Consider the limacon defined by r = 3 – 4 cos theta a) Create a graph of the limacon You may use technology, but please sketch the graph neatly and be sure that the important features of the limacon are displayed in your sketch

b) Set up an integral that could be used to find the area of the region enclosed by the smaller loop of the limacon defined previously. Use technology to find the value of this integral representing the described area.
c)Set up an integral that could be used to find the arc length of the limacon that was sketched in Part a). Use technology to find the value of this integral representing the described arc length.

The answer is "False"

Step-by-step explanation:

following are the code to this question:

#include <iostream>//defining header file

using namespace std;

int main() //defining main method  

{

if(1>=2)//defining if block to check value

{

    cout<<"True";//print message

}

else//else block

{

    cout<<"False"; //print message

}

return 0;

}

Output:

false  

In this question, a condition is defined, that checks the given condition, which is 1>=2, in this condition and if block is used, when the condition is true, it will print the true message, otherwise, it will go to the else block, in which, it will print the false message.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

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