MATH 141 Midterm: MATH141 South Carolina Exam 2 Practice Problems
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Chapter 3 and 4. 1-4. 5: find the rst and second derivative, x3 3(x2 + 2, (x + 1)2ex3, ln(cos(1/x)), cot3(2/t, (2x + 1) 2x + 1, 92t. 16 e4x: use implicit di erentiation to nd dy/dx and dx/dy, x2y2 = 1, y2 = q 1+x. Page 2: word problems (interpreting the derivative and related rates, the surface area s of a right, circular cylinder is related to the base radius and height by the formula. At what rate are the lengths of the edges changing at that instance: the position at time t 0 of a particle moving along a coordinate line is s = 10 cos(t + /4). The number x of people per trip who use the bus is related to the. Write an expression for the total revenue fare charged (p dollars) by the law p = (3 x per trip received by the bus company and nd the maximum revenue.