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a water tank has a cross section in the shape of an isosceles trapezoid which is ten feet wide at the top and six feet wide at the bottom. The tank is four feet high and thirty feet long. Water is pumped into the tank at a rate of two cubic feet per minute. How fast is the level of water in the tank rising when it is one foot from the top of the tank?
Suppose you have a mean standardized score of 1000 points with a standard deviation of 200 points.
An element e of a monoid M is called an idempotent if e^2 = e. If M is finite, show that some positive power of every element is an idempotent.
Compute the coecients of the polynomials using the term recurrence relation.
A pilot flies south 100 miles then east 100 miles then north 100 miles and ends up back where she started. Where might she have started?
Please show a detailed solution to this problem. Pleas show the curve and vectors together in a sketch. Find the unit vectors that are tangent and normal to the curve at the given point:
Graphing the trigonometric function.
A committee of four is to be randomly selected from a group of seven teachers and eight students. Find the probability that the committee will consist of four students.
The ordering and transportation cost C for the components used in manufacturing a product is C=200(500/x^2 + X/x+300), x > or equal to 1 where C is measured in thousands of dollars and x is the order size in hundreds. Find the rate of change of C ..
Use the mathematical and graphical analyses to determine the equation of the above function if the parabola cross the line y=2x at two points with the x-coordinates 0 and 10. and determine the domain and range of the variables
Find the horizontal asymptote and y-intercept for a given function - Explain the transformations on the given graph
Equation of the hyperbola if equations of Asymptotes are given - Determine angles between the Asymptotes of the Hyperbola.
You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. What is the minimum number of cards you must pick in order to guarantee that you get (a) a pair
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