Identify the hierarchy of courts as laid down in the constitution. (5)

Describe the maternal age effect associated with down syndrome

Explain (write down) What makes a cell cancerous?

A bead slides down along a piece of wire that is in the shape of a helix. The helix lies on the surface of a vertical cylinder of radius r, and the vertical distance between turns is d. (a) Ordinarily when an object slides downhill under the influence of kinetic friction, the velocity-independence of kinetic friction implies that the acceleration is constant, and therefore there is no limit to the object’s velocity. Explain the physical reason why this argument fails here, so that the bead will in fact have some limiting velocity. (b) Find the limiting velocity. (c) Show that your result has the correct behavior in the limit of r → ∞.

9. For the differential equation: ?′′ + 2?′ + 5? = ?(?)

(a) Write down the auxiliary polynomial associated to this differential equation and find the roots of the auxiliary polynomial.

(b) Find a basis for the real solution set of the associated homogeneous differential equation ?′′ + 2?′ + 5? = 0.

(c) For each ?(?) that follows, write down the trial particular solution to ?′′ + 2?′ + 5? = ?(?), with undetermined coefficients. Do NOT solve the constants that arise in your trial solution.

(i) ?(?) = 120?^−?

(ii) ??(??) = 68 cos(2?)

(iii) ??(??) = 3?

(iv) ??(??) = 75?^−? sin(2?)

(d) Find a particular solution to ?′′ + 2?′ + 5? = 100 cos(2?) (show your work)

write down the java code for garden sprinkler system.

List down three ways of determination of good code.

1. Hence, if this supply of heat is cut down, obviously, there will be no source to make the water boiling and in that case, geyser will stop working or erupting. There are chambers of boiling water underground and if this supply is cut, eruption will stop.

Luke and Amy are saving for the down payment on a house. The houses in the area they prefer have an average selling price of $450,000 and they need a 10% down payment to ensure their mortgage payments are not too high. They have $30,000 saved that they can invest today at 6.5% (annual compounding).

a) How long before they will have enough for the down payment saved?

b) They want to buy the house sooner.  In addition to the $30,000 saved to date, how much would they need to invest each month (into the same investment) in order to have enough for the down payment in 2 years?

c) What would their payments be for part (b) if they made them at the beginning of the month instead of the end?