Problem 3:The equation ax + by + cz = 0 describes a plane in R that passes through the origin. Thecurve C in R° is parameterized by r(t) = (-6 sin(2t), 8 sin(2t), 10 cos(2t)) for 0

Answered: Image /qna-images/answer/0cc82776-0cf7-4e72-abc2-a53aa0e755c0.jpg

Answered: Problem 3: The equation ax + by + cz =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 57RE

See similar textbooks

Similar questions

Derive the formula cos(a)=cos(b)cos(c)+sin(b)sin(c)cos(A) for an arbitrary spherical triangle with sides a,b,c and opposite angles A,B,C on a sphere of radius 1 by dividing the triange into two right triangles
A golf ball is hit with an initial velocity of 135 feet per second (about 92 miles per hour) at an angle of 60 degrees to the horizontal. There is a 5 foot-per-second headwind that reduced the horizontal velocity by that amount. The vertical component of velocity is unaffected. Find parametric equations for the position of the ball relative to the tee as a function of time after it is hit. I= 135 cos 60π 180 5 =(1 y=-16t² + 135 sin 60π 180 After how many seconds does the ball hit the ground? t seconds How far does the ball travel before hitting the ground? feet
As the wheel of radius r cm in the figure rotates, the rod of length L attached to point P drives a piston back and forth in a straight line. Let x be the distance from the origin to point at the end of the rod as shown. (a) Use the Pythagorean Theorem to show that L² = (x − r cos 0)² + ² sin² 0. (b) Differentiate the equation in part (a) with respect to t to show that 0=2(x-r cos 0) (d+rsin 0df)+2r² sin cos de. dt (c) Calculate the speed of the piston when , assuming that r = 10 cm, L = 30 cm, and the wheel rotates at 4 revolutions per minute. L X = Piston moves back and forth e
2. For the equation 2x² + 2xy + 2y²-2x-10y+11= 0, eliminate the xy term by rotating the coordinate axes. In the procedure, note the following results: a. rotation equations b. Coefficient of x'y' c. Value of tan(20) d. value of sin(0) e. cos value(20) f. Equation in the x'y'-plane
Find an equation of the tangent to the curve (in cartesian coordinates) at the point corresponding to the given value of the parameter. x = cose + sin 20+2, y = sin0+ cos20 +2,0 = π O -=-=-=-1 2 v = 7²/4 X y= 22 +2²2/2 y=2+2 None of these
Determine which of the following parametric equations match the graph. Ⓒ = 4 (t-sint)-3, y = 4(1-cost) - 2 x=2(t-sint) - 3, y = 2 (1-cost) - 2 x=4 (t-sin t) +3, y = 4 (1-cost) - 2 * = 4 (t-sin t) -3, y = 4 (1-cost) + 2 x=2(t-sint)-3, y-2 (1-cost) + 2 x = 2 (tsint) + 3, y=2 (1-cost) - 2 O LO 6 4 3 2 -18-17-16-15-14-13-12-11-10-8-8-7-6-5-4-3-2-11- -3- 44 -6+ → 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

Recommended textbooks for you

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:

9781305652224

Author:

Charles P. McKeague, Mark D. Turner

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:

9781305652224

Author:

Charles P. McKeague, Mark D. Turner

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Problem 3: The equation ax + by + cz = 0 describes a plane in R that passes through the origin. The curve C in R is parameterized by r(t) = (-6sin(2t), 8 sin(2t), 10 cos(2t)) for 0