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A series circuit contains a resistor with R = 24 , an inductor with L = 2 H, a capacitor with C = 0.005 F, and a 12 V battery. The initial charge is Q = 0.001 C and the initial current is 0." Find the charge and current at time t
A missile is fired vertically intothe air.the distance s(in m)above the ground as a funcation of time t(in s)is given by s=100+500-4.9t^2. when will the missele hit the ground?
Matrice operations
The surface is defined by the equation x^2 - 2y^2 + z^2 +yz = 2. Write equations of the tangent plane and normal line to this surface at the point P(2, 1, -1)
In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of -glucono lactone into gluconic acid, for example, when is measured in hours.
money is deposited into the account at a continuous rate of $2000 p.a at a continuous rate of 8% p.a compounded quarterly. Express the amount as an exponential function of time hence find the amount in the account after 5 years.
Assume the readings on a thermometers are normally distrubuted with a mean of 0 degree C and a standard deviation of 1.00 degree Celsius. Find the proabilitys that a randomly selected thermometer read leass than 1.43.
What then is the chance that there will be a need for exactly 2 ambulances during that time slot on any given Wednesday morning?
a ball is dropped from a bridge at an initial height of 70 meters. what is the height of the ball to the nearest tenth of a meter exactly 2 seconds after he realeases the ball? how many seconds after the ball is released will it hit the ground?
How many bars and shakes should he consume daily while maximizing his protein intake? What is the maximum daily protein intake?
motorboat travels 192 miles in 3 hours going upstream. it travels 306 miles going downstream in the same amount of time. what is the rate of the boat in still water and what is the rate of the current?
A woman exerts a horizontal force of 10 pounds on a box as she pushes it up a ramp that is 7 feet long and inclined at an angle of 30 degrees above the horizontal.
Two poles are set a = 10 feet apart, but the point of attachment P for the rope is yet to be determined. If the total walk is to be 65 feet, determine the distance from P to the ground.
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