Consider an object moving in the plane whose location at time t seconds is given by the parametric equations: x(t)=4cos(πt) y(t)=3sin(πt). assume the distance units in the plane are meters. (a) the object is moving around an ellipse (as in the previous problem) with equation: x2 a2 + y2 b2 =

x(t)=4cos(πt) -divide by 4

y(t)=3sin(πt) -divide by 3

x(t)/4 = cos(πt) -to the square

y(t)/3 = sin(πt) -to the square

x(t)²/16 = cos²(πt)

y(t)²/9 = sin²(πt)

Sum this:

x(t)²/16 + y(t)²/9 = cos²(πt)+sin²(πt)

x²/16 + y²/9 = 1.

a² is 16 and b² is 9 therefore a=4 and b=3.

Parametric equation of elipse is generally:

x(t) = a cos(f(t))

y(t) = b sin (f(t))

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

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step-by-step explanation: