Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Related questions
Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
![4. What is the direction in which the function f(x, y) = yx²
- decreases most rapidly at the
point (-2, 1)?
a. -5i
b. 3i + 2j
с.
d. 5i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6c19985-f64a-4168-9f96-4b76b109f161%2Ff5d014ad-37c9-49f7-ac13-28a89b979d90%2F0neiy4b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. What is the direction in which the function f(x, y) = yx²
- decreases most rapidly at the
point (-2, 1)?
a. -5i
b. 3i + 2j
с.
d. 5i
![7. The directional derivative of f(x, y, z) = xe +xye at the point P(-2,1,1) in the direction
parallel to the line x+2:
-2
y-1 z-
is
3
1
(2ei – 4ej – 4ek)
а.
V14
b. -2
c. 2ei – 4ej -4ek
d. -2e
2e
е.
V14
f. None of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6c19985-f64a-4168-9f96-4b76b109f161%2Ff5d014ad-37c9-49f7-ac13-28a89b979d90%2Fura0rhq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. The directional derivative of f(x, y, z) = xe +xye at the point P(-2,1,1) in the direction
parallel to the line x+2:
-2
y-1 z-
is
3
1
(2ei – 4ej – 4ek)
а.
V14
b. -2
c. 2ei – 4ej -4ek
d. -2e
2e
е.
V14
f. None of these
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