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Water is flowing into a conical cistern at the rate of 8 m^3/min. If the 10 poiree height of the inverted cone is 12m and the radius of its circular opening is om. How fast is the water level rising when the water is 4 meters deep? * 0.64 m/min 0.56 m/min 0.75 m/min 0.45 m/min Find the partial derivatives with respect to x of the function xy^2 -5y+6. * 5 paints O y* 2-5 O y* 2 Oxy-5y 2xyA helicopter is rising vertically from the ground at a constant rate of 4.5 meters per second. When it is 75 m off the ground, a jeep passed beneath the helicopter travelling in a straight line at a constant rate of 80 kph. Determine how fast the distance between them is changing after 1 second. * O 12.34 m/S 11.10 m/S 10.32 m/s () 9 85 m/S Find the coordinates of the vertex of the parabola y = x^2 - 4x - 1using 5 points derivatives * O ( 2, - 3) O (3, -2) O (-1, -3) O (-2, -3)\fcosx - sin 2x, what is the slope of the curve when x=2 radians? 0 -221 ()- 4.94 - 3.25 O 2 21 Locate the points of inflection of the curve y = (x 2)(ex) " 13 Option 1 Option 2 -2:12 Option Gation 4