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A wire 210 inches long is cut into two pieces. One piece formed into a square, and the other into a circle. If they have the same area, what are the lengths of the two pieces of wire.
Evaluate the integral log3(x)/(2x). Evaluate the integral sinh^6(x)*cosh(x) dx. Evaluate the integral x^2 * sin(2x) dx. Evaluate the indefinete integral sin^5(x) dx
Kathy bicycles 8 km/h faster than Javier. In the same time, it takes Javier to bicycle 45km, Kathy can bicycle 69km. How fast does each bicyclist travel?
Does every graph have a spanning tree? If not, then can you tell from the number of nodes and the number of edges a graph has whether it has a spanning tree, or do you need more information?
Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 7 + 2x2 + 2y2 and the plane z = 13 in the first octant.
Three hundred people apply for three jobs. 100 of the applicants are women.
Find the slope and the equation of the tangent line to the graph of the function f at the specified point.
The demand equation for a product is p = 45 - .01q. Write the revenue as a function of q and find the quantity that maximizes revenue. What price corresponds to this quantity? What is the total revenue at this price?
Escher style tessellation
Solving probability problems based on empirical rule
Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those who fail on the first try, 54% pass on the second try; and, of those remaining, 48% ..
Based on you answers to parts a and c, how convinced are you that the new 30-gallon trash bag is the strongest such bag on the market?
How would I solve the characteristic equation for B and show that the eigenvalues are 0, 2 and 4? For each eigenvalue, how would I find a corresponding eigenvector?
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