The area of the region R is bounded by y=(cos x +2)^-1/2 x=0,x=π/2 and the x axis .Use the trapezium rule with ordinates x=0,x=π/4 and x=π/2 to show that R is approximately π/16[√2+4(2-√3)^1/3 +2]

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.

Asquare has a side that measures 11 units. what is the area of a circle with a circumference that equals the perimeter of the square? use 3.14 for π, and round your answer to the nearest hundredth. 1519.76 units2 379.94 units2 616.56 units2 154.14 units2

Find the solution of each of the following.