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Question: 1. A culture of 100 bacteria doubles after 2 hours. How long will it take for the number of bacteria to reach 3,200?
2. If f(x) = a ln(x + 2), how does increasing a affect
(a) The y-intercept?
(b) The x-intercept?
A rocket is launched from atop a 95-foot cliff with an initial velocity of 119 ft/s.
Suppose you have a square yard that is x feet on each side. Suppose you put a 2 1/2 foot sidewalk around the edge of this yard, reducing the area of the yard. What is the new area of the yard? What is the total area of the sidewalk?
Given the flow graph in Fig., calculate the transfer function and the impulse response of the LTI system of the realization.
The sleepers of a railway track which is turning round a bend of radius 60m are banked so that a train traveling at 40 km/hr exerts no lateral force on the rails. Find the lateral force exerted on the rails by an engine of mass 10^5 kg when travel..
The supply of ocean water is essentially unlimited. Hint: Work this problem on the basis of profit per ounce of gold extracted
Amy and Jane have 27 coins. Jane and Gred have 24 coins. Amy and Greg have 23 coins. How many coins does Jane have?
The school cafeteria has found that they go through 10 sandwiches for every 8 tickets they sell to the students. Today they have 720 sandwiches available. How many lunch tickets can they sell today?
Show that the following quadrature formula has degree of precision equal to 3, -1∫1 f(x) dx = f(-√3 / 3) + f( -√3 / 3).
A factory produces fuses, which are packaged in boxes of 18. Six fuses are selected at random from each box for inspection. The box is rejected if at least one of these six fuses is defective. What is the probability that a box containing nine def..
The region R is bounded by the graphs of x-2y = 3 and x=y^2. Set up (but not evaluate) the integral that gives the volume of the solid obtained by rotating R around the line x=-1.
A catalog describes two types of freezers. Type A has a storage capacity of 60 cm x 60 cm x 150 cm and costs $339; type B has a storage capacity of 55 cm x 72 cm x 160 cm and costs $379. Which freezer gives you more cubic cm per dollar?
If the water level is rising at a rate of 20.000 centimeters per minute when the height of the water is 2.500 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
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