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Chapter 10: Q.5 (page 694)

True or False Parametric equations defining a curve are unique.

Short Answer

Expert verified

False

Step by step solution

01

Step 1. Description

Given Parametric equations defining a curve are unique.

We have to find out if it is true or false.

02

Step 2. Simplification

False,

for example:

x(t)=sint,y(t)=costrepresenttheunitcirclex2+y2=1x(t)=t,y(t)=1-t,representtheunitcirclex2+y2=1

so the statement in the question given is false.

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Most popular questions from this chapter

Semi elliptical Arch Bridge An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 20meters wide. The center of the arch is 6meters above the center of the river. See the figure. Write an equation for the ellipse in which the x-axis coincides with the water level and the y-axis passes through the center of the arch.

Except for degenerate cases, the equation Ax2+Bxy+Cy2+Dx+Ey+F=0defines an__________ if B2-4AC=0.

Find an equation for each ellipse. Graph the equation by hand.

Center at (2,-2): vertex at (7,-2): focus at(4,-2).

To transform the equation

Ax2+Bxy+Cy2+Dx+Ey+F=0,B鈮�0

into one in x'and y'without an x'y'-term, rotate the axes

through an acute angle 胃that satisfies the equation _______.

In Problem, identify the graph of each equation without completing the squares.

2y2-3y+3x=0
See all solutions

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