# C the instantaneous velocity vt 400 cos t 74 sin t 2

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(c) The instantaneous velocity v(t) = \$\$−400 cos ( t )(7+4 sin ( t ))2 . (d) v(pi) = \$\$40049 . (e) At time t=pi , is the object moving RIGHT or LEFT? (Write answer in caps.) (f) On the time interval [4,15], what is the first time when the velocity of the object is zero? (g) On the time interval [4,15], what is the last time when the velocity of the object is zero?
6/5/2019 hw11S3.4 (h) On the time interval [4,15], what is maximum distance from the origin to the object?
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(i) On the time interval [4,15], what is minimum distance from the origin to the object?
8. 4/4 points | Previous Answers The graphs of the quadratic functions f ( x ) = 6 – 10 x 2 and g ( x ) = 8 – ( x – 2) 2 are provided below. Observe there are TWO lines simultaneously tangent to both graphs. (a) The line simultaneously tangent to both graphs having the LARGEST slope has equation: (Two decimal places of accuracy.)
(b) The other line simultaneously tangent to both graphs has equation:(Two decimal places of accuracy.)
6/5/2019 hw11S3.4 9. 5/5 points | Previous Answers Let P be a point on the graph of y = x 3 . The tangent line at P will intersect the graph at the point Q . (a) If P has x ­coordinate a , then what is the equation of the tangent line at P : y= \$\$3 a 2 x + \$\$−2 a 3 . (b) The line in (a) will intersect the curve y = x 3 in two places; one of these is P and the other point is: ( \$\$−2 a , \$\$−8 a 3 ) (c)The ratio of the slope of the curve at Q to the slope at P is
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6/5/2019 hw11S3.4 7/10 10. 6/6 points | Previous Answers Consider this function y = f(x) on the domain (­ , ).
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