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Part a) Find the equation of the tangent line to the curve (an ellipse) + = 1 at the point (-2, - v128). The equation

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Part a)

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Find the equation of the tangent line to the curve (an ellipse) + = 1 at the point (-2, - v128). The equation of this tangent line can be written in the form y = ma + b where m is: and where b is:Water is pouring into a conical tank at the rate of 8 cubic feet per minute. If the height of the tank is 9 feet and the radius of its circular opening is 4 feet, how fast is the water level rising when the water is 4 feet deep? feet per minute See Example 2 page 136 for a sketch and a similar exampleUse implicit differentiation to nd the slope of the tangent line to the curve 2:2 223; + 2;? = 90 at the point (3, 3). m

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