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1. Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of y = (1/3)x3 where 0 ≤ x ≤ 3 about the x-axis.
2. Find the arc length of the graph of the function y = x3/2 over the interval [1, 8].
3. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by y = 0.5 x2 + 1, x = 0 and y = 4 about the y-axis.
a college bookstore has been selling one particular tee shirt for a year now. during the fall term 100 were sold at a
consider de quadratic function yaxsup2bxca. use the mathematical and graphical analyses to deterine the equation of the
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
a building is 48 meters high and casts a shadow 30 meters long. A person casts a shadow 0.8 meters long. How tall is the person?
Create a piecewise function that accurately represents Ben's charges based on his cellphone plan.
A container in the shape of an inverted pyramid with a square base of 2 m by 2 m and height of 5 m is filled to a depth of 4 m with corn slurry. How much work is required to pump all the slurry over the top of the container?
On the domain [-1, 5], at which point or points does F have an inflection point? On the domain [-1, 5], at which point or points does F have a global minimum
justin had $33 dollars before spending n dollars on jeans. How much money remains?
If voters can choose to leave any item blank, how many different ballots are possible?
Probability based on normal distribution.
A graph of the plane curve x(t) = t3-4t, y(t) = t2. The graph crosses itself at the point (0, 4). Find the equations of the tangent lines at this point.
Forty percent of a radioactive substance decays in three years. By what percent does the substance decay each year? (Round your answer to three decimal places.)
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