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A snowmobile is running across a level, snow-covered surface at 8ft/s when the engine cuts out. Due to viscous forces of the snow over the skis, the sled has a velocity-dependent acceleration a = -0.1v^2, where v is the velocity of the sled. *find an expression for the velocity vs. distance. *what is the velocity after the sled has traveled 15ft? *find an expression for the distance traveled with respect to time. (hint: v = ds/dt , where s is distance. *sketch the graph of this function. Does it agree with your intuition? Describe why or why not.
find a formula for K in terms of m and v.
What does the final row of the augmented matrix in echelon form (the above description) tell you about the solution to the system of 5 linear equations?
Kelly invested $1,500 in the stock market on January 1. She lost 1/3 of it by the end of January and 2/5 of the remaining amount by the end of February. How much did she have left?
Two investments are made totaling $8800. For a certain year these investments yielded $1326 in simple interest. Part of the $8800 was invested at 14% the part at 16%. Find the amount invested at each rate.
Let K be a normal subgroup of G, and both K and G/K are simple. Show that either K is the only nontrivial proper subgroup of G, OR G is isomorphic to K x (G/K).
Determine the equation of g(x) that results from translating the function f (x) = x^2 +1 upward 2 units.
A plane is heading due south with an airspeed of 225 mph. A wind from a direction of 50° is blowing at 13 mph. Find the bearing of the plane.
the regular supplier, company y, charges $150 for the first 100 microchips. how much will it cost company x to purchase 2000 microchips from company y?
Direct Products of Groups, Conjugate Subgroups, Homomorphisms and Isomorphisms, Assume that K is a cyclic group, H is an arbitrary group and f1 and f2 are homomorphisms from K into Aut(H) such that f1(K) and f2(K) are conjugate subgroups of Aut(H)
Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 240.
suppose that for a certain company c(x)=45x+500,000 represents the total cost function, and R(x)=55x represents the total revenue function. Find the total-profit function and break-even point.
Use the quadratic formula to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.
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