A solid 0.6750 kg 0.6750 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.6750 m R=0.6750 m . What minimum translational speed v min vmin must the ball have when it is a height H = 1.039 m H=1.039 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius R R . Use g = 9.810 m/s 2 g=9.810 m/s2 for the acceleration due to gravity.

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

explanation:

wind moving at higher speeds will transfer more energy to the water, resulting in stronger waves.

reserve is the answer

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .