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1. Use implicit differentiation to find an equation of the tangent line to the ellipse x2 + xy + y = 3 at the point (1, 1). 2. Find the equation of the normal line to the curve y = sina at the point 4 3. If a snowball melts so that its surface area decreases at a rate of 1 cm / min, find the rate at which the diameter decreases when the diameter is 10 cm. 4. Find the linearization L(x) of the function f(x) = e cosx at the point a = 0. 5. Use logarithmic differentiation to find the derivative of the function f(x) = (cos.x)". x - 1 6. Find the differential of the function f(x) = arcsin