Use a double integral to find the area of the region. The region
inside the cardioid r = 1 + cos(θ) and outside the circle r = 3
cos(θ). Can someone explain to me where to get the limits of
integration for θ? I get how to get the pi/3 and -pi/3 but most
examples of this problem show further that you have to do more for
the limits of integration but I do not get where they come
from?
Implement a version with the outer loop, with a while loop, and
the inner loop with a do / while loop.
Modify this program as he ask ↑↑↑ C++
// This program averages test scores. It asks the user for
the
2 // number of students and the number of test scores per
student.
3 #include <iostream>
4 #include <iomanip>
5 using namespace std;
6
7 int main()
8 {
9 int numStudents, // Number of students
10 numTests; //...
Find the volume of the solid region inside of the surface given
by ? 2 + ? 2 + ? 2 = 8 and between the upper and lower halves of
the cone given by ? 2 = ? 2 + ? 2 by setting up and evaluating an
appropriate triple integral (in the coordinate system of your
choice).
a) Find the area of the region bounded by the line y = x and the
curve y = 2 - x^2. Include a sketch.
Find the volume of the solid created when rotating the region in
part a) about the line x = 1, in two ways.