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A semicircular plate rests on the x-axis, between x = -2 and x = 2. Assuming that the density of the plate varies with a continuous mass-density function given by ρ(y) = (1+y) gram / square cm, find the total mass of the plate.
Then explain how the values of the slope affect the overall meaning of the equation.
An object is dropped from the top of a 576 feet tall building. The height h (in feet) of the object t seconds after it is dropped is given h+-16*t^2+576. How long does it take the object to hit the ground?
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with a diameter 50m. (Answer should be in cubic meters, rounded to two decimal places.)
Provide Description of Card Probability. What is the probability that exactly one suit is represented among these 8 cards? Exactly 2 suits?
Find the volume of the solid obtained by revolving the graph of y=8x*sqrt(16-x^2) over [0,16] about the y-axis.
Estimate the relative error in the calculated surface area.
Find the following antiderivatives for each integral
A lottery has one $2000 prize, two $1000 prizes, and ten $500 prizes. Two thousand tickets are sold at $5 each. Find the expectation if a person buys two tickets.
The demand function for a certain make of ink-jet cartridge is the following where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand.
geometry is a very broad field of mathematics composed of a wide range of tools that can be used for problem solving.
A nibble is made of four bits. what is the decimal range of all nibbles?
Determine the cubic (up to and including the third power of t) approximation of f(t) and calculate the accurate and approximate values of f(0.02) giving your results correct to 3 decimal places.
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