Metals are elements which always from cations – positive ions. Metal atoms loose electrons when bond with other atoms.

Particles in solids and liquids are close to each other in a sample causing solids and liquids to have definite volume and being compressible.

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

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

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.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.