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v'(t) = g - cv - epsilon*v^2 where v(0)=0. g is the acceleration due to gravity (a constant), c is the coefficient of friction, and epsilon is a small frictional force proportional to v^2. constants. c>0, epsilon>0.
(a) I need to find a formula for the terminal velocity(b) I need to find the first order perturbation approximation x1(t)=k0(t)+k1(t)epsilon to the initial value problem for v(t).
A copier that originally cost $300 was sold on the installment plan as $28 per month for 12 months. Find the installment price if no down payment was made. Find the finance charge.
Summation and proof using mathematical Induction - Provide a careful and complete proof by induction.
Use this tree diagram and the probability determined in part (a) to calculate the probability that she should receive at least one payment exactly on time.
Probability values.
Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate of P.
Let V be an n-dimensional vector space over F. What is the characteristic polynomial of the Identity operator on V? What is the characteristic polynomial for the zero operator?
He plans to pay the loan back in full in 5 months using his income tax refund. He can go to a finance company that will charge him 18% or to his uncle, who has greed to charge him 9%. Find the difference in the interest charges.
If f is an automorphism of S_3, prove that there exists a sigma in S_3 such that f(tau)
Find the slope-intercept form of a line that is the perpendicular bisector of a line segment connecting (-7,3) and (1,17)
a retailer wants a 30% markup on the selling price of an item that costs him $214.90. what selling price should be charge?
Exponentials depending on the random variable
A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.
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