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]

Use the elimination method to find the solution to the system of equations. 2x - 3y = -9 -x + 3y = 6

Which graph corresponds to the function f(x) = x2 + 4x – 1?

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).