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Suppose that a rock is thrown upwrd with an initial velocity of 96 ft/sec from a height of 880 ft. Its height h after t seconds is given by the function h(t) = - 16t^2 + 96 ft + 880.
What is the height of the rock after 0 sec? 1 sec? 3 sec? 8 sec? 10 sec?
Find an ewuivalent expression for h (t) by factoring.
A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1500 meters and 2800 me..
Ellie bought a circular etched-glass tabletop to use as her dining room table. The glass is 18 ft in diameter. Find the cost of the tabletop at $ 96 per square yard of glass.
Least common denominators are required for adding and subtracting rational expressions. What steps must be taken to obtain this requirement? Demonstrate the process with your own example.
Show that if we change the IVP to x(0) = 1, the same system , that is x' = 3 x^2/3, still has a unique solution on the interval ( minus infinity, plus infinity).
the base of a solid is an ellipse whose major axis and minor axis are 12 and 8cm long, respectively. what is the volume of the solid if every section perpendicular to the major axis is an is an equilateral triangle.
Estimate the relative error in the calculated surface area.
suppose a car sitting on a hydraulic left exerts a downward force of 1,750 N on a piston with an area of 0.6m squared. How much pressure does the car exert on the piston?
You have a brick of parallelepiped shape. You need to measure its diagonal (a distance between two opposite vertexes remote to the maximum).
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
find the height of a tree that casts a horizontal shadow of 110 ft when the angle of elevation of the sun from the tip of the shadow measures 62 degrees.
"You select a random sample of 150 people at a medical convention attended by 1,608 people. Within your sample, you find that 73 people have traveled from abroad. Based on this sample statistic, estimate how many people at the convention traveled ..
A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. Research question: At α = .05, does vehicle type vary by mall location?
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