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Consider a solid whose base is the region bounded by the curves y = -x2 + 3 and y = 2x - 5, with cross-sections perpendicular to the y-axis that are squares. Find a Riemann sum which approximates the volume of this solid and write a definite integral that calculates this volume precisely (you don't need to calculate it)
Find the (time) rate at which the volume is changing.
Example of Sets in applicable areas such as (market research, politics, medicine, etc.). For example, a college student may be in a particular category in a set depending on degree program:
the curve for xsqrtiny for 1ltylt4 is rotated around the y-axis to form a container. the container is filled with a
the standards for mathematics
on a recent day a store manager noted that 65 custumers bought at least eight items. This was one fifth of the total number of customers that day. Write and solve an equation to find the total mumber of customers.
A baseball team plays in a stadium that holds 60,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increase..
The second number is 2 more than the first. What are the possible values for the first of the two numbers?
the runners are running on circular tracks of which has a circumference of 1320 feet. the tracks are 100 feet apart and and the runners start opposite each other and move at the same constant rate of 880 ft/min. how fast are the runners separating..
In Aaliyah's grade, 2/3 of the students have a sister. Of the students who have a sister, 1/2 also have a brother. What fraction of the students in Aaliyah's grade have both a sister and a brother?
A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the variation of the amount of money spent on lunches. The variance of nine business dinners was $6.12 and the variance of 12 business lu..
Determine whether the following assertion is true or false: if you integrate the Fourier series for the delta function d(x) term by term you obtain the Fourier series for the step function s(x).
Solve the equations i. 6sinh theta - 4cosh theta-3=0 correct to 3 decimal places
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