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1. water flows from a container at the rate of 2.5 litres per minute. The water flows into a tank that already holds 50 litres. How long in seconds is it before there are 765 litres of water to be in the tank?
2. a cylindrical tank currently holds 0.4 cubic feet of oxygen. if the rate to fill a cylindrical tank is 2 cubic feet per minute, how long would it take to fill the cylinder?
Space Constrained Inventories, A grocer has exactly 1,000 square feet available to display and sells 3 kinds of vegetables. The space consumed by each kind of vegetable is proportional to its cost
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity or inflection.
Find the critical value at the 0.05 level of significance for a goodness of fit test if there are 6 categories?
Average COFFDIFF, median COFFDIFF, smallest COFFDIFF
The sum of three numbers is 98. The ratio of the first to the second is 2:3, and the ratio of the second to the third is 5:8. Find the value of the second number?
What is the difference between domain and range? Describe a real-life situation that could be modeled by a function. Provide feedback about your classmates' answers.
What is the elongation in the (2, 2, 1) direction? What is the change of angle between two perpendicular lines (in the undeformed state) in the directions (2, 2, 1) and (3, 0, 6)?
What would be a reasonable density function for L?, b) What is the average distance that the worker needs to walk to the retrieval location (including units)?
An electric charge is distributed throughout 3-space with density inversely proportional to the distance from the origin. Show that the total charge inside a sphere of radius R is proportional to R^2.
Sketch both graphs. Find and label the intersection points. Find the area between the graphs using integration. Give the full integral, including limits, in proper notation.
Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick.
Objective questions on regression
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