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Find all points on the ellipsoid 2x^2 + 3y^2 +4z^2 = 9 at which the plane tangent to the ellipsoid is parallel to the plane x - 2y+ 3z = 5
a forklift to raise a crate of pickles on a platform to a height 2.75 m above the floor. The combined mass of the platform and the crate is 207 kg. If the power expended by the forklift is 1440 W, how long does it take to lift the crate?
A bond with a face value of 100; 000 has coupons of 3% per annum payable semi-annually. It will be redeemed at par. It is purchased for a price of 91,825. At this price the yield to maturity is 4% per annum convertible semi-annually. Calculate the..
How much should the bank invest in each possible category? Let x, y, and z, respectively, be the amounts invested in bonds, certificates of deposit, and first mortgages. Solve the system of equations by the Gauss-Jordan elimination method.
Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
At the .01 level of significance, is there sufficient evidence to conclude that the mean bone marrow micro vessel density is higher before the stem cell transplant than after the stem cell transplant?
A consumer information magazine estimates that the real juice content of several drinks sold as snack drinks for children was 79.5% in 1999, compared to 86.25% in 1998.
Solve the system using elementary row operations on the equations of the augmented matrix. Follow the systematic elimination proceedure.
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
Six years after purchasing shares in a mutual fund for $7800, the shares are sold for $11,100. What is the total return in percentage and the annual return in percentage?
Describe some practical applications for fractions in your daily life and some challenges that you have experienced regarding the use of fractions.
A helicopter flies 192 miles against the wind in 2 hours. With the wind, it can fly 288 miles in the same amount of time. Find the speed of the helicopter in still air.
Describe at least three (3) influences on decision making by a judge. Indicate at least two (2) reasons why you believe these influences are the most influential to the process.
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