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Pls solve clearly with final solution circled 3. If y' -6xy =-3 , then dy - dx 3y y - 3x b. x y x

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Pls solve clearly with final solution circled

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3. If y' -6xy =-3 , then dy - dx 3y y - 3x b. x y x C. x-y d. 4. What is the slope of the line normal to the curve y = = vx at x=49 ? 2 49 b. 1 C. 49 2 d. -8 5. Calculate the derivative of f (x) = x - 2 x 2 + 5 a. f (x ) = 2x(x3 -2) -3x2 (x2 +5) (x-2) b. f (x ) _ 3x ( x7 + 5) - 2x (x - 2) (x7 + 5) c. f' (x) = 3x - 2x ( x 2 + 5 ) d. f' (x) = 2x - 3x2 (x3- 2)? 8. Calculate the slope of the tangent line to the curve 3x y? - 2y - -4 at the point (1,2) . Simplify. 10. The horizontal movement of an object is given by x = f m. The vertical movement of an object is given by y =11-t m. Round your answers to one decimal place. a. What is the position of the object at t = 3 min? Leave answers in (x, y) form. b. What is the velocity's magnitude at t = 3 min? c. What is the direction of the velocity at t = 3 min? State in standard position form. d. What is the acceleration's magnitude at t = 3 min? e. What is the direction of the acceleration at t = 3 min? State in the standard position form

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