Reference no: EM131076362
CHAPTER 3-
Problem 1- Find the points on the curve y = 2x3 + 3x2 - 12x + 1 where the tangent line is horizontal.
Problem 2- Show that the curve y = 2ex + 3x + 5x3 has no tangent line with slope 2.
Problem 3- Let
Is f differentiable at x = 1? Sketch the graphs of f and f'.
Problem 4- Find equations of the tangent line and normal line to the curve y = 2xex at the point (0, 0).
Problem 5- Find R'(0), where
R(x) = x - 3x3 + 5x5/1 + 3x3 + 6x6 + 9x9.
Problem 6- If g is a twice-differentiable function and f(x) = xg(x2), find f'' in terms of g, g', g''.
Problem 7- If f(x) + x2(f(x))3 = 10 and f(1) = 2, find f'(1).
Problem 8- Find y' if y = ln(x2 + y2).
Problem 9- Find d9/dx9 (x8 ln x).
Problem 10- A sample of tritium-3 decayed to 94.5% of its original amount after a year. What is the half-life of tritium-3? How long would it take the sample to decay to 20% of its original amount?
Problem 11- Suppose y = √(2x + 1), where x and y are functions of t. If dx/dt = 3, find dy/dt when x = 4.
Problem 12- The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder?
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Differences between the terms hazards
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Design an algorithm that performs a level-order traversal
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Equilibrium federal funds rate is below the discount rate
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Per year pf the average inventory
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How long is the ladder
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Is the marginal cost curve upward or downward sloping
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