At what rate is the volume changing at the given instant

Reference no: EM131007929

1. Find the equation of the tangent line (in y = mx + b form) to the graph of y = 1/x² at the point (2,1/4) Give a rough sketch of the graph and include this target line on the graph.

2. Suppose X and y are functions of t. If 3x²y + 2x = 2, and dy/dt= -4 when x = 2 and y= -3, then find dx/dt.

3. Boyle's law for gases states that if the temperature is constant, pv = c where p is pressure, V is volume and c is a constant. At a certain instant the volume is 60 in³, the pressure is 20 lb/in² and the pressure is decreasing at a rate of 2 1b/in² every minute. At what rate is the volume changing at this instant?

Reference no: EM131007929

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