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Given the position vector r(t) = (2t2)i + (1 - 4t2)j
a. Determine the velocity acceleration and speed at time 1 = 2.
b. Find the distance and displacement over 0 ≤ t ≤ 1.
The stopping distance D of a car after the brakes have been applied varies directly as the square of the speed s. A certain car traveling at 40 mi/h can stop in 136 ft. What is the maximum speed it can be traveling if it needs to stop in 160 ft? (..
find the eqation ofa parabola whose foci are (5,2)and whose equation of diectrix is 2x+3y=0
A zoo has the following animals that can all be on exhibit individually or in combinations: {impala, ostrich, helmeted guinea fowl, vulturine guinea fowl, giraffe and elephants}. a. How many different combinations (subsets) of these species can be ex..
the faculty senate at a large university wanted to know what proportion of the students thought a foreign language
Use the Klein model to show that in the hyperbolic plane
emakers of America forecasts the following demand for the next 6 mos: 5000 pairs in month 1, 6000 pairs in month 2, 5000 pairs in month 3, 9000 pairs in month 4, 6000 pairs in month 5, 5000 pairs in month 6. It takes a shoemaker 15 min to produce ..
A father and his son can clean the house together in 7 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
A ball is dropped from a point 4 m away from the pole. Find how Fast the shadow of the ball is moving when the ball is 2 m above the ground and moving at a speed of 9 m/sec.
Khairul orders one set meal at a restaurant which offers 20% discount. There is a service charge of 10% and GST is at 7%. Given that he pays a total of $23.54, what is the marked price of the set meal
A cubical box measures 55 centimeters on each side. If the contents are worth $0.17 per cubic centimeter, how much are the contents worth?
An accounting firm is planning for the next tax preparation season. From last year's returns, the firm collects a systematic random sample of 100 filings. The 100 filings showed an average preparation time of 90 minutes with a standard deviation of 1..
A Stirling number Snk is definedc as the number of ways of partitioning the set of positive numbers (1,2,3,....n) into k non empty subsets.
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