The correct question is contained in the first attached file.
Answer:
a) The trapezoidal rule answer
0.433490
b) The midpoint rule answer
1.186075
c) The Simpson's rule answer
1.106143
Step-by-step explanation:
These numerical methods are means of estimating definite integrals by finding the area under the curve of the function between two points.
a) The solution for the trapezoidal rule method is presented in the 2nd attached image to this solution.
b) The solution for the midpoint rule method is presented in the 3rd attached image to this solution.
c) The solution for the Simpson's rule method is presented in the 4th attached image to this solution.
Answer: 1.8
Step-by-step explanation:
Amount saved= $135
Amount planned to save= $75
Fraction= 135/75 = 9/5
Decimal= 1.8
Answer:
9:1
Step-by-step explanation:
The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).
The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.
4 · 3 = 12
However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.
You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:
3.14 · 4² · 5 = 251.2
3.14 · 12² · 5 = 2,260.8
The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.
2.260.8 ÷ 9 = 251.2