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The curve for x=sqrt(In(y)) for 1<=y<=4 is rotated around the y-axis to form a container. The container is filled with a fluid that weights 80ib/ft^3. Length unites for x and y are in feet.
(a) Set up a definite integral (with respect to y) for the work (in ft-lb) required to empty the container by pumping all of the fluid to the top of the container. (Note: Do not use the acceleration due to gravity; pounds are already a unit of force.)
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
Use row operations on the augmented matrix to solve the given system of linear equations:
At each trial of a game, Don and Greg flip biased coins, simultaneously but independently. For each trial, the probability of heads is pD and pG for Don and Greg, respectively.
Gold temperatures. Gold stays solid at Fahrenheit temperatures below 1945.4°. Determine (in terms of an inequality) those Celsius temperatures for which gold stays solid.
What is the null hypothesis? What is the alternative hypothesis? What is the type of test statistic? What is the degree of freedom?
Kernel of phi, Let phi is a homomorphism from Z30 onto a group order 3
Use a change of variables to find the volume of the solid region lying below the surface f(x,y)=x^2 and above the plane region bounded by the line 2y - x = 1, 2y â?" x = 0, x = 1, and x = 2.
graph the function and answer the question using graph.suppose the cost of cleaning contaminated soil from a dump site
the perimeter of the basketball court is 114 meters. If the length is 6 more than 2 times the width, what is the width and length?
If there are 398 programming hours available, 164 graphic artist hours available, and 58 mathematician hours available, how many copies of each software can be produced?
Two mechanics worked on a car. The first mechanic worked for 5 hours and the second mechanic worked for 15 hours. together they charged a total of $1500. What was the rate charged per hour by each mechanic if the sum of the two rates was $130 per ..
Elena's daughter sold 78 boxes of Girl Scout cookies. She was told that this amount represented 20% of the troops sale. How many boxes did the troop sell?
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