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Find the diameter of the largest circular pond that could fit in a triangular garden with vertices at (18,54), (-27,36), and (27,-18), where a unit reprsents 1m.
Let (X,d) be a compact metric space, and let Con(X) denote the set of contraction maps on X. We shall define the distance between two maps f,g which belongs to Con(X) as follows:
T est to see if the mean of the population is at least twelve ounces.
Find the small positive angle from the positive X-axis to the vector OP that corresponds to (3,3). Find the work done by the constant force 4i-2j if the point of application moves along the line segment from P(1,1) to Q(5,7)
Evaluate the relative growth rate and Assume the relative growth rate is a linear function of population at time t by using the formula
A single-loop negative feedback system has a loop transfer function. Determine the range of the gain K for which the system is stable.
Let f(z)=u+iv be an analytic function, phi(u,v) any function with second order partial derivatives and g(u,v) any function with first order partial derivatives.
Prove the given Φ is either a trival homomorphism or 1- 1.
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
With a yearly inflation rate of 7%, prices are given by P=p(1.05)^t, where p is the price in dollars when t=0 and t is the time in years. Suppose p=1. How fast (in cents/ year) are prices rising when t=12?
We are interested in finding the monthly payment for a $175,500 mortgage at 7.5% for 30 years. We use the loan payment formula for installment loans.
If a plant was designed to produce 7,000 hammers per day but is limited to making 6,000 hammers per day because of time needed to change equipment between styles of hammers, what is the utilization? Format as xx.x% (include the % sign.)
Provide a logical explanation for this relationship (Hint: consider n objects as consisting of n-1 existing objects plus a new nth object.
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