A particle moves counterclockwise around the ellipse with equation 9x? + 16y² = 25.a) At what rate is the x-coordinate changing when the particle passes the point (1,1) if it'sy-coordinate is increasing at a rate of 6 m/s?b) At what rate is the y-coordinate changing when the particle passes the point (-1, 1) if it'sx-coordinate is increasing at a rate of –8 m/s?3

Answered: Image /qna-images/answer/a3c8cf48-7e7c-4dbb-900e-210d6881f784.jpg

Answered: A particle moves counterclockwise…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

See similar textbooks

Similar questions

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
A particle moves along a straight line with equation of motion s=t^2 - 3t +2. Find the value of t at which the particle reverses its direction.
A particle moves along the top of the parabola y2 = 2x from left to right at a constant speed of 5 units per second. Find the velocity of the particle as it moves through the point (2, 2).
Find equations of both the tangent lines to the ellipse x² +9y² = 81 that pass through the point (27, 3). (smaller slope) y = y = (larger slope)
A robot begins moving on a linear path at (2,1). When it reaches (5,2), the robot turns 90° counterclockwise and continues to move linearly. After the turn, what is the y- coordinate of the robot's position when its x- coordinate is 3?
A particle moves along the hyperbola y=12x, so that the x−coordinate is increasing at a constant rate of 3 meters per second. Find the speed of the particle when it is at the point (3,4).
A helicopter is to fly directly from a helipad at the origin in the direc- tion of the point (1, 1, 1) at a speed of 60 ft/sec. What is the position of the helicopter EXAMPLE 4 after 10 sec?
What is the equation of the line tangent to the parabola y2=12x at point (2,2)
a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t, where x is the horizontal direction and y is the upward direction. the projectile lands after a. 16 seconds b. 8 seconds c. 4seconds
The path of a fast moving particle assuming constant speed traces a circle with equation (x-3)2 + (y-4)2 =25.It starts at point (3,-1),moves counterclockwise,and passes the point (8,4) for the first time after travelling 7 microseconds.Where is the particle after travelling 20 microseconds
Find the equations of both the tangent lines to the ellipse x^2 +3y^2 = 9 that passes through the point (27, 3).
A racecar travels on the flat road and its motion is monitored. i) If the car is accelerating at 9 m/s² and the initial velocity of the car is 5 m/s, what is the equation for the velocity of the car? b) ii) iii) Find the distance travelled by the car as a function of time? Calculate the distance travelled by the car for the first 30 seconds.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS