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Please explain how to solve the following:
1. Use the disk method to verify that the volume of a right circular cone is 1/3pir^2h.
2. Use the disk method to verify that the volume of a sphere is 4/3pir^3.
Solve the system of equations graphically. Then classify the system as consistent or inconsistent and the equation as dependent or independent.
Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
Please solve for the following system of equations. Include all of the steps which are involved:
Perform the indicated operation - Find the product. (x 3 - 5x 2 -1) 7x 2
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
The answer to Probability theory It is found that when a particular 4-sided die is rolled a 1 occurs 22.8% of the time, a 2 occurs 25.3% of the time, a 3 occurs 20.8% of the time, and a 4 occurs 31.1% of the time.
What score does a patient at the 75th percentile receive? d. What percentage of patients score between 185 and 199?
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
Conditions for Linear transformation. This chapter starts as follows rotations about the origin and all reflections in lines through the origin can be expressed as functions with rules of the form
Suppose u(x, y) and v(x, y) are harmonic in a region under? Under what condition is the product u(x, y) . v(x, y) harmonic? In particular, when is (u^2)(x, y) harmonic?
Evaluate double integral: (int from 0 to 1). (int from 0 to cos inverse y). [square root (1 + sin x) dx dy.
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
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