Choose the graph that shows the family of curves. O A. O C. -20= C= C=2- +2+ C=2 Ау +C=1 -C CEO C=0 → Q Q G Q OB. O D. * C=0 C= 2 C÷1 C=0 16-1 Ay C÷2+6+C= Q Q ✔

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Question
Choose the graph that shows the family of curves.
O A.
O C.
d=2. ·tot.
-2c-2
Ay
6-2-
-0
Ay
C÷0
C=0
-C=-1
a
G
Q
O B.
D.
C‡O
Ay
TC=
Ay
C=2+€ +C=1
Q
Transcribed Image Text:Choose the graph that shows the family of curves. O A. O C. d=2. ·tot. -2c-2 Ay 6-2- -0 Ay C÷0 C=0 -C=-1 a G Q O B. D. C‡O Ay TC= Ay C=2+€ +C=1 Q
Verify that (x) =
Find
do
dx
do
dx
(Simplify your answer.)
dy
dx
2
1-ce 5x
dy
Substitute (x) for y and the derivative for
ax
=
5v² - 10y
2
dy
where c is an arbitrary constant, is a one-parameter family of solutions to
dx
2
2
= $( ₁-2²4 5) ² - 10 (₁ - 205 )
5x
1-ce
1-ce 5x
2
(Simplify your answer.)
The expression on the right can be further simplified by using a
of
=
5y²-10y
2
Graph the solution curves corresponding to c = 0, ±1, 2 using the same coordinate axes.
to subtract the fractions in the numerator, resulting in the same expression that was substituted for
ala
dx
on the left.
Transcribed Image Text:Verify that (x) = Find do dx do dx (Simplify your answer.) dy dx 2 1-ce 5x dy Substitute (x) for y and the derivative for ax = 5v² - 10y 2 dy where c is an arbitrary constant, is a one-parameter family of solutions to dx 2 2 = $( ₁-2²4 5) ² - 10 (₁ - 205 ) 5x 1-ce 1-ce 5x 2 (Simplify your answer.) The expression on the right can be further simplified by using a of = 5y²-10y 2 Graph the solution curves corresponding to c = 0, ±1, 2 using the same coordinate axes. to subtract the fractions in the numerator, resulting in the same expression that was substituted for ala dx on the left.
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