8.(5.5 in the ry-plane we want to go from a(0,0) to b(9,6) along the lines of the form z = i and y = j are integers with the shortest paths. let c(3,3 and d(4,3 (i, j (1) how many ways are there? (2) how many ways are there via d? (3) how many ways are there if the road from c to d is closed?

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 (%).

Ab and bc are tangent to circle d. find x is ab = 3x + 8 and bc = 26. find x

Asinusoidal function whose frequency is 1/6pi