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- 1. What is the area of the plane region bounded by y = 3x+1, x = 1, x = 3 and the x axis? 2.Which of the following statement is false? a. If a function is continuous on a closed interval [a,b], then it has a maximum and a minimum on that interval. b. If a function has a maximum and a minimum over a closed interval, then it is continuous on that interval c. If a function has no extreme values on [a,b], then it is continuous on that interval. d. If a function has either a maximum only or a minimum only over a closed interval, then it is discontinuous on that interval. 3. The rate of decay of radium is said to be proportional to the amount of radium present. If the half-life of radium is 1690 years and there are 200 grams on hand now, how much radius will be present in 845 years?Sketch the region bounded by the graphs of the equations f(x) = x2 + 2x, g(x) = x + 2 and find the area of the region.Find the area bounded by the curve y= 2x-3/x2+4, the coordinate axes and the minimum ordinate. Show complete solution of points of intersection, your graph with the strip and soln of area using definite integrals.
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