# Give parametric equations that describe a full circle of radius​ R, centered at the origin with...

Give parametric equations that describe a full circle of radius​ R, centered at the origin with clockwise​ orientation, where the parameter t varies over the interval ​[0,22​]. Assume that the circle starts at the point​ (R,0) along the​ x-axis. Consider the following parametric​ equations, x=−t+7​, y=−3t−3​; minus−5less than or equals≤tless than or equals≤5. Complete parts​ (a) through​ (d) below.  Consider the following parametric equation.

a.Eliminate the parameter to obtain an equation in x and y.

b.Describe the curve and indicate the positive orientation.  Consider the following parametric equations.

a. Eliminate the parameter to obtain an equation in x and y.

b. Describe the curve and indicate the positive orientation. Eliminate the parameter to express the following parametric equations as a single equation in x and y. x=tant​, y=sec^2t-1 Give parametric equations that describe a full circle of radius R, centered at the origin with clockwise orientation, where the parametert varies over the interval [0,22]. Assume that the circle starts at the point (R.0) along the x-axis. x= 10 cos () Rsin (.):osts22
Consider the following parametric equations, x = -t+7, y = - 3t-3; -5 sts5. Complete parts (a) through (d) below. a. Make a brief table of values of t, x, and y. tl -5 0 X(t) 12 10 7 y(t) | |12 -3 - 12 - 18 (Type integers or decimals.) 4 b. Plot the (x, y) pairs in the table and the complete parametric curve, indicating the positive orientation (the direction of increasing t). OA. ch on 21 30 30 -30 c. Eliminate the parameter to obtain an equation in x and y. y = 3x – 24 (Type an equation.)
c. Eliminate the parameter to obtain an equation in x and y. y = 3x - 24 (Type an equation.) d. Describe the curve. OA. A line segment rises from left to right as t increases. O B. A line segment rises from right to left as t increases. OC. A line segment falls from right to left as t increases. O D. A line segment falls from left to right as t increases.
Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x and y. b. Describe the curve and indicate the positive orientation. x= -12 cos 2t, y= -12 sin 2t; O sts a. Eliminate the parameter to obtain an equation in x and y. O A. (x + 12)2 + (y + 12)2 = 144 OB. - 144 cos 22x + = 144 sin 22y = 12 O C. (x – 12)2 + (y - 12)2 = 144 D. x² + y2 = 144 b. Describe the curve and indicate the positive orientation. It is a full circle generated counterclockwise.
Con: a. El bD the right half of a circle generated counterclockwise. the upper half of a circle generated clockwise a full circle generated clockwise. a full circle generated counterclockwise. the right half of a circle generated clockwise. the lower half of a circle generated clockwise. the lower half of a circle generated counterclockwise. the upper half of a circle generated counterclockwise. the left half of a circle generated clockwise. the left half of a circle generated counterclockwise b. D. It is a full circle generated counterclockwise.
Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x and y. b. Describe the curve and indicate the positive orientation. x=r-2, y=p2-9, -35153 a. Eliminate the parameter to obtain an equation in x and y. x3 + 6x2 + 12x-1 (Type an equation.) b. Describe the curve and indicate the positive orientation. (Type ordered pairs. Simplify your answers.) O A. A cubic curve rises to the right as r increases, starting at (-5, -36) and ending at (1,18) B. A quadratic curve falls and then rises to the right as r increases, starting at and ending at . O O C. A cubic curve falls to the left as r increases, starting at and ending at D. A quadratic curve falls and then rises to the left as r increases, starting at . and ending at O
Eliminate the parameter to express the following parametric equations as a single equation in x and y. x = tant, y = sec ?t-1 The equation is y=x?). (Type an equation.)

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