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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. Show that it's speed and position are given by v(t)=v_0/(1+v_0kt), x(t)=x_0+((ln(1+v_0kt))/k). Conclude that the body travels only an infinite distance, i.e. x(t) tends to infinity as t tends to infinity.
85% of adults favor gun licensing in general. Select one adult at random. Find the probability that the selected adult doesn’t believe in gun licensing?
Evaluate the coordinate of centroid using multiple integral method - Find the z- coordinate of the centroid of T
Solve the system of linear equations. If the unique solution does not exist state weather the system is inconsistent or dependent.
If A and B are normal subgroups of G such that G/A and G/B are abelian, prove that G/(A intersect B) is abelian
If the graph of a function has three x intercepts, then it must have at least two points at whch its tangent line is horizontal. If f'(x) = 0 for all x in the domain of f, then f is a constant function.
What is degree of polynomial and is it a monomial, binomial or trinomial? Find the quotient and remainder
Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.
If the random variable z is the standard normal score, which of the following probabilities could easily be determined without
Calculating the first derivative and critical point.
Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.
Find the number of units x that produce a maximum revinue R. Find the number of unites x that produce the minimum average cost per unit C.
A fast food outlet has an average of 8 cars at the drivethrough during "lunch rush" 11am-1pm. On average, 2 cars per min. arrive at the resaurant parking lot, and consider the drivethrough
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