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

Revision as of 11:07, 18 February 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">Compute
+<span class="exam">A curve is described parametrically by
+::::<span class="exam"><math>x=t^2</math>
+::::<span class="exam"><math>y=t^3-t</math>
-::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
+::<span class="exam">a) Sketch the curve for <math>-2\le t \le 2.</math>
-::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
+::<span class="exam">b) Find the equation of the tangent line to the curve at the origin.
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