Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
From the question and answer of "What is the families of the curve of all Parabolas with axis parallel to the x-axis"
Determine the result of elimination of constant.
Where is the answer for "Result of elimination of constant"
![Step 1
The equation of a parabola with vertex at (h,k) latus rectum equal
to 4a and axis parallel to X axis is,
(y – k)? = 4a(x – h)
y2 – 2yk + k2 = 4ax – 4ah
Differentiate y,
2у — 2k 3 4а
dy
dx
Differentiate with respect to y,
2 = 4a-
d²x
dy
d'x
dy?
1
2a
Again differentiate with respect to y,
= )
dy3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8de30a4-2181-415e-9da7-6e3a1ecb5772%2F283b4adf-7c64-4cb0-9eb2-5b7b62bded8f%2F95ft4os_processed.png&w=3840&q=75)
Transcribed Image Text:Step 1
The equation of a parabola with vertex at (h,k) latus rectum equal
to 4a and axis parallel to X axis is,
(y – k)? = 4a(x – h)
y2 – 2yk + k2 = 4ax – 4ah
Differentiate y,
2у — 2k 3 4а
dy
dx
Differentiate with respect to y,
2 = 4a-
d²x
dy
d'x
dy?
1
2a
Again differentiate with respect to y,
= )
dy3
![Step 2
Now convert the equation,
dx
dy
dy
dx
d²x
dy?
d
1
dy
dy
dx
4=(+):
d³x
d
1
dx
dy3
dx
dy
dy
dx
d³x
d²y
-1
dy
3
dx2
dx
(台)
dy d³y
3
dz2
-
d³x
dx dx³
4
dy3
dy
dx
dy d'y
3
dx dx3
0 =
4
dy
dx
3()-些=0
2
dy d³y
dx dx3
d'y
dx2
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8de30a4-2181-415e-9da7-6e3a1ecb5772%2F283b4adf-7c64-4cb0-9eb2-5b7b62bded8f%2Fe9vy4dm_processed.png&w=3840&q=75)
Transcribed Image Text:Step 2
Now convert the equation,
dx
dy
dy
dx
d²x
dy?
d
1
dy
dy
dx
4=(+):
d³x
d
1
dx
dy3
dx
dy
dy
dx
d³x
d²y
-1
dy
3
dx2
dx
(台)
dy d³y
3
dz2
-
d³x
dx dx³
4
dy3
dy
dx
dy d'y
3
dx dx3
0 =
4
dy
dx
3()-些=0
2
dy d³y
dx dx3
d'y
dx2
||
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