Difference between revisions of "009C Sample Final 3, Problem 10"

Revision as of 18:01, 4 March 2017

A curve is described parametrically by

x=t^{2}

y=t^{3}-t

(a) Sketch the curve for $-2\leq t\leq 2.$

(b) Find the equation of the tangent line to the curve at the origin.

Solution:

(a)

Step 2:

(b)

Step 2:

Final Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
 <span class="exam">A curve is described parametrically by
-::::<span class="exam"><math>x=t^2</math>
+::<span class="exam"><math>x=t^2</math>
-::::<span class="exam"><math>y=t^3-t</math>
+::<span class="exam"><math>y=t^3-t</math>
-::<span class="exam">a) Sketch the curve for <math>-2\le t \le 2.</math>
+<span class="exam">(a) Sketch the curve for &nbsp;<math>-2\le t \le 2.</math>
-::<span class="exam">b) Find the equation of the tangent line to the curve at the origin.
+<span class="exam">(b) Find the equation of the tangent line to the curve at the origin.
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
@@ Line 20: / Line 20: @@
 |
 |}
 '''Solution:'''
@@ Line 62: / Line 63: @@
 |
 |}
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"