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1. Utility function is given by the equation

A car is moving at 17.7 m/s when it begins to slow down with a deceleration of 2.5 m/s2. How long does it take for the car to travel 80 meters as it slows down?

 


A box contains 3

,

200

 stripped marbles that are either yellow, blue, or red. If 30

percent of the marbles are yellow and 40

 percent are blue, what percent are red?


In an R-L-C series circuit, the differential equation for the instantaneous charge q(t) on the capacitor is   2 2   d q dq q L R Et dt dt C . Determine the charge q(t) and current i(t) for a circuit with R  10 ohm, L = 1 henry, C = 2 10 farad and E(t) = 50 10 cos t volts. What is the steady-state current for this circuit? [10] 


Marcus provides math tutoring lessons to ICON students. The amount of hours he is willing to tutor (supply) (Q) depends on the price he charges (P) in the following way: Q= 3P+2. The demand for his tutoring services is given by Q=5-2P. 

If the math professor increases the amount of office hours during which she is available to students, then


Use inductive reasoning to predict the most probable next number in te following lists. 2, 5, 10, 17, 26, (?)



You have a 7 meter board. You wat to cut your board into 2/3 meter pieces. How long will each piece be? Set up and solve.



680 students are seeking admission into the three universities, UNILAG,UNN,UI but 40 students were not admitted that year.100 students were offered admission to both UNILAG and UNN and 50 students went to all the three universities. Although, the number of students admitted to UNILAG,UNN and UI are 390,350, and 140 respectively. Find with the aid of Venn diagram, how many students were admitted.
a) Only to one university
b) Exactly to two university
c) Both UNN and UI

Given: The set of natural less than 7. Present set C in set-builder notation. 


Set Notation Method:

C = _______________________ 


A restaurant offered cooking classes on 12 out of the 30 days in November. What decimal is equivalent to

the fraction of days in November that classes were offered at the restaurant?


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