2. An image rotated around its centre point appears unchanged after 180° and 360° turns. This is an example of: a) line symmetry b) rotationsymmetry c) tessellation d) vertex
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cos 2x - 2 sin x - cos^2x = -3, where x ∈ [0,2π]
5xy'' + (4 − x)y' − y = 0
Discuss the asymptotic behavior ofin the same manner as in Exercise 58. Then use your results to help sketch the graph of f.
Find the functions (a) (b) , (c) , and (d) .
Use part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
Evaluate the integral, if it exists.
Suppose that the only information we have about a function is that and the graph of its derivative is as shown
(a) Use a linear approximation to estimate.
(b) Are your estimates in part (a) too large or too small? Explain.
Evaluate the integral.
Use Definition 2 to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
Find the first and second derivatives of the function.
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions given in Section 1.2, and then applying the appropriate transformations.
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