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1. A train on the Bay Area Rapid Transit system has the ability to accelerate to 80 miles/hour in half a minute.
A. Express the acceleration in miles per hour per minute.
B. Starting from rest, how fast does one of the trains move after 20 seconds?
2. An 1100-kilogram automobile loses speed at a rate of 0.5 meters/second per second. What is the net amount of work on the automobile as it moves a distance of 800 meters.
y=f(a^x) and f(sinx)=lnx find dy/dx Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1) but f(sinx) = lnx implies f(x) = ln(arcsinx) hence f''(x) = (1/arcsinx) (1/ ( ( 1-x
1) find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2)compute the work done by the force field F(x,y,z) = x^2I + y j +y k in moving
From the top of a 200 m lighthouse, the angle of depression to a ship in the ocean is 23 . How far is the ship form the base of the lighthouse?
The angles between three non-zero and non coplanar vectors a,b and c are α between b and c and β between c and a and γ between a and b. The vector u and v are defined by u=(aX
A card is chosen at random from a pack of playing cards.what is d probability that it is either a heart or the queen of spades
a3-a2+a-1
5+5
Eduardo is merging two 6-inch pieces of wood with a piece in which measures 4 inches. How many total inches of wood does he have? This problem translates to the expression 6 ×
which physics law is used to describe heat loss in cylindrical pipe
Errors Are Useful : While teaching children, you must have found theft making mistakes off and on. How do you respond to the errors'? What do they tell you about the child-failur
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