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1. Find the areas (precision: 2 decimals) of the following planes. 2. Find the volumes (precision: upto 2 decimals only) of the following 3D solids. (a) Hollow Cylinder (in m3 ) (b) Cone (in ft3 ) (c) Pyramid (in cm3 ) 3. Solve for y (ONE significant figure) in the following questions. (a) x = 2, y = x5 x -2 = (b) x = 3, y = (3x2 ) 1/3 = (c) x = 22/3, y = 162/3 / x / 22/3= (d) x = 1, y = x·log28 = (e) x = 4, y = x·log100.1 = (f) x = 5, y = x·e2 /·ln7.4 = 4. Determine the lengths of x and y for (a), (b) and (c), and express cosθ, sinθ, tanθ, secθ, cscθ, and cotθ with the given letters a, b, and c for (d). 5. State laws of Sines or/and Cosines based on figures (a) and (b) and also solve (c) and (d). (a) Lawes of Sines and Cosines (b) Law of Cosines 200 in. 10 m 5 m (a) Sector of circle, cm2 (b) Annulus, m2 (c) Sector of an annulus, in2 10 m 5 ft 20 ft 100 in. 2 m 20 mm 4 cm 5 m. θ=45° x y 20 in. θ=30° x y x θ=60° 1 mile y c a b β α γ P Q R θ (c) If c =12 m, β = 43°, and α = 59°, find all others (a, b, and γ) in Prob. (a) (d) If vector P =10 lbs, vector Q = 20 lbs, and θ=30°, determine the resultant force vector, R (only magnitude) in Prob. (b) b in. θ a c (a) (b) (c) (d)

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