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- A flashlight is shaped like a paraboloid and the light source is placed at the focus so that the light bounces off parallel to the axis of symmetry, this is done to maximize illumina- tion. a particular flashlight has its light source located 1 cm from the base and is 6 cm deep. what is the width of the flashlight's opening?Find the point P nearest to Q = (−1, 3, −1) on the planex − 4z = 2A long suspension bridge 180 meters from end,has towers 60 meters tall,where suspension cables are attached at the top of each tower.The cable from a parabolic curve and the lowest point of the cable is 15 meters from the surface of the bridge. Which set of information is true to the scenario described?
- Compute the distance between the point (-2, 8, 1) and the line of intersection between the two planeshaving equations x+ y+ z=3 and 5x+ 2y+ 3z=8The shortest distance from the point P ( 2 , 2 , 0 ) to the plane 3 x − 4 y − 5 z − 2 = 0 is given byFind the shortest distance from the point (0,2,3) to the plane x+2y+z=1
- Find the shortest distance from the point (1, 0, −9) to the plane x + 2y + z = 9.An angle with its vertex at the origin of an xy-coordinate plane and with initial side on the positive x-axis is in position_________What are the coordinates of the vertices of△A′B′C′after a reflection across a line through point P with a y-intercept at y=−2 followed by translation T3,3?