Find a rectangular equation for the following curve and describe the curve. Do not use a calculator.x=9 cos ²t, y = 9 sin ²t; fort inWhat is the rectangular equation for the given curve?y=Describe the curve. Choose the correct answer below.O A. hyperbola (upper branch)B. ellipseO C. circle with radius 9O D. line segment

We have to find a rectangular equation for the following curve and describe the curve.…

Answered: Find a rectangular equation for the…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter67: Analysis Of Trigonometric Functions

Section: Chapter Questions

Problem 13A: Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch...

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Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures.When side y=side r. a. What is the value of the sine function? b. What is the value of the cotangent function? c. What is the value of the cosine function? d. What is the value of the cosecant function?
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 8 cos 0 - 4 sin e ..... Write the Cartesian equation.
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 5 cos e+8 sin 0 Write the Cartesian equation. y= - x+ 8. 8. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice. The curve is a circle centered at the point with radius OA. (Type exact answers, using radicals as needed.) The curve is a line with slope O B. (Type exact answers, using radicals as needed.) and a y-intercept at the point The curve is a vertical line with x-intercept at the point . Oc. (Type exact answers, using radicals as needed.)
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r=2 cos 0+2 sin 0 Write the Cartesian equation. M Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice. OA. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) OB. The curve is a horizontal line with y-intercept at the point (Type exact answers, using radicals as needed.) O C. The curve is a cardioid with symmetry about the y-axis. OD. The curve is a cardioid with symmetry about the x-axis. O E. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.)
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 2 cos 0 - 10 sin 0 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice. A. The curve is a horizontal line with y-intercept at the point (Type exact answers, using radicals as needed.) B. The curve is a cardioid with symmetry about the y-axis. OC. The curve is a cardioid with symmetry about the x-axis. D. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) O E. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.)
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r = -8 cos 0-4 sin 0 1 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice. A. The curve is a horizontal line with y-intercept at the point (Type exact answers, using radicals as needed.) B. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) C. The curve is a cardioid with symmetry about the x-axis. D. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) E. The curve is a cardioid with symmetry about the v-axis.
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 4 cos 0-6 sin 0 Write the Cartesian equation. --- Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice. A. The curve is a cardioid with symmetry about the y-axis. B. The curve is a horizontal line with y-intercept at the point (Type exact answers, using radicals as needed.) OC. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) D. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) OE. The curve is a cardioid with symmetry about the x-axis. T 4
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r cos 0 = - 3 The Cartesian equation is (Type an equation.) Describe the curve. Choose the correct answer below. O A. The curve is a vertical line passing through (- 3,0). O B. The curve is a line with slope 1 and y-intercept (0,0). 3 OC. The curve is a line with slope 1 and y-intercept (0, – 3). 3 O D. The curve is a horizontal line passing through (0, – 3).
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 4 cos 0- 10 sin 0 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice. O A. The curve is a horizontal line with y-intercept at the point (Type exact answers, using radicals as needed.) O B. The curve is a cardioid with symmetry about the y-axis. OC. The curve is a cardioid with symmetry about the x-axis. O D. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) O E. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.)
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r=2 cos 0 + 10 sin 0 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice. A. The curve is a horizontal line with y-intercept at the point (Type exact answers, using radicals as needed.) B. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) O D. C. The curve is a cardioid with symmetry about the x-axis. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) O E. The curve is a cardioid with symmetry about the y-axis.
R.1. Identify the amplitude and period. y = 2cos 4x
Todd boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed. Let h represent Todd's height above the center of the Ferris wheel (in feet) and let t represent the number of mintues since the ride started. a. Suppose the radius of the Ferris wheel is 15 feet and the Ferris wheel rotates at 1 radian per minute. Plot the relationship between h andt for this scenario. 30 20 10 t T/2 3n/2 10 +20 -30 Clear All Draw:

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