For time 0 < t < 8, people arrive at a venue for an outdoor concert at a rate modeled by the function A defined by A (t) = 0.3 sm(1.9i) + 0.3 cos(0.6i) + 1.3. For time 0 < £ < 1, no one leaves the venue, and for time 1 < < 8, people leave the venue at a rate modeled by the function L defined by L (£) = 0.2 cos(1.9£) + 0.2 sin£ + 0.8. Both A (£) and L (£) are measured in hundreds of people per hour, and £ is measured in hours. The number of people at the venue, in hundreds, at time hours is given by P (£). (a) At time £ = 2, there are 6 hundred people at the venue. Write an equation for the locally linearapproximation of P at £ = 2, and use it to approximate the number of people at the venue at time£ = 2.5.

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r3t40

step-by-step explanation:

30 people weigh 160 pounds or more

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: