CHECKING ANALYTIC SKILLS Graph each pair of parametric equations by hand, using values of t in [-2, 2]. Make a table of t-, x-, and y-values, using t = -2,-1, 0, 1, and 2. Then plot the points and join them with a line or smooth curve for all values of t in [-2, 2]. Do not use a calculator. 1. x 2t + 1, y = 1- 2 2. x = -t + 1, y 3t + 2 3. x = 1 + 1, 4. x 1-1, y + 2 5. x 1 + 2, y =-t+ 1 6. x =-+
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![CHECKING ANALYTIC SKILLS Graph each pair of parametric equations by hand, using values of t in
[-2, 2]. Make a table of t-, x-, and y-values, using t = -2,-1,0, 1, and 2. Then plot the points and
join them with a line or smooth curve for all values of t in [-2, 2]. Do not use a calculator.
1. x 21 + 1, y 1-2
2. x = -1 + 1, y= 3t + 2
3. x = t+ 1,
4. x t- 1, y + 2
5. x = + 2, y =-t+ 1
6. x =-1 +
The screens in Exercises 7-12 depict the curves obtained when the X- and Y-values of the curves in
Exercises 1-6 are interchanged. To prepare for the exercises later in this set, duplicate these screens
on your own graphing calculator. In each case, Tmin = -2 and Tmax = 2.
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