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Two circles of different radii touch internally at C. A tangent at P on the smaller inner circle touches the larger circle at A and B. Join ABC. Prove that CP bisects angle <ACB.
The following model is proposed to describe population growth in a confined space. The excess of births over natural deaths causes a growth rate of a times the current number of individuals N.
The table list data - Average Salaries of Athletes in 1991 and 2001. Use the data points to find a linear function that fits the data and then use the function to predict the average salary in 2005 and 2010.
On a 10-question multiple choice test there are 5 possible answers for each question, of which 1 is correct and the other 4 are incorrect. If a student guesses randomly and independently, what is the probability of:
Determine whether the given ordered pair is a solution of the system. Solve each system by substitution method
Find the validity of following argument form.
Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000
Suppose that (a_n) ^ infinity, n=m is a convergent sequence of real numbers. Then (a_n) ^ infinity, n=m is also a Cauchy sequence
Several calculators are now available that do computations in fractional form as well as in decimal form. Some of these automatically give results in simplest terms.
The exact value of the indicated trigonometric function.
Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
A consumer information magazine estimates that the real juice content of several drinks sold as snack drinks for children was 79.5% in 1999, compared to 86.25% in 1998.
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