The position of the particle at timet is given by s(t) = t – 8t + 15. The particle is moving from left to right at t = seconds

Need help.

Find xy dydr. 4

Determine K' if the figure is reflected across the x-axis. 本y A. (4, 1) O B. (1,-4) CC (-1,-4) D. (1,4)

A particle moves along the y-axis so that its position at time 0S1S 20 is given by y(t) = 5t -5. At what time does the particle %D change direction? A. 5 seconds B. 7.5 seconds C. 10 seconds D. 15 seconds E. 18 seconds

d (²e2x) when x=0 and y=3. Compute dx

The acceleration of a moving particle at any time t is given by expression 6t – 24. Find the position equation and velocity equation if when t = 4, v = –3;and, when t = 1,S = 34.

Let r(t) =. Describe the motion of a particle following this path. What happens to its speed as time increases?

A cup of water at an initial temperature of 81°C is placed in a room at a constant temperature of 24°C. The temperature of the water is measured every 5 minutes during a half-hour period. The results are recorded as ordered pairs of the form (t, T), where t is the time (in minutes) and T is the temperature (in degrees Celsius). (0, 81.0°), (5, 69.0°), (10, 60.5°), (15, 54.2°), (20, 49.3°), (25, 45.4°), (30, 42.6°) (a) Subtract the room temperature from each of the temperatures in the ordered pairs. Use a graphing utility to plot the data points (t, T) and (t, T − 24).   (b) An exponential model for the data (t, T − 24) is T − 24 = 54.4(0.964)t. Solve for T and graph the model. Compare the result with the plot of the original data.   (c) Use a graphing utility to plot the points (t, ln(T − 24)) and observe that the points appear to be linear. Use the regression feature of the graphing utility to fit a line to these data. This resulting line has the form ln(T − 24) = at + b, which is…