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(a)
To calculate: The parametric equation describing the position of the ball that is hit with the initial velocity of 180 feet/second at an angle of 40 degree to the horizontal.
(b)
To calculate: The ball’s position after 1, 2 and 3 second. Ball is hit with the initial velocity of 180 feet/second at an angle of 40 degree to the horizontal.
(c)
To calculate: The time for which the ball is hit with the initial velocity of 180 feet/second at an angle of 40 degree to the horizontal is in flight. Distance in totality travelled horizontally by the ball and whether the answer is consistent with the figure which is.
(d)
An interesting observation about the path of the ball hit with the initial velocity of 180 feet/second at an angle of 40 degree to the horizontal,
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Chapter 9 Solutions
EBK PRECALCULUS
- Decide whether each limit exists. If a limit exists, estimate its value. 11. (a) lim f(x) x-3 f(x) ↑ 4 3- 2+ (b) lim f(x) x―0 -2 0 X 1234arrow_forwardDetermine whether the lines L₁ (t) = (-2,3, −1)t + (0,2,-3) and L2 p(s) = (2, −3, 1)s + (-10, 17, -8) intersect. If they do, find the point of intersection.arrow_forwardConvert the line given by the parametric equations y(t) Enter the symmetric equations in alphabetic order. (x(t) = -4+6t = 3-t (z(t) = 5-7t to symmetric equations.arrow_forward
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- Find the (perpendicular) distance from the line given by the parametric equations (x(t) = 5+9t y(t) = 7t = 2-9t z(t) to the point (-1, 1, −3).arrow_forwardLet ä(t) = (3,-2,-5)t + (7,−1, 2) and (u) = (5,0, 3)u + (−3,−9,3). Find the acute angle (in degrees) between the lines:arrow_forwardA tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?arrow_forward
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