MATH 210 Midterm: MATH 210 KSU Test 3f98

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You must show all relevant work to receive full credit. The point value of each problem is shown in the left hand margin. (10) 1. Find the equation of the tangent line and the normal line to the curve y = 1. 2+1 at the point corresponding to x = 3. (10) 2. A particle moves along the curve y = 2 x. What is the ratio of the x-component of the velocity to the y-component at (9, 6)? (10) 3. Determine the values of x for which the curve de ned by y = x2. 2x is concave up, those values for which it is concave down, and any points of in ection. (10) 4. A fence is to be constructed to enclose a rectangular area of 20, 000m2. A previously constructed wall is to be used for one side.

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