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Demonstrate how intra and inter temporal choices models can make society incur an opportunity cost if not managed adequately and effectively
What do you understand by the concepts is intra and inter temporal choices model
12. Solve the recurrence relation an=an-1+n2,where a0=7 by substitution
A boy on a 2.0 kg skateboard initially at rest tosses an 8.0 kg jug of water in the forward direction. If the jug has a speed of 3.0 m/s relative to the ground and the boy and skateboard move in the opposite direction at 0.60 m/s, find the boy’s mass.
11. For arbitrary constants c1,c2, And c3 show that an=c12n+c25n+c3n5n satisfies the recurrence relations an-12an-1+45an-2-50an-3=0
2. Two solids of right section 2 and 4 are in pure rolling contact between the circular arcs. What is the angular speed ratio for the position shown? Determine the size of the angles , β, and Ø in degrees, and of the radii x and y in inches.
3. Two shafts, having axes in the same plate intersecting at an angle of 45°, turn in opposite senses at 30 rpm and 90 rpm. Draw a pair of cone to be located on these shafts and turn in pure rolling contact. Diameter of base of smaller cone is 1 in. Calculate the cone angles.
4. Two shafts A and B are connected by rolling cones and turn in the same direction. Shaft A makes 300 rpm while shaft B makes 100 rpm. Calculate the cone angle of each cone and the diameter of each base if the base of cone B is 2 in. from the vertex. θ = 30°
2. Two parallel shafts connected by rolling cylinders turn in the same direction 150 rpm and 100 rpm respectively. The smaller cylinder is 16 in. in diameter. How far apart are the axes of the shafts?
8. Find a generating function for the sequence (a0, a1,....ar.....), where ar=the number of non negative integral solutions to e1+e2 +....en=r where 0 less than or equal to e1 less than or equal to 1 for each i=1,2,3,.....n
3. Two parallel shafts, 24 inches apart and having a speed ratio of 3, are connected by cylinders in pure rolling contact. Determine the diameters of the cylinders: (1) when they turn in opposite directions; and (2) when they turn in the same direction.
Convert to the following decimal fractions to the form a\b where a and b€Z`b
1.3.1 0.1250
1.3.2 0.5
1.3.3 1.25
1.3.4 0.31
