1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Assoli18 [71]
1 year ago
8

Using radians find the amplitude in period of each function then graph. Question 9

Mathematics
1 answer:
sleet_krkn [62]1 year ago
6 0

we have the function

y=\frac{1}{2}sin4\theta

Remember that

The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2

In the general form of the equation of the sine

y=Asin(B(x+c))+D

The amplitude is the factor A

so

In this problem

The amplitude is 1/2

using a graphing tool

Note that the amplitude is the height from the center line to the peak (the center line is the x-axis, so the distance is 0.5.

You might be interested in
Help hlp help help helpppppppppppppppppp
bonufazy [111]

Answer:

10 = 3 and 4

11 = 11 and 12

12 = 8 and 9

13 = 17 and 18

Step-by-step explanation:

7 0
2 years ago
Evaluate the integral following ​
alina1380 [7]

Answer:

\displaystyle{4\tan x + \sin 2x - 6x + C}

Step-by-step explanation:

We are given the integral of:

\displaystyle{\int 4(\sec x - \cos x)^2 \, dx}

First, we can use a property to separate a constant out of integrand:

\displaystyle{4 \int (\sec x - \cos x)^2 \, dx}

Next, expand the expression (integrand):

\displaystyle{4 \int \sec^2 x - 2\sec x \cos x + \cos^2 x \, dx}

Since \displaystyle{\sec x = \dfrac{1}{\cos x}} then it can be simplified to:

\displaystyle{4 \int \dfrac{1}{\cos^2 x} - 2\dfrac{1}{\cos x} \cos x + \cos^2 x \, dx}\\\\\displaystyle{4 \int \dfrac{1}{\cos^2 x} - 2 + \cos^2 x \, dx}

Recall the formula:

\displaystyle{\int \dfrac{1}{\cos ^2 x} \, dx = \int \sec ^2 x \, dx = \tan x + C}\\\\\displaystyle{\int A \, dx = Ax + C \ \ \tt{(A \ and \ C \ are \ constant.)}

For \displaystyle{\cos ^2 x}, we need to convert to another identity since the integrand does not have a default or specific integration formula. We know that:

\displaystyle{2\cos^2 x -1 = \cos2x}

We can solve for \displaystyle{\cos ^2x} which is:

\displaystyle{2\cos^2 x = \cos2x+1}\\\\\displaystyle{\cos^2x = \dfrac{\cos 2x +1}{2}}

Therefore, we can write new integral as:

\displaystyle{4 \int \dfrac{1}{\cos^2 x} - 2 + \dfrac{\cos2x +1}{2} \, dx}

Evaluate each integral, applying the integration formula:

\displaystyle{\int \dfrac{1}{\cos^2x} \, dx = \boxed{\tan x + C}}\\\\\displaystyle{\int -2 \, dx = \boxed{-2x + C}}\\\\\displaystyle{\int \dfrac{\cos 2x +1}{2} \, dx = \dfrac{1}{2}\int \cos 2x +1 \, dx}\\\\\displaystyle{= \dfrac{1}{2}\left(\dfrac{1}{2}\sin 2x + x\right) + C}\\\\\displaystyle{= \boxed{\dfrac{1}{4}\sin 2x + \dfrac{1}{2}x + C}}

Then add all these boxed integrated together then we'll get:

\displaystyle{4\left(\tan x - 2x + \dfrac{1}{4}\sin 2x + \dfrac{1}{2} x\right) + C}

Expand 4 in the expression:

\displaystyle{4\tan x - 8x +\sin 2x + 2 x + C}\\\\\displaystyle{4\tan x + \sin 2x - 6x + C}

Therefore, the answer is:

\displaystyle{4\tan x + \sin 2x - 6x + C}

4 0
1 year ago
PLS IM SO CONFUSLEZZZD <br> 2+2
cluponka [151]
The answer is 4 hope this helps kindergartner
7 0
3 years ago
1. What is the degree of the polynomial?<br> t3 + 5t2 – 3t + 2
gladu [14]
I’m assuming that the first number is supposed to be raised by the power of 3. The degree of this polynomial would be 3 then if this is the case.
7 0
3 years ago
Read 2 more answers
What is the value of arc sin(2√2)?
Artyom0805 [142]
The exact value of arcsin ( 2 √ 2 ) is π4.
8 0
3 years ago
Other questions:
  • A parabola passes through the points (–5, –10) and (5, –10), and the vertex is located at (0, 0). Find the equation of the parab
    11·1 answer
  • Marina and her mother each have a salad and a drink for lunch at a restaurant. A salad costs $4.75 and a drink costs $1.65. Mari
    13·2 answers
  • What is the answer for this equation :<br> 11p-4= 6p + 1
    11·1 answer
  • Claudia records the hours she spent studying and her test scores for 5 tests. What is the correlation coefficient? What is the s
    6·2 answers
  • What is the quotient?
    8·1 answer
  • How do I solve this?
    5·1 answer
  • If a car travels at 40km/hr for 4 hours, how much distance has it covered?
    8·2 answers
  • !!will give brainliest!! If you want addition to be done before multiplication, what do you need to add to the problem?​
    14·1 answer
  • Best hockey player hands down is?
    8·2 answers
  • PLEASE HELP ME FAST!!!! ( It's about y-intercept)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!