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Use a Table of Values to Graph the Plane Curve $x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi]$

Question 42

Multiple Choice

Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation
for the curve.
- $x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi]$
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi] A) \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) B) y = 4 \sqrt { 1 + \frac { x ^ { 2 } } { 25 } } , \text { for } x \text { in } ( - \infty , \infty ) C) \frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) D) y = x ^ { 2 } - 9 , \text { for } x \text { in } [ - 3,3 ]$

A)
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi] A) \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) B) y = 4 \sqrt { 1 + \frac { x ^ { 2 } } { 25 } } , \text { for } x \text { in } ( - \infty , \infty ) C) \frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) D) y = x ^ { 2 } - 9 , \text { for } x \text { in } [ - 3,3 ]$
$\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty )$

B)
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi] A) \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) B) y = 4 \sqrt { 1 + \frac { x ^ { 2 } } { 25 } } , \text { for } x \text { in } ( - \infty , \infty ) C) \frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) D) y = x ^ { 2 } - 9 , \text { for } x \text { in } [ - 3,3 ]$
$y = 4 \sqrt { 1 + \frac { x ^ { 2 } } { 25 } } , \text { for } x \text { in } ( - \infty , \infty )$

C)
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi] A) \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) B) y = 4 \sqrt { 1 + \frac { x ^ { 2 } } { 25 } } , \text { for } x \text { in } ( - \infty , \infty ) C) \frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) D) y = x ^ { 2 } - 9 , \text { for } x \text { in } [ - 3,3 ]$
$\frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty )$

D)
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi] A) \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) B) y = 4 \sqrt { 1 + \frac { x ^ { 2 } } { 25 } } , \text { for } x \text { in } ( - \infty , \infty ) C) \frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty ) D) y = x ^ { 2 } - 9 , \text { for } x \text { in } [ - 3,3 ]$
$y = x ^ { 2 } - 9 , \text { for } x \text { in } [ - 3,3 ]$

Use a Table of Values to Graph the Plane Curve x=5tan⁡t,y=4sec⁡t, for t in [0,2π]x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi]x=5tant,y=4sect, for t in [0,2π]

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Use a Table of Values to Graph the Plane Curve $x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi]$

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