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a. Represent each surface area as a definite integral, and evaluate the integral using your calculator s integral command.
b. Find the area of the surface when the graph of y = √(4 - x2) is rotated about the x-axis-
i. for 0 ≤ x ≤ 1, ii. for 1 ≤ x ≤ 2 , and iii. for 2 ≤ x ≤ 3.
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
Find the probability of receiving a phone call during a long drive between 9:00 a.m. and 8:00 p.m. You may assume phone calls are equally likely at any time of the day.
If we graph this data with Total Cost on the Y axis (Vertical axis) and the Quantity Produced on the X axis (Horizontal axis) what do you think will be the shape of the line
the lenght of a rectangle room is 7 feet longer than twice the width. if the room has a perimeter of 158 what are the rooms demensions.
The altitude of a triangle is increasing at a rate of while the area of the triangle is increasing at a rate of At what rate
1. out of 420 students who took a statistic test 310 passed. what percentage of the students passed the test?2. ritas
Identifying local maximum, local minimum.
A circular swimming pool has a diameter of 20 m, the sides are 3 m high, and the depth of the water is 2.5 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 m/s^2 and the densi..
a twin-engine aircraft can fly 1050 miles from city a to city b in 5 hours with the wind and make the return trip in 7 hours against the wind. What is the speed of the wind?
The price function for selling Squinks is p = 165 - 6x. Sales are 36 per day and dropping at 5 per day. How quickly is revenue changing?
The number of women who use a computer at work in Elbonia can be modeled by the equation y = 8,793x + 18,001, where x is the number of years from now. How many Elbonian women will be using a computer at work 10 years from now if this trend continues?
Assume that the average annual salary for a worker in the United States is $27,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following:
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