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Element is the simplest type of matter – it cannot be broken down to any simpler substances.

Use l’Hospital’s rule, if applicable, to find the limit.

Find the equation of the tangent line at the given point on the curve.x2 + y2 + 2y = 0; (0, -2)

Find the indicated absolute extremum as well as all values of x where it occurs on the specified domain.f(x) = x3 – 3×2; [0, 4]Minimum

Assume x and y are functions of t. Evaluate dy/dt.xy + x = 12; dx/dt = -3, x = 2, y = 5

Find the indicated absolute extremum as well as all values of x where it occurs on the specified domain.f(x) = x3 – 2×2 + 3x – 4; [-2, 5]Minimum

Solve the problem.Find two numbers x and y such that their sum is 420 and x2y is maximized.

Solve the problem.A local office supply store has an annual demand for 40,000 cases of photocopier paper per year. It costs per year to store a case of photocopier paper, and it costs to place an order. Find the optimum number of cases of photocopier paper per order. Hint: Use formula from the critical point theorem.

Solve the problem.Find the elasticity of demand E for the demand function

What is the expected major product of the reaction shown?