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MATH 2413 Practice problems

# MATH 2413 Practice problems - MATH 2413 weekly review week...

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MATH 2413 weekly review week of 10/17 Topics: 1. Linear Approximation and Diﬀerentials 2. Maximum and Minimum Values 3. Mean Value Theorem 1. Use diﬀerentials to approximate the quantity 101 2. Use diﬀerentials to approximate the quantity 3 124 2 3. Use diﬀerentials to approximate the quantity 1 . 1 3 ln(1 . 1) 4. The radius of a sphere is measured to be 10 in. with maximum possible error of 1/2 in. Use diﬀerentials to approximate the maximum possible error in measuring the volume and surface area of the sphere. 5. The included angle of an isosceles triangle is measured to be 30 with possible error of 1 . If the sides are correctly measured to be 10 in. what is the maximum possible error in measuring the area of the triangle. 6. A person is standing 100 feet from a tall building. If the person measures the angle of elevation to the top of the building to be 60 with maximum possible error of 1

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MATH 2413 Practice problems - MATH 2413 weekly review week...

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