Sales The sales S (in thousands of units) of a seasonal product are given by the model
where t is the time in months, with t = 1 corresponding to January. Find the average sales for each time period.
(a) The first quarter
(b) The second quarter
(c) The entire year
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Chapter 4 Solutions
Calculus (MindTap Course List)
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- Refraction of Light When light waves traveling in a transparent medium strike the surface of a second transparent medium, they tend to “bend” in order to follow the path of minimum time. This tendency is called refraction and is described by Snell’s Law of Refraction, sin θ1/ v1 = sin θ2 /v2 where θ1 and θ2 are the magnitudes of the angles shown in the figure, and v1 and v2 are the velocities of light in the two media. Use Lagrange multipliers to derive this law using x + y = a.arrow_forwardVariable Substitution Solve for theta over (0,2pi). 2sin2 x + sinx - 1 = 0 into 2u2 + u - 1 = 0 Let u = sinxarrow_forwardArc length Find the arc length of the following curves on the given interval. x = 2t sin t - t2 cos t, y = 2t cos t + t2 sin t; 0 ≤ t ≤ πarrow_forward
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