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For the graphs of f(x) = cos x and g(x) = sin 2x on the interval 0≤ x ≤ Π/2,
a. Calculate the points of intersection of the graphs.
b. Sketch by hand the region bounded by the graphs.
c. Set up and evaluate the definite integral for the area of the region.
a plane flies 400 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 29 mph, what is the speed of the plane in still air?
jim is retaking statistics as part of his doctoral program. on his final in his ma program he received a 225. the class
Write the related multiplication or division sentence. Draw a quick picture that shows the sentence. 18-6-6-6=0
1 imagine you are tutoring a classmate in the four algebraic processes. define each process and provide an example of
A boat can travel 46 mph in still water. If it travels 270 miles with the current in the same length of time it travels 190 miles against the current, what is the speed of the current?
describe your process for factoring it completely. Be sure to use three or more sentences in your explanation. If the polynomial can be factored, then factor it showing your work.
A farmer has 700 ft of fence with wich to fence a rectangular plot of land. The plot lies along a river so that only 3 sides need to be fenced. Estimate the largest area that can be fenced.
Let the sum from n=m to infinity of a_n be a series of real numbers converging to x, and let k be an integer. Then the sum from n=m+k to infinity of a_n-k also converges to x.
What is the probability of drawing three queens in a row from a deck of cards when the drawn card is returned each time?
Members of an indefinitely large population are either immune to a given disease or are susceptible to it. Let Xn be the number of susceptible members in the population at time period n and suppose X0 = 0 and that in the absence of an epidemic X(n+1)..
A farmer has 90 feet of fencing with which to enclose two rectangular pens adjacent to a long existing wall, as shown below. He will use the wall for one side and the available fencing for the long side parallel to the wall
the altitude hin ft of a jet that goes into a dive and then again turns upward is given byht16t3-240t210000where t is
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