Activities 1. How many planes can we form using the axes in space? What are they? 2. What are the physical meanings of the coordinates of a point P (x, y,z) on the space ? 3. Plot points (1,0,1),(-1,2,1), and (1,-1,-1) on the space. As the coordinate axes in a two-dimensional coordinate system divide 2-space into four quadrants, the coordinate of three-dimensional coordinate system divides 3-space into eight parts, called octants. To obtain a formula for distance between two points in 3-space, consider P(47.91, -,) and Q(x2,92,2) which are points in 3-space. * Z QUX-Y2,22) 122- 211 PR X2 -- Xi P(x, y,z) y2-y! ►Y O 2 х

Asequence is defined recursively by the formula  f(n  +  1)  =  f(n)  +  3 . the first term of the sequence is  –4. what is the next term in the sequence? –7–117

The length of a rectangular piece of land is 92 yards more than three times its width. the perimeter is 760 yards. find its dimensions.

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?