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Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second. How fast is the radius increasing after 3 minutes? At what time (if any) is the radius increasing at a rate of 120 feet per second?
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
Do the data indicate a significant difference in average off-schedule lime? Use a 5 percent level of significance.
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 500 liters in the pond to start.
A plane is heading due south with an airspeed of 227 mph. A wind from a direction of 60 degrees blowing at 16 mph. Find the bearing of the plane.
What is the velocity of a liquid in a pipe that has a flow rate of 5ft3/s and a diameter of 6 inches ? please show the steps in detail ?
The equation for the mid-span deflection of a simply supported beam carring a uniformly distributed load can be determined from. Taking care with units, use this transposed equation to find the maximum length of beam that can be used if the midspan..
Important information about Sets and Probability, A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following.
An open-topped cylindrical pot is to have volume 125in^3. What dimensions will minimize the total amount of material used in making this pot?
Test at the five percent level of significance
Write down an expression for the variance function and identify the canonical link function and A generalised linear model has independent normal responses
The triangle (15,34, 35; 252) is the smallest acute Heron triangle indecomposable into two Pythagorean triangles. Realize it as a lattice triangle, with one vertex at the origin.
Calculate the value of appropriate test statistic
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