Optimization, finding & using maxima & minima, is an important reason to learn calculus. This procedure requires
both arithmetic/algebra/geometry/precalc and calc.
To create the formula to be maximized or minimized, arithmetic, algebra, geometry, & precalc are most important.
To find the extrema calculus is used.
In the text, section 3.7, pg. 216-218, use arithmetic, algebra, geometry, & precalc to set up the equation to be
maximized or minimized. Show paper & pencil work for problems 2, 3, 4, 5, 6, 7, 9, and 11 required to
generate these equations.
State the interval over which the variable is defined.
29.Complete page 216 number 17, maximizing area inclosed by fences.
Complete page 216 number 18, maximizing area inclosed by fences.
30. Newton's Method permists one to zoom in mathematically on an x-value or
function value. On the graph below, draw and label the points and segments required to complete 3 iterations of
Newton's Method used to find the x-intercept of f(x),