Using maple software A diameter of the circular base coincides with the x axis from x = −1 to x = 1 . In the positive quadrant of the xy plane, the side of the of the solid coincides with the curvey = f(x) = ((x + 3)^(1/2) )− 2 The top of the solid is a flat disc at y = 2. Step one: Define f to be ((x + 3)^(1/2)) − 2. The next two steps are used to invert f(x) so that you obtain an expression for x as a function of y. You will then use this to calculate the area of a (infinitesimally thin) disc obtained by cutting a slice through th
Using maple software A diameter of the circular base coincides with the x axis from x = −1 to x = 1 . In the positive quadrant of the xy plane, the side of the of the solid coincides with the curvey = f(x) = ((x + 3)^(1/2) )− 2 The top of the solid is a flat disc at y = 2.
Step one: Define f to be ((x + 3)^(1/2)) − 2. The next two steps are used to invert f(x) so that you obtain an expression for x as a function of y. You will then use this to calculate the area of a (infinitesimally thin) disc obtained by cutting a slice through the solid at a fixed value of y. The area of the disc can then be integrated over y to obtain the volume of the solid.
Step two: Define g to be y− f.
step three: Use the function solve(g,x) to obtain an expression for x in terms of y. (The output line will just be an expression in terms of y).
step four: Calculate the area of an infinitesimally thin disc of the solid perpendicular to the y axis as a function of y.
Step five: Using the int function,
Step six: Convert the answer you obtained in Step five to a decimal number by using the evalf function.
Step by step
Solved in 4 steps
