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Suppose f is an odd function and is differentiable everywhere. Prove that for every positive number b, there exists a number c in (-b,b) such that f prime (c)= f(b)/b
there are 443 tickets sold. There were 57 less student tickets sold than adult tickets. how many adult tickets were sold.
a plane flying with a tailwind flew at a speed of 460 mph, relative to ground. When flying against the tailwind, it flew at a speed of 310mph. Find the speed of the tailwind.
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
Let S be a subset of a set X. Let R be the ring of real-valued functions on X, and let I be the set of real-valued functions on X whose restriction to S is zero.
What is a mathematical model? Explain in your own words. What are some examples of mathematical models that we can use when working with quadratic functions?
A hollow aluminum cylinder 20cm deep has an internal capacity of 2 L at 20°C. It is completely filled with turpentine and then slowly warmed to 80°C. a) how much turpentine overflows? b) If the cylinder is then cooled back to 20°C how far below th..
A student has an assignment to cut three size of cardboards: x=3 inches, y=5 inches, and z=9 inches. He must have 25 pieces of x, 20 pieces of y, and 15 pieces of z. The bookstore sells only one size of cardboard which is 17 inches. What is the mi..
give probability in decimal form, in a class of 36, 3 earn's A,9 earn B's,23 earn C's and 1 D. if one student is selected at random, what is the probability the student earned an A?
Sketching the graph of equation of line and evaluate the equation of the circle from the given information.
Let A, B, C be sets and let X be a set containing A, B, C as subsets. Prove that A intersects (B union C)= (A intersects B) union (A intersects C)
An executive invests $24,000, some at 8% and some at 6% annual interest. If he receives an annual return of $1,800, how much is invested at each rate?
Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Define Tree Diagram and Dice Tossing
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