3 You do not need to show your work. (a) Let D be the region inside the unit circle centered at the origin, let R be the right half of D and let B be the bottom part of D. Decide (without calculation) whether the integrals below are positive, negative, or zero. (i) Spex+y dA is (A) positive (B) negative (C) zero. (ii) JB x cos(y) dA is (A) positive (B) negative (C) zero. (iii) R(x³-x)99 dA is (A) positive (B) negative (C) zero. √1-x2 (b) The integral LIEL -(x²+y²+z²) dz dy dx describes the mass of √1-22 e (i) a cylinder that gets heavier towards the outside. (ii) a sphere that gets heavier towards the outside. (iii) a cylinder that gets lighter towards the outside. (iv) a sphere that gets lighter towards the outside. (c) Consider the sector of the unit circle R = {(r, 0) : 0 ≤ r ≤ 1, 0 ≤ 0 ≤ 0₁}, where 000 < 0₁ ≤ 2π are fixed angles. Assume that, at each point, the density of R is twice the distance from that point to the origin. In each of the following cases, set up an iterated integral, and evaluate it. (i) The x-coordinate of the center of mass of R is x = (ii) The y-coordinate of the center of mass of R is y =

If x^2 + y^2 =14 and x+y=6, find xy.

Salve 5/12 usup UI=t3cost, Usafisint

solve by parameter exchange method

Suppose that the local newspaper reported that Millerville and Big Lake both had 50 murders last year. However, 5 years ago, Millersville had 42 murders and Big Lake had just 29. Calculate the absolute change and the perchance for each city over the five years. Could the newspaper make the claim that crime had gone up by the same amount in each city? Explain

If something is thrown straight up, or possibly dropped, describe a situation in which it is important to know how long it will take the object to hit the ground or possibly the water.

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