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Consider a new coordinate system (Kotesian coordinates) where
u = (x + y) / 2, v = (y - x) / 2, W = Z1/3.
What are the level surfaces for this coordinate system?
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
Find the rate at which the water is draining from the tank after 5 minutes, 12 minutes, and 20 minutes.
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
Let T be an exponential random variable with parameter λ.let X be a discrete random variable defined as X=k if k
Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 5.5 mi2/hr. How rapidly is radius of the spill increasing when the area is 11 mi2?
Probability - Frequency Of Dice Rolls, When a pair of dice is rolled, the total will range from 2 (1,1) to 12 (6,6). It is a fact that some numbers will occur more frequently than others as the dice are rolled over and over.
Let x represent the width of the original piece of cardboard. Determine a function V that represents the volume of the box in terms of X.
3. Entrepreneur of a product estimates that when q units of his items produced every month, the average total profit (in thousand RM) is P ¯(q)= -1.125q+45-200/q. Find the company's maximum profit.
Eliminate the parameter to find a Cartesian equation of the curve.
Find the critical points of the function and determine whether the critical point is a local minimum or maximum or neither. Enter your answers as a comma-separated list.
what will happen to the volume of a cube with a side measurement of 6cm if its length is double? note the cube retain its shape.
Bert borrowed $7500 from Delores on November 7, 1997. When Bert repaid the loan, Delores charged $190.02 interest. If the rate of simple interest on the loan was 6 3/4%, on what date did Bert repay the loan?
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