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A plane has an airspeed of 195 miles per hour and a heading of 20°. The ground speed of the plane is 207 miles per hour, and its true course is in the direction of 36°. Find the speed and direction of the air currents, assuming they are constants.
Find an equation for each of the following trig functions
Probability of Defective Resistors: DeMoivre-Laplace Theorem, A manufacturer of electronic equipment buys 900 resistors for which the probability of any single resistor being defective is p = 0.01.
Probability that both circuits are defective, A factory worker places 93 newly created circuits on a shelf to be checked for quality. Of these, 8 will not work correctly. Suppose that she is asked to randomly select two circuits
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
Using MatLab, compute H^-1H for various n between 5 and 15. Describe the results and comment on the difference between the MatLab output and what is expected the answer to be
What is a complex fraction? What are the two ways to simplify a complex fraction? Show an example. What is the least common denominator? How do we use the least common denominator when adding rational expressions?
An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15% of individuals known to be cancer-free (false positive)
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
Suppose G is a finite group with the property that every non-identity element has prime order (D3 and D5 are examples of groups with this property).
Use a wire of length x to bend into a shape of rectangle, a square, and a circle. Which shape has the largest area? *show which is largest* write functions
if you usually purchase 400 motore per month, what percent would be saved per month by ordering 800 every two months?
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
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