Linearty in Equations - AP Calculus - Exam, Exams of Calculus

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1/10 Calculus 2™ Quarter Exam Review Name dy. 2 a * 1. Find & given that y—x° +3xy=5. dx 2x 2x=3y -y 5=3y+2> -2y+2x A) — B) = c) = py 2=3¥+2x FE) ——= 2x +3 2y+3x yt+x 2y +3x 3x 2. Evaluate af for xy=8 at x=2. dx A) -2 B) 0 C) 2 D) 4 E)8 3. Find the equation of the tangent line to the graph x’ —y* =16 at the point (5,3). A) y-3=-(x-5) B) y-5=2(x-3) C) y-3= apa (x-3) D) y+3=—(x+5) E) y+3=x+5 4. All edges of a cube are expanding at a rate of 2 cm per second. How fast is the volume changing when the edge is 4 em? A) 24 em’ /sec B) 48 cm’ /sec C) 64 em’ /see D) 83 cm’ /sec E) 96 em’ /see 5. A boat is pulled in by a winch on a dock 15 feet above the deck of a boat. The winch pulls in the rope at a rate of 3 feet per second. Determine the speed of the boat when there is 17 feet of rope out. SX. HYs & ro 5 a — c ad a 5 A) —— ft ‘sec B) — ft'sec C) ra ft ‘sec 4 8 8 X= 5 z = D) -> ft/see X FBS =P E) 2 ft/sec a ewe