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Hoochie [10]
3 years ago
13

1. Graph the function f(x)=4cos(x). (Be sure to label your x-axis.)

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

ANSWER

To graph the function


y=4cos(x) we need to plot some few points within one period. Since the interval is not given, we shall use [0,2 \pi]'


\left \begin{array}{cc}x&y=4cos(x)\\0 &4\\\frac{\pi}{2}&0 \\ \pi&-4\\\frac{3\pi}{2} &0\\2\pi&4\end{array}\right.


We plot the above points to obtain the graph as shown in the attachment.



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Please help it's 20 and 22 Find he value of the Variables
KIM [24]
20 x=5 I hope this helps
22.x=15
3 0
3 years ago
CALCULUS: For an object whose velocity in ft/sec is given by v(t) = sin(t), what is its distance, in feet, travelled on the inte
rodikova [14]

The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.

To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.

\mathrm{distance} = \displaystyle\int_1^5 |\sin(t)| \,\mathrm dt

By definition of absolute value,

|\sin(t)|=\begin{cases}\sin(t)&\text{for }\sin(t)\ge0\\-\sin(t)&\text{for }\sin(t)

Over this particular integration interval,

• sin(<em>t</em> ) ≥ 0 for 1 ≤ <em>t</em> < <em>π</em>, and

• sin(<em>t</em> ) < 0 for <em>π</em> < <em>t</em> ≤ 5

so you end up splitting the integral at <em>t</em> = <em>π</em> as

\mathrm{distance} = \displaystyle\int_1^\pi \sin(t)\,\mathrm dt + \int_\pi^5 (-\sin(t))\,\mathrm dt

Now compute the distance:

\mathrm{distance} = -\cos(t)\bigg|_1^\pi + \cos(t)\bigg|_\pi^5

\mathrm{distance} = -(\cos(\pi) - \cos(1)) + (\cos(5) - \cos(\pi))

\mathrm{distance} = -2\cos(\pi) + \cos(1) + \cos(5) \approx 2.82

making B the correct answer.

7 0
2 years ago
1. Shay found that she hit the bull's-eye when throwing darts 2/10 times. If she
viva [34]
<h2>Answer:</h2><h2>If she  continues to throw darts 75 more times, she could predict to hit the </h2><h2>bull's-eye 15 times.</h2>

Step-by-step explanation:

Shay found that she hit the bull's-eye when throwing darts \frac{2}{10} times = \frac{1}{5}.

In five times, she will hit the dart once.

If she  continues to throw darts 75 more times,

the probability that she will hit the bull's eye =  \frac{1}{5} (75) = 15 times.

If she  continues to throw darts 75 more times, she could predict to hit the

bull's-eye 15 times.

6 0
2 years ago
If y varies inversely as x and y = 8 when x = 9, find x when y = 12.
myrzilka [38]

Answer:

x = 6

Step-by-step explanation:

An inverse variation is

xy = k where k is the constant of variation

8*9 = k

72 = k

xy = k

Let y = 12

x*12 = 72

Divide each side by 12

12x/12 =72/12

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5 0
2 years ago
What is (4x+1)(4x+1)
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Answer:

(4x+1)^2

Step-by-step explanation:

Anything times itself is itself squared

5 0
3 years ago
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