2 33 points previous answers scalcet8 27003 consider

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2. 3/3 points | Previous Answers SCalcET8 2.7.003. Consider the parabola y = 6 x x 2 . (a) Find the slope of the tangent line to the parabola at the point ( 1 , 5 ). 4 (b) Find an equation of the tangent line in part (a). y = $$4 x +1 (c) Graph the parabola and the tangent line.
6/5/2019 hw06S2.7 3. 2/3 points | Previous Answers SCalcET8 2.7.029. (a) If find F ' ( 3 ) and use it to find an equation of the tangent line to the curve at the point ( 3 , 3 ).
3/7 (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.
6/5/2019 hw06S2.7 4/7 4. 4/4 points | Previous Answers SCalcET8 2.7.022. If the tangent line to y = f ( x ) at ( 7 , 6 ) passes through the point (0, 5 ), find f ( 7 ) and f ' ( 7 ). f ( 7 ) = $$6 f ' ( 7 ) = $$17
6/5/2019 hw06S2.7 5/7 5. 8/8 points | Previous Answers An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t) , so it's location at time t is P(t)= (cos(t),sin(t)) . Assume 0 < t < π /2 . At a given time t , the tangent line to the unit circle at the position P(t) will determine a right triangle in the first quadrant. (Connect the origin with the y ­intercept and x ­intercept of the tangent line.) The identity

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