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

Revision as of 18:24, 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 3: / Line 3: @@
 ::<span class="exam"><math>y=t^3-t</math>
-<span class="exam">(a) Sketch the curve for &nbsp;<math>-2\le t \le 2.</math>
+<span class="exam">(a) Sketch the curve for &nbsp;<math style="vertical-align: -2px">-2\le t \le 2.</math>
 <span class="exam">(b) Find the equation of the tangent line to the curve at the origin.