A curve in the xy-plane is parametrically given by x=t+t3andy=t2,wheret∈R is the parameter. For what value(s) of t is dxdy=21? 31 b. 2 c. 3 d. 1

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A curve in the xy-plane is parametrically given by {x}={t}+{t}

Question

A curve in the xy-plane is parametrically given by $x = t + t^{3} a n d y = t^{2}, w h e r e t \in R$ is the parameter. For what value(s) of $t$ is $\frac{d y}{d x} = \frac{1}{2} ?$ $\frac{1}{3}$ b. $2$ c. $3$ d. $1$

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A curve in the xy-plane is parametrically given by

x = t + t^{3} a n d y = t^{2}, w h e r e t \in R

is the parameter. For what value(s) of

t

\frac{d y}{d x} = \frac{1}{2} ?

\frac{1}{3}

2

3

1

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Question Text

A curve in the xy-plane is parametrically given by

x = t + t^{3} a n d y = t^{2}, w h e r e t \in R

is the parameter. For what value(s) of

t

\frac{d y}{d x} = \frac{1}{2} ?

\frac{1}{3}

2

3

1