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A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=88t-16t^2. What is the maximum height that the ball will reach?
let f(x)=x^3+1. Find the point(s) on the graph of f where the slope of the tangent line is equal to 12, and find the equations of the tangent line at these points.
a trapezoid has an area of 80.75sq. in and its two bases are 7 and 12 inches long. find the height of the trapezoid.
One of the students in my class was absent the day of the test. The teacher announced that the class average for the 24 students who took the test was 75%.
Sam purchased 1000m2 of material and needed to cut it into rectangles of area 200cm2 for a patchwork quilt. This can be done with no waste. How many rectangles can Sam make.
A plane flying horizontally at an altitude of 7 mi and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 10 mi away from the station. (Round to the ..
the dunbar family consists of a mother, a father and some children. The average age of the members of the family is 20. The father is 48 and the average age of the mother and the children is 16. how many children do they have?
What is the probability of- a white chip on the first draw? An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn.
Use the Laplace transform to solve the given system of differential equations.(d^2 x)/(dt^2 )+(d^2 y)/(dt^2 )=t^(2 ) (d^2 x)/(dt^2 )-(d^2 y)/(dt^2 )=4t x(0)=8 x^' (0)=0 y(0)=0 y^' (0)
If you are 18 years old, deposit $3,660 each year into a Roth IRA for 52 years at 3.9% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
Set up and solve using Management Scientist, Excel Solver, or an online LP solver. What are the values of X and Y at the optimal solution?
An architect has allocated a rectangular space of 264 ft second power for a square dining room and a 10-ft wide kitchen. Find the dimension of each room.
A bike wheel has a diameter of 85cm. In one day the bike wheel does 380 revolutions. How far has the bike cycled. Give your answer to the nearest metre.
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