MATHS
Logan Academy students take part in four field trips during the school year. They visit a library, a museum, a park, and a zoo. How many different ways can the four trips be ordered for the school year?
Calculus
Estimate ç4 1 ln(x)−3dx using 6 midpoint rectangles
Maths
Find the values of x when, x raised to the power root x = x raised to the power x whole under root.
Mathematics
Find the values of x when, x raised to the power root x = x raised to the power x whole under root.
Calculus
An animal population is increasing at a rate of 150+20t animals per year. By how much does the animal population increase between year 5 and year 8?
physics
The figure below shows three circuits, each consisting of a switch and two capacitors, initially charged as indicated. Let qL represent the charge on the left-hand capacitor in each circuit. The switches in all circuits are then closed.
physics
A group of swimmers is resting in the sun on an off-shore raft. They estimate that 2.85 m separate a trough and an adjacent crest of surface waves on the lake. They count 13 crests that pass by the raft in 20 s. How fast are the waves moving?
Calculus
At 2:00 PM a car's speedometer reads 30 mi/h. At 2:10 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:10 the acceleration is exactly 120 mi/h^2.
Calculus
Suppose that 3<= f'(x) <=5 for all values of x. Show that 18 <= f(8)-f(2) <=30.
physics
A 0.4 kg hockey puck moving at 30 m/s hits a straw bale, stopping in 1.4 s. What impulse was imparted to the hockey puck?
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