Math 20C (Shenk). Summer, 2010. Exam 2.(10 points per problem. Maximum=80points)NameSectionWork alone and use no books, notes, or calculators. Show your work with your answers on 8.5”×11”paper and staple the pages to the exam when you turn them in.Problem 1A toy car is traveling counterclockwise around the circlex2+y2= 4 in anxy-plane withdistances measured in meters. When the car is at (0,2), its acceleration vector isa= 5i−8jmeters perminute2. How fast is it traveling and at what rate is it speeding up or slowing down at that time?Problem 2Draw and label the level curvesf= 4, f= 6, andf= 8 of the linear functionf(x, y) = 2x−y+ 6. Then draw∇fat one point in the drawing, using the scales on the axes to measurethe components of the vector.Problem 3The volume of a right circular cylinder is calculated from measured values of the radiusr(feet) of its base and its heighth(feet) with the formulaV=πr2h(cubic feet). The radius is measuredto be 3 feet with an error≤0.
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