Provide an appropriate response.The region shown here is to be revolved about the y-axis to generate a solid. Which of the methods (disk, washer, shell) could you use to find the volume of the solid? How many integrals would be required in each case?
y = 4x- x2
What will be an ideal response?
The volume can only be found using the shell method. Only 1 integral is required. Since y = 4x- x2 cannot be solved for x, the washer method cannot be used.
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Solve the problem.A circular fountain has a statue in its center, 8 m from the edge. What is the distance around the fountain?(Use 3.14 for ? .)
A. 50.24 m B. 25.12 m C. 48.24 m D. 64 m
Decide whether the statement makes sense. Explain your reasoning.I donated 64 fluid ounces of blood today.
What will be an ideal response?
Consider the spheres shown in the figure.The sphere at the left shows two lines. In Euclidean geometry, we know that two lines are either parallel or cross at exactly one point. Discuss this property in relation to what you observe in the figure.
What will be an ideal response?
Graph the equation.y = x2 - 2x + 2
A. 
B. 
C. 
D. 