How do I solve 8?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 12E
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How do I solve 8?

SECTION 10.6
Practice Exercises
Prerequisite Review
R.1. Solve the equation.
5w + 2w-1 0
R.2. Find the vertex by using the vertex formula.
TW) = -8t +7
Concept Connections
1. If f and g are continuous functions of t over an interval I, then the set of points ((). g()) is called a
curve. The equations x f1) and y =
equations and t is called the
2. The parametric equations x 5
(clockwise or counterclockwise)
5 cos 0 and y -5sin 0 define a circle. In which direction is the curve oriented?
%3D
3. Identify the endpoints of the curve defined by x = 3-1 and y 21 +1 on the interval -25ISI.
4. Suppose that an object travels along a straight path in a rectangular coordinate system with units of distance in
feet. If the object moves from the point (12, 18) to (36, 16) in 4 sec, the horizontal component of velocity is
and the vertical component of velocity is
Objective 1: Graph a Plane Curve by Plotting Points
For Exercises 5-6,
a. Use the parametric equations to compute x and y for the given values of t.
b. Plot the points, sketch the curve, and indicate the orientation of the curve.
6. x = -1 and y 3t 1 for 0SIS4
%3D
5. x = 2t and y = t+ 1 for -3 <IS1
%3D
0.
3.
4.
-3
-2
-1
1
y
For Exercises 7-10, sketch the plane curve by plotting points. Indicate the orientation of the curve. (See Example 1)
8. x r- 4 and y = t-1 for -2s1< 2
7. x = - and y = t+ 3 for -1 <153
%3D
10. x = -1- 3 and y = |r|
9. x = t - 4 and y = Vt
2.
Transcribed Image Text:SECTION 10.6 Practice Exercises Prerequisite Review R.1. Solve the equation. 5w + 2w-1 0 R.2. Find the vertex by using the vertex formula. TW) = -8t +7 Concept Connections 1. If f and g are continuous functions of t over an interval I, then the set of points ((). g()) is called a curve. The equations x f1) and y = equations and t is called the 2. The parametric equations x 5 (clockwise or counterclockwise) 5 cos 0 and y -5sin 0 define a circle. In which direction is the curve oriented? %3D 3. Identify the endpoints of the curve defined by x = 3-1 and y 21 +1 on the interval -25ISI. 4. Suppose that an object travels along a straight path in a rectangular coordinate system with units of distance in feet. If the object moves from the point (12, 18) to (36, 16) in 4 sec, the horizontal component of velocity is and the vertical component of velocity is Objective 1: Graph a Plane Curve by Plotting Points For Exercises 5-6, a. Use the parametric equations to compute x and y for the given values of t. b. Plot the points, sketch the curve, and indicate the orientation of the curve. 6. x = -1 and y 3t 1 for 0SIS4 %3D 5. x = 2t and y = t+ 1 for -3 <IS1 %3D 0. 3. 4. -3 -2 -1 1 y For Exercises 7-10, sketch the plane curve by plotting points. Indicate the orientation of the curve. (See Example 1) 8. x r- 4 and y = t-1 for -2s1< 2 7. x = - and y = t+ 3 for -1 <153 %3D 10. x = -1- 3 and y = |r| 9. x = t - 4 and y = Vt 2.
Expert Solution
Step 1

As given,

x=t2-4  and  y=t-1 for -2t<2

for -2t<2, we get values of x and y

t -2 -1 0 1
x 0 -3 -4 -3
y -3 -2 -1 0

 

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