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1. Solve the eqaution, giving the exact solution which lie in [0,2π)
(a) sin(2x)=tan x
2. Start by drawing a diagram of the situation in your selected word problem. Clearly label which direction is north, south, east, and west in your diagram, and label the known sides and angles in your triangle. Then use the Law of Cosines or Law of Sines to solve the problem. Round your final answer to decimal places.
a. A car travels due east for 60 miles. Then it turns and goes 15 miles in the direction of N40?E. How far is it from the starting place?
Find the variance for the given data. Round your answer to one more decimal place than the original data.
Rational and Jordan Canonical Forms, Find the rational canonical form and the Jordan canonical form(if possible) for the linear tansformations f: R^3->R^3 given by the matrix
Where are you getting 300 from? What month are you starting the model from?
Use the method of separation of variables, with Θ(x,t) = X(x)T(t), to show that the function X(x) satisfies the differential equation X′′ - μX = 0 for some constant μ. Write down the corresponding differential equation that T (t) must satisfy
For this purpose it is useful to remember the definition of the natural logarithm as an integral involving 1/x and to draw rectangles and other geometric figures above and below the curve.
Draw a graph that models the swimmer's depth below the water's surface over time.
CAR POOLS A company car that has a seating capacity of six is to be used by six employees who have formed a car pool.
The value of a car, V = f(a), in thousands of dollars, is a function of the age of the car, a, in years.
Compare this number with the number of flops needed to form (adj A)/ (det A).
The cost in dollars for removing p percent of pollutants from a river in Smith County is C(p)=68800p/100-p Graph this function on your calculator. 1.Find the cost of removing 20%.
Let this be a three-dimensional scalar field - f(x, y, z) = (1)/(x2 + y2 + z2) - z, Determine the gradient grad f and the value of |grad f| in spherical coordinates
Determine the number of k-faces of the 3-dimensional crosspolytope X3 for k = 0, 1, 2. What is another name for X3?
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