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Find the general solutions of the linear system using the method of elimination.
x'=4x+y+2ty'=-2x+y
The answer is:x(t)=a1e^(2t)+a2e^(3t)-(1/3)t+(1/18)y(t)=-2a1e^(2t)-a2e^(3t)-(2/3)t-(5/4)
The perimeter of a rectangle is twice the length plus twice the width. The area of a rectangle is the product of its length and width. Suppose we let l represent the length and w represent the width of a rectangle.
Suppose that at a certain instant the volume is 550 cubic cm, the pressure is 80 kPa, and the pressure is increasing at a rate of 100 kPa per min. At what rate is the volume decreasing at this instant?
Characterize completely the random variable that is Bin(49, 0.3).
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify.
Make up a differential equation that you feel confident possesses only the trivial solution y = 0. Explain your reasoning.
Test at the 5% level of significance.
A Pyramid is 785 ft high (due to erosion, its current height is slightly less) and has a square base of side 3140 ft. Find the work needed to build the pyramid if the density of the stone is estimated at 180 lb/ft^3.
The minute hand on a watch is 9 mm long and the hour hand is 5 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
Responses to Other Students: Respond to at least 2 of your fellow classmates with at least a 1-paragraph reply about their Primary Task Response regarding items you found to be compelling and enlightening.
Compare your observed values of the test statistic in parts F & G. What conclusion do you reach from this comparison?
triangle ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Find the orthocenter of triangle ABC.
A baseball diamond is a square with side 90ft. A batter hits the ball and runs toward first base with a speed of 24ft/s. At what rate is her distance from second base decreasing when she is halfway to first base?
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