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MAT016A Quiz 6 SS1-08 Kouba

# MAT016A Quiz 6 SS1-08 Kouba - Math 16A(Summer 2608 Keuba...

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Unformatted text preview: Math 16A (Summer 2608) Keuba, Quiz (‘5 imam—pumm—nw’uanmuuvw—u—wuu_~-gmqmwnwugw—mw=~<-m—mwmnn~mgwm~smmmv l.) (10 pts. each) Assume that y is a function of at . Find 3/ = a.) 532213 + 5x 2: y b.) sin(:z:y) 2 tans: + 7/1 dz; d3: 2.) Assume that my + y2 = x2 + 4 . a.) (6 pts.) Find the slope of the graph of this equation at the point :1: z 0, y = 2 . b.) (6 pts.) Determine if the graph of this equation is concave up or concave down at thepointm:0,y=—-2. c.) (3 pts.) Sketch a graph of this equation near the point m = O, y = 2 . 3.) (10 pts. each) Consider the given right triangle. If a: is increasing at the rate of 2 ft./1‘nin. and y is decreasing at the rate of 1 ft./min., then ﬁnd the following related rates when a: 2: 4 ft. and y m 3 ft. a.) The rate at which its AREA is changing b.) The rate at which its HYPOTENUSE is changing ...
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