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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

Please log in or register to add a comment. Please log in or register to answer this question. 1 Answer 0 votes

**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:**

The curve is concave upwards in

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