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in an optimal environment, a bacterial population grows exponentially. At noon in the sewage treatment plant, experimenters introduce specially cultured bacteria into a barrel full of rich nutrients. We will assume that the bacteria population in the barrel is modeled by an exponential function.
Let N(t) be the number of bacteria after t days. Then N(t)= Pa^t for some constants P and a. Measurements indicate that N(2)= 5400 and N(6)= 382000.
Write down 2 equations to compute a and P, one when t=2 and the other when t= 6.
Use these equations to compute P and a. Round your values to three sig digits.
Points A and B move along the x- and y-axes, respectively, in such a way that the perpendicular distance r from the origin to AB remains constant. How fast is OA changing, and is it increasing or decreasing, when OB=2r and B is moving toward O at ..
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
Application of differentiation and integration on real world problem - Show the cost of running the car air conditioner vs. just rolling down the windows. Irecommend you investigate the google searches on Air conditions fuel efficiency car and Ai..
The store owner can order jackets in lot sizes of 10 units. How many jackets should the store owner order if she wants to maximize the expected profit?
Find the instantaneous velocity when t = 1. Please show me all the steps, explain to me what instantaneous velocity is and how it is calculated (formula).
A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees.
describe the steps neccessary to calculate the theroretical probability of, drawing 2 red cards one after another (with replacement)from a given deck
A high school graduating class is made up of 360 students. There are 118 more girls than boys . How many boys are in the class?
Suppose that V and W are vector subspaces of Rn. If I define: How can I prove that V+W is also a vector subspace of Rn and ALSO how could verify that (for example)
let f(x)=x^3+1. Find the point(s) on the graph of f where the slope of the tangent line is equal to 12, and find the equations of the tangent line at these points.
If hazelnuts sell for $6 per pound and chocolate sells for $3 per pound, how pounds of each must they mix to get their desired product?
You solution must contain all work necessary to solve the problem. In addition, you must include complete explanation of your reasoning and the explanations of the steps you took toward the solution.
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