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ELEM LINEAR ALGB 12E AC\LL
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- A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.arrow_forwardFind the area between the graph of the given function and the x-axis over the given interval, if possible. Consider the functions f(x)=1/1+x2andg(x)=1/1+x4. a. Use your calculator to approximate 1bf(x)dx for b=20,50,100,1000,and10,000. b. Based on your answer from part a, would you guess that 1f(x)dx is convergent or divergent? c. Use your calculator to approximate 1bg(x)dx for b=20,50,100,1000,and10,000. d. Based on your answer from part c, would you guess that 1g(x)dx is convergent or divergent? e. Show how the answer to parts b and d might be guessed by comparing the integrals with others whose convergence or divergence is known. Hint: For large x, the difference between 1+x2andx2 is relatively small. Note: The first integral is indeed divergent, and the second convergent, with an approximate value of 0.9270.arrow_forward
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