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Two particles A and B move to the right along a horizontal line. They start at a point a, s meters is the directed distance of the particle from 0 to t seconds, and the equation of motion are: s= 4t^2 +5t (for particle A) and s= 7t^2 +3t (for particle B) If t=0 at the start, for what values of t will the velocity of the particle A exceed the velocity of particle B.
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
Assume that n is a positive integer. Use the proof by contradiction method to prove: If 7n + 4 is an even integer then n is an even integer.
If a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution?
The Snell law to find the index of refraction
A machinist can produce 114 parts in 6 minutes .At this rate , how many parts can the machinist produce in 15 minutes.
There are 45 participants in the triathlon. The first three finishers will receive prizes. How many ways can the three prizes be given?
Let R be the shaded region bounded by the graphs of y=sqaure root of x, and y=e to the power of -3x, and the vertical line x=1.
Six liters of liquid soap were bought for $11.40 per liter. The soap was repackaged in 150-mililliliter plastic containers. The cost of each container was $.26. Each container of soap sold for $3.29 per bottle. Find the profit on the 6 liters of l..
A light bulb manufacturer knows that 0.08% of all bulbs manufactured are defective. A testing machine is 98% effective. If a randomly selected light bulb is tested and found to be defective, what is the probability that it actually is defective?
An estimated 8% of men and O.5% of women are colorblind. If a colorblind person is selected at random, what is the probability that the person is a man?
Find a general solution to the differential equation.
Suppose that a body moves in a straight line through a resisting medium with resistance proportional to the square of it's speed v with initial speed v_0 and initial position x_0.
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