An electronics company's research budget is projected to be R(t) = 3(55+4t)0.25, where t is the number of years from now (R is in millions of dollars). Find the average rate of change of the research budget. a) over the first five years. b) over the second five years.

In 2018, SpaceX performed the inaugural launch of its Falcon Heavy rocket, carrying a Tesla Roadster belonging to SpaceX founder Elon Musk. The table below shows the rocket's altitude in kilometers at various times t, measured in seconds. t (in seconds) s (in kilometers) a) From t 86 b) From t 102 115 c) From t 129 140 150 = Average Velocity Find the average vertical velocity of the rocket, in meters per second, during each of the following intervals. Round to two decimal places. = 86 to t Average Velocity = = 115 to t = 129 to t 18 26 - 34 42 50 58 140 140 140 m/s m/s

The tempature at any point on a cordinate plane is T=3x2+4y2+5. What is the rate of change from the origin, considering it's the same in any direction? Why is it the same rate of change?

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