How do you differentiate the following parametric equation: # x(t)=t-cos^2t, y(t)=tsint #?
Given that
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To differentiate the parametric equations (x(t) = t - \cos^2(t)) and (y(t) = t \sin(t)), you'll need to use the chain rule and product rule where necessary. Here are the derivatives:
[ \frac{{dx}}{{dt}} = 1 + 2\cos(t)\sin(t) ]
[ \frac{{dy}}{{dt}} = \sin(t) + t\cos(t) ]
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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- How do you transform parametric equations into Cartesian form: x= 3 + 2 cost and y= 1 + 5sint?
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