Plot the graph of the equation. Check for symmetries and find all x- and y-intercepts.y = x3 + 5x2 - x - 5
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Answer: B
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Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. f(0, 0) = 2, saddle point; f(6, 6) = 2,594, local maximum B. f(6, 0) = 2, local minimum; f(0, 6) = 2, local minimum C. f(0, 0) = 2, test is inconclusive D. f(6, 6) = 2,594, local maximum
Find the rectangular coordinates for the point for which the polar coordinates are given.
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Provide an appropriate response.Suppose that we are using substitution to find an antiderivative. If, after making the substitution, we find that there is still an x-term left in the integrand, what should we do?
A. Go back to the equation relating x and u, solve for x, and substitute in the integrand. B. Use an alternative method, because substitution will never give the antiderivative. C. This would never happen if we made the correct substitution. D. None of the above
Use a graphing device to find the solution of sin 4x = x, correct to two decimal places.
(a) 0 , ±0.62 (b) ±0.25 (c) -1 , ±0.62 (d) ±1 (e) 0, ±0.12