A curve in the xy-plane is defined by (x(t),y(t)), where x(t)=sin(2t) and y(t)=cos(3t). Which of the following is equivalent to d/dt (x(t),y(t)) ? A=(cos(2t), sin(3t))
B=(2cos(2t), -3sin(3t))
C=(2cos(2t), 3sin(2t))
D= (-2cos(2t), -3sin(3t))

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step-by-step explanation:

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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