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2 years ago

If f(x)=2 sin 3x+C, then the maximum value of f(x) is: 1)C 2) C+2 3) C+3 4) C+6

Mathematics

1 answer:

Vladimir79 [104]2 years ago

8 0

<h3>Answer: C+2</h3>

Reason:

The largest sin(x) can get is 1, and the same goes for sin(3x).

Consequently, the largest 2sin(3x) can get is 2.

You can visually verify these claims by graphing each function with a tool like Desmos. Take note of the y coordinate of the highest points. See below.

Therefore, the largest f(x) = 2sin(3x)+C can get is 2+C or C+2

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Through: (1,0), slope=1

vitfil [10]

Standard form:
Y - 0= 1(x - 1)
Y - 0= x - 1
-x+y= -1
- (-x+y= -1)
Answer:
x-y=1

Slope-Intercept form:
Y - 0= 1(x-1)
Y - 0 = x - 1
Answer:
Y= x-1

4 0

3 years ago

The circumference of Circle K is pi. The circumference of Circle L is 4xpi.

dmitriy555 [2]

Answer:

Ratio of circumferences: $\displaystyle\frac{1}{4}$

Ratio of radii: $\displaystyle\frac{1}{4}$

Ratio of areas: $\displaystyle\frac{1}{16}$

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is $\pi$

- The circumference of Circle L is $4\pi$

Therefore, the ratio of their circumferences would be:

$\displaystyle\frac{\pi}{4\pi}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for circumference is $C=2\pi r$ , where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is $\pi$ , or $1\pi$ , then its radius is $\displaystyle\frac{1}{2}$ .

If the circumference of Circle L is $4\pi$ , then its radius is $\displaystyle\frac{4}{2}$ , which is 2.

Therefore the ratio their radii would be:

$\displaystyle\frac{\frac{1}{2}}{{2}}$ ⇒ $\displaystyle\frac{1}{2}*\frac{1}{2}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for area is:

$A=\pi r^2$

First, let's find the area of Circle K:

$A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi$

Now, let's find the area of Circle L:

$A=\pi (2)^2\\A = 4\pi$

Therefore, the ratio of their areas would be:

$\displaystyle\frac{\frac{1}{4}\pi}{4\pi}$ ⇒ $\displaystyle\frac{\frac{1}{4}}{4}$ ⇒ $\displaystyle\frac{1}{4} * \frac{1}{4}$ ⇒ $\displaystyle\frac{1}{16}$ when simplified

I hope this helps!

5 0

2 years ago

The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold<br>

Fiesta28 [93]

Answer:

whats the question

Step-by-step explanation:

5 0

2 years ago

Arizona has 15 counties how many do Florida and Georgia have

Lynna [10]

Answer:

Florida has 67 counties, Georgia has 159.

<em>Hope this helps :)</em>

7 0

3 years ago

Find the median<br> 23 ,15, 38 ,34 ,22, 2, 21 ,27 ,26 ,14, 32, 30, 19

xxTIMURxx [149]

First put them in ascending numerical order
2, 14, 15, 19, 22, 21, 26, 27, 23, 30, 32, 34, 38
Then start to eliminate numbers by pair (the farthest number from each side) until you get to 1 or two numbers left (in the very middle)
in this case you will be left with 26, which means that the median is 26

3 0

3 years ago

Read 2 more answers