Question Solved1 Answer Find the area of the region that is bounded by the line f(x) = -x – 3 and the curve g(x) = -x2 – x + 6 over the interval [-4, -2]. = = Enter an exact answer.

10. [T/6 MARKS] Determine if the two lines are parallel or not a) 7 = (1,2,3)+1(1,−2,3), F = (3,2,1)+ s(-2,4,-6)

At winter design conditions, a house is projected to lose heat at a rate of 60,000 Btu/h. The internal heat gain from people, lights, and appliances is estimated to be 6000 Btu/h. If this house is to be heated by electric resistance heaters, determine the required rated power of these heaters in kW to maintain the house at constant temperature.

ALTERNATOR (AC GENERATOR) 1. A part of an alternator winding consist of six coil in series, each coil having an e.m.f. of 10 v (r.m.s.) induced in it. The coils are placed in successive slots and between each slot and the next, there is an electrical phase displacement of 30°. Find the e.m.f. of the six coils in series.

Lychees are a sweet Asian fruit that is used as an ingredient in certain cocktail drinks. Suppose the popularity of lychees decreases by a lot and the labor costs to grow and harvest lychees increases by a little. In this scenario, the equilibrium price would ____ and quantity would O decrease; increase O decrease; decrease increase; increase O increase; decrease Question 11 Зре Leticia is an Uber driver who works at night. Last night, there was a large decrease in the number of Uber drivers willing to work. How will this change in supply affect the equilibrium, all else equal? Equilibrium price falls and quantity falls Equilibrium price rises and quantity rises O Equilibrium price falls and quantity rises Equilibrium price rises and quantity falls « Previous Next > SEP 17 tv (o Madsen BO Q F G 8C DE F6 DII FB $ 4 % 5 6 & 7 8 ( 9 R T Y U 1

5) Using Limits for the order of growth (L'Hopital's Rule), show log2 Neo (VN) (little-oh notation), explain why. 6) Using Limits for the order of growth (L'Hopital's Rule), show N! € 2 (2N), explain why. Stirling's formula states N! = 7(2*1 * N) * (N/e)N

5.12. Consider the AIRLINE relational database schema shown in Figure 5.8, which describes a database for airline flight information. Each FLIGHT is identified by a Flight_number, and consists of one or more FLIGHT_LEGs with Leg_numbers 1, 2, 3, and so on. Each FLIGHT_LEG has scheduled arrival and departure times, airports, and one or more LEG INSTANCEs- one for each Date on which the flight travels. FAREs are kept for each FLIGHT. For each FLIGHT LEG instance, SEAT_RESERVATIONs are kept, as are the AIRPLANE used on the leg and the actual arrival and departure times and airports. An AIRPLANE is identified by an Airplane_id and is of a particu- lar AIRPLANE_TYPE. CAN LAND relates AIRPLANE TYPEs to the AIRPORTs at which they can land. An AIRPORT is identified by an Airport_code. Con- sider an update for the AIRLINE database to enter a reservation on a particu- lar flight or flight leg on a given date. a. Give the operations for this update b. What types of constraints would you expect to check? c. Which of these constraints are key, entity integrity, and referential integ- rity constraints, and which are not? d. Specify all the referential integrity constraints that hold on the schema shown in Figure 5.8.