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Please solve the following: Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
A traveler owing a gold chain with 7 links is accepted at an inn on condition that he pay one link of the chain for each day he stays. if the traveler is to pay daily and may be given links already used in payment as change
Use properties of moduli to sow that when |z3| does not equal |z4|, Re(z1 + z2) / |z3 + z4|
Predict the sales price for 30 year old customer, who has a $40000 income and a 7 year old car.
In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3.
Let f (x,x',x"). Be a function of independent variables x, its first derivative x', and its second derivative xo. Write down an Euler-Lagrange expression for this function.
The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
Write a recursice algorithm to find x^n mod m whenever n,x and m are positive integers based on the fact that : x^n mod m = (x^(x-1) mod m * x mod m)mod m
Assume that the field is algebraically closed and has zero characteristic, G is finite and representations are finite-dimensional.
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.
From the top of a building 70 meters high, the angles of depression of two objects that are directly east of the observation position are 38° and 25° respectively. find the distance between the objects.
Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
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