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A particle moves along the x-axis in such a way that its acceleration at time t for t>0 is given by a(t)=3/t^2. When t=1, the position of the particle is 6 and he velocity is 2.
(a) Write an eq for the velocity, v(t), of the particle for all t>0.(b) Write an eq for the position, x(t), of the particle for all t>0.(c) Find the position of the particle then t=e
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
Determine the dean's optimal strategy. The dean of the School of Business at Northern Connecticut State University has been approached by a government agency in Hunan Province, China, to provide MBA training to a group of 30 midlevel officials
Solve the system with any method - Find which of the given two pairs are solutions for the following system
Develop a point estimate of the mean value of y when x1 = 180 and x2 = 310 (to 3 decimals).
nick has a revolving department store credit card account with an annual percentage rate of 15% last month's balance on the account was $423.78 during the current month he made purchases totaling $123.42
A plane can fly 410 miles in the same time as it takes a car to go 100 miles. If the car travels 155 mph slower than the plane, find the speed of the plan.
The cruise-control function on Georgina's car should keep the speed of the car within 3mi/h of the set speed. Write a compound inequality to show the acceptable speed s if the set speed is 55 il/h. graph the solutions.
Kelly Fisher invested a total of $20,000 invested in two municipal bonds that have yields of 7% (bond A) and 9% (bond B) interest per year, respectively. If the interest Kelly receives from the bonds in a year is $1480, how much did she invest in ..
How much wire should be used for the circle in order to minimize the total area?
A 30cm pendulum traverses an arc of 15 cm. To the nearest degree, how many degrees of rotation did the pendulum swing?
a twin-engine aircraft can fly 1050 miles from city a to city b in 5 hours with the wind and make the return trip in 7 hours against the wind. What is the speed of the wind?
Choose one equation of each type: linear, quadratic, polynomial, rational, exponential, and log. Plot each equation on the same graph. Discuss and compare the appearance of each graph.
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