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Find dy/dx and also d^2y/dx^2. For which values of t is the curve concave upward? 0 votesFind dy/dx and d^2y/dx^2. For which values of t is the curve concave upward?x = 2 sin t, y = 3 cos t, 0 parametric-equationsfirst-and-second-derivativesconcave-upwardaskedFeb 2, 2015in CALCULUSby anonymous

Step 1:

The curve is and also .

You are watching: For which values of t is the curve concave upward?

Consider .

Differentiate with respect to . Consider Differentiate with respect to .  Find . Find . Step 2:

Consider .

For concave upwards  Multiplying by negative sign will reverse the inehigh quality.  Secant value is negative in Second and also 3rd quadrant that is .

Hence, the curve is concave upwards in .

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Solution: , and

The curve is concave upwards in .