- #1
chwala
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- Homework Statement
- See attached
- Relevant Equations
- Parametric equations
My question is on how did they determine the limits of integration i.e ##2## and ##3## as highlighted? Thanks
I agree. The graph of the parametric curve ##x = t^2, y = t^3## lies in Quadrants I and IV, and is unbounded. There has to be additional but unstated constraints for the limits of integration that are shown.Frabjous said:I meant that the problem statement did not include the limits, i.e., poorly written.
@WWGD This is not my working rather notes that i came across as indicated by the given internet link;WWGD said:@chwala : It seems in your square root, you're using ##\frac {dx}{dt} ##twice, rather than what I believe is correct, ##\frac {dx}{dt}, \frac{dy}{dt}##
To find the surface area of a solid, you need to calculate the area of each individual face or surface and then add them together. This will give you the total surface area of the solid.
The formula for finding the surface area of a solid will depend on the shape of the solid. For example, the formula for a cube is 6a², where a is the length of one side. It is important to know the specific formula for the shape of the solid you are working with.
No, each shape has its own specific formula for finding the surface area. However, there are some general formulas that can be used for certain types of solids, such as the formula for finding the surface area of a prism, which is 2B + Ph, where B is the base area, P is the perimeter of the base, and h is the height of the prism.
The units used for measuring surface area will depend on the units used for measuring the dimensions of the solid. For example, if the dimensions are given in centimeters, the surface area will be in square centimeters. It is important to keep the units consistent throughout your calculations.
You can check your answer by using a different method to calculate the surface area or by using a formula for a different shape that also applies to the solid. Additionally, you can use a calculator or online calculator to verify your answer.