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SHOW COMPLETE SOLUTIONS!!! I. (10 pts) Find f '(x) using the limit process. Note: Not using the limit process entitles to zero points.) f(x)=l+x+xz 1

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SHOW COMPLETE SOLUTIONS!!! I. (10 pts) Find f '(x) using the limit process. Note: Not using the limit process entitles to zero points.) f(x)=l+x+xz 1 x 2 f(x)=4x2+5x+3 II. (5 pts each) Find the derivative of the given mction using derivative rules 1 r(:)=(105:)\" 3.82 ' Sm'l 2H3] III. (10 pts each) 2. 1. Find the equation of the tangent and normal line to the curve x) = (x2+2x)(x+l) at (1, 6). 2. To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. How high is the building if the splash is seen 5.6 seconds after the stone is dropped? Assume that the position mction of the stone is 30] = 4.912 + vet + so

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