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For the parametic curve x(t) = cos t y(t) = 1-sin^2t over 0 < t < pi,
a) sketch the underlying curve and then indicate the trajectory direction and starting & ending points.
B) Next, find the equation of the tangent line at t = pi/4
Minimizing the cost
Decompose 6i-3j-6k into vectors parallel and perpendicular to following vectors.
The size of a certain bacteria culture doubles each hour. If the number of bacteria present initially is 3000, how many would be present at the end of 6 hours?
Summarize each method, and discuss how the financial information is used to make a particular decision. Provide a scenario in a health care situation in which a given method of analysis might be used.
Could you clarify what constitutes a spanning set and a basis? Also how does one test to see if a set of vectors is a spanning set and if it is a basis?
If t denotes the time in years after 1980, find a formula for N(t), the population in millions at time t. Assuming that this rapid growth rate continues, estimate the population and the rate of population growth in the year 2000.
How does a partial derivative differ from an ordinary derivative? When should we use partial derivatives and when should we use ordinary derivatives?
A sample of 13 brands of caffeinated coffee had a mean caffeine level of 119.6 mg and a standard deviation of 52.5. The population is normally distributed. Compute a 90% interval for the mean caffeine level.
Which job should you take? After completing your degree you have a choice between 2 jobs suppose that you do not have a preference in location and have been given the following offer.
Evaluate the integral
An isosceles triangle whose base is the interval from (0,0) to (c,0) has its vertex on the graph of f, where f(x)=12-x^2 for x is greater than or equal to 0 and f(x) is greater than or equal to 0.
Explain how a surveyor could use this rope to form a right triangle.
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