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Calculus
In physics, momentum P is defined by P=mv (where m stands for mass and v stands for velocity). A block of frozen nitrogen initially has mass 2kg and travels at 8meters/sec. It is accelerating at 0.5meters/sec2 and losing mass by melting at 0.1kg/sec. What is the rate of change of the momentum after 4 seconds?
Calculus
use double integrals to find the volume of: the region beneath the plane y+z=1 and above the triangle with vertices (0,0), (1,1), and (0,1)
Calculus
Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f(x)=4-3*(1+x^2)^-1, F(1)=0
Calculus
f(x)=fourth root of x^3 + cubed root of x^4. Find the most general antiderivative of the function. (Check your answer by differentiation)
Calculus
I need to integrate the function x/e^x. Thank you
Calculus
(1+ i )^32 ... Give the answer in the form z = a + bi.
Calculus
Historically, there have been several major oil spills. Wild life suffers greatly and the ecosystem is thrown into disarray. Time is of ultimate concern and goals are to stop the flow of oil from the tanker and confine the oil spill using floating containment booms as quickly as possible. An old taker has gone aground on a reef and has punctured the oil tank. Oil is now flowing out of the tanker and creates a circular iol slick that is about 0.1 foot thick and the radius was calculated to be increasing at .32 foot/minute when the radius of the circle was at 500 feet. NOTE: a typical oil tank is about 330 yards x 60 yards x 30 yards and is close to rectangular box.
A) In general, at what rate is the volume of the ship’s oil decreasing? What is the rate of change of the volume when the spill is at 500 feet? (Volume of oil decreasing = volume of oil increasing)
B) If the oil were to leak at an average rate of that found in part A, how long will it take if the hole in the tank is no repaired before all of th
A) In general, at what rate is the volume of the ship’s oil decreasing? What is the rate of change of the volume when the spill is at 500 feet? (Volume of oil decreasing = volume of oil increasing)
B) If the oil were to leak at an average rate of that found in part A, how long will it take if the hole in the tank is no repaired before all of th
Calculus
the graph of a function is on the interval [-3,3] and f(x)= x^2 +ax+b the absolute minimum is (-2,2) find f(1)
Calculus
Find the least upper bound (if it exists) and the greatest lower bound (if it exists) for the given set.
[5,7]
[5,7]
Calculus
find the point on the curve y= cosx closest to the point (0,0)
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#340153 on Dec 2023
#340153 on Dec 2023