A ship leaves its port and sails on a bearing of N33 50 E at

0 38 If the measure of angle A is 75 and the measure of angle C is 25 in a triangle ABC what is the measure of angle B

A window has the shape of a parabola above and a circular arc below Find the area of the window 10 7 10 ft 6 34 Use the dotted line as your y axis and the solid gray line as the x axis Find the distance from the z axis to the top of the circle Write the equation of the circle Write the equation of the parabola feet

y Find the value of the variable 450 450 y 60

Find the value of each variable Express in simplest radical for 5 14 X ly

Find the value of each variable Express in simplest radical form 1 30 60 30 X y

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For both of the following problems identify the function whose level curve is the surface described and use it to solve the integration problem a Integrate f x y z 22 over the hemisphere given by the equation x y z 4 for z 0 Hint If you choose the circle x2 y 4 as R note that z 0 in R and plug that into the integral in that instance Answer 0 b Integrate f x y z x y z over the portion of the plane 2x 2y z 2 that lies within the first octant which means x y z 0 Hint If you choose the triangle in the x y plane as R note that 20 here so you can plug that into f in that instance Answer 1

A rapid transit service operates 189 trains along five routes A B C D and E The number of trains assigned to each route is based on the average number of daily passengers per route given in the following table Use Webster s method to apportion the trains The standard divisor is 58 13 Route A B C D E Average Number of Passengers 1098 1349 1548 1514 5478 Route Number of apportioned trains A

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For each of the following graphs obtain a lower bound L A for the area enclosed by the curve by adding the areas of the squares enclosed completely by the curve Then obtain an upper bound U A for the area by adding the areas of the squares enclosed either partially or completely by the curve Notice the squares in the first graph are 1 by 1 squares and the squares in the second graph are 1 2 by 1 2 squares a L A b U A 2 1 0