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Unformatted text preview: dt y + sec 2 x dx dt . ii) d dt ( sin y-x ) = 1 2 sin y cos y dy dt-1 . A) i) only B) ii) only C) both statements are correct D) neither statement is correct [ 2 ] 4. Find the equation of the tangent line to the curve dened by x 2 y + 2 y = x 3-1 at P (1 , 0) . A) y = x B) y =-x C) y = x + 1 D) y = 2 x-1 E) None of the above. [ 2 ] 5. An expanding cell is in the shape of a sphere of radius r, and volume V = 4 3 r 3 . If the radius is increasing at 1 mm/hour then nd the rate at which the volume is increasing (in mm 3 /hour) when the radius is 10 mm. A) 400 2 B) 40 C) 400 3 D) 400 E) None of the above....
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- Fall '07