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Question: Sentence in a newspaper: "The rate of increase of bank loans is increasing at an increasing rate". If L(t) denotes total bank loans at time t, represent the sentence by a mathematical statement about the sign of an appropriate derivative of L.
An entrepreneur has the following cost and revenue functions: TC = 30 + 3Q and TR = 4Q. calculate the equilibrium quantity algebraically and graphically at the break-even point.
The altitude of an equilateral triangle is 9.2 centimeters in length. Find the perimeter of the triangle.
1. the distribution of the weights of the packages received by a parcel service is normal. nine packages are randomly
1. Study the stability of the limit cycle r=1 for the system given in polar coordinates by the equations r ? =(r^2 -1)(2x-1) , φ ? =1 . (where x=rcosφ ).
1) Given a, b, c in a group G (not necessarily abelian), show that there exists a unique element x such that axb = c. Be sure to show that x exists, and also that x is unique. 2) Give an example of a group G along with an element a ∈ G such that x^..
Find the present value of an annuity of $1500, at the end of each quarter for 8 years after being deferred for 7 years, if the money is worth an annual rate of 7.6% compounded quarterly.
Using the results from the solution to part (b), find the maximum altitude attained by the rocket.
Calculate and compare the labor, raw material and supplies and total productivity for 2004 and 2005. What conclusion might your calcualtions lead you to believe about productivity compared between years 2004 and 2005?
Find the cars maximum possible(limiting)velocity. Find how long it takes the car to attain 90% of the limiting velocity, and how far it travels while doing so.
A student is randomly selected, and it is found that the student is enrolled in accounting. What is the probability that this student is also enrolled in statistics?
Solving problems on permutation and combination
How many 3-letter code words are possible using the first 10 letters of the alphabet if a) no letter can repeated, b) letters can be repeated, c) adjacent letters cannot be the same?
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