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Schach [20]
3 years ago
9

Find the basic period and basic frequency of the function g(t)=8cos(10πt)+sin(15πt)

Computers and Technology
1 answer:
Lady_Fox [76]3 years ago
5 0

Answer:

The period is

\frac{2\pi}{5}

The frequency is

\frac{5}{2\pi}

Explanation:

The period of both functions will be LCM of both period.

The period of cos is

\frac{\pi}{5}

The period of sin is

\frac{2\pi}{15}

Let convert each into degrees.

\frac{\pi}{5}  = 36

\frac{2\pi}{15}  = 24

Find the least common multiple between 36 and 24, which is 72.

Convert 72 into radians

72 =  \frac{2\pi}{5}

The period is 2pi/5.

The frequency is equal to

1/period.

so the frequency is

\frac{1}{ \frac{2\pi}{5} }  =  \frac{5}{2\pi}

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Answer:

<em>This program is written using Python Programming language,</em>

<em>The program doesn't make use of comments (See explanation section for line by line explanation)</em>

<em>Program starts here</em>

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newlist = []

b = float(input("User Input: "))

while not b==0:

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    b = float(input("User Input: "))

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Explanation:

This line gives the user instruction on how to populate the list and how to stop

print("Enter elements into the list. Enter 0 to stop")

This line creates an empty list

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This line enables the user to input numbers; float datatype was used to accommodate decimal numbers

b = float(input("User Input: "))

The italicized gets input from the user until s/he enters 0

<em>while not b==0:</em>

<em>     newlist.append(b)</em>

<em>     b = int(input("User Input: "))</em>

This line sorts the list in ascending order

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Sites like Zillow get input about house prices from a database and provide nice summaries for readers. Write a program with two
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Answer:

Here is code in c++.

#include <bits/stdc++.h>

using namespace std;

//main function

int main() {

// variables to store input and calculate price change and mortgage

int current_price,last_price,change;

float mortgage=0;

cout<<"Please enter the current month price:";

//reading current month price

cin>>current_price;

cout<<"Please enter the last month price:";

//reading last month price

cin>>last_price;

// calculating difference

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 // calculating mortgage

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cout<<"The estimated monthly mortgage is $"<<mortgage<<endl;

return 0;

}

Explanation:

Read the current month price and assign it to "current_price" and last month

price to variable "last_price". Calculate change from last month by subtracting

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Output:

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