A rectangle or a parallelogram is a polygon with only 2 congruent sides and 2 congruent angles.

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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

1 year ago

Please help me find answer. midpoints invloved

Nimfa-mama [501]

Answer:

7x - 12 = 3x - 2

Step-by-step explanation:

7 0

1 year ago

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After dinner 2/3 of a pan of lasagna is left. The hole pan of Lasagna was originally cut in into pieces that were each 1/6 of th

Paraphin [41]

Answer:

An equation represents the number of pieces of lasagna that are left after dinner is $\frac{1}{6}x=\frac{2}{3}$

Step-by-step explanation:

Each piece of Lasagna is 1/6 of the pan

Let x be the number of pieces left

So, x pieces is $\frac{1}{6}x$ of the pan

We are given that After dinner 2/3 of a pan of lasagna is left.

So, $\frac{1}{6}x=\frac{2}{3}$

$x=\frac{2}{3} \times 6$

x=4

So, Number of pieces left = 4

Hence An equation represents the number of pieces of lasagna that are left after dinner is $\frac{1}{6}x=\frac{2}{3}$

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2 years ago

What do the following two equations represent?

dmitriy555 [2]

Answer:

perpendicular lines

Step-by-step explanation:

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2 years ago

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A recipe requires 5.5 teaspoons of sugar to make a cheesecake. Which equation shows the number of teaspoons of sugar, y, needed

Assoli18 [71]

I believe it is x=5.5y

hope this helps!

8 0

3 years ago