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Applications of quadratic equations: Maxima and minima
A rain gutter is to be made up of rectangular aluminum sheets 12 inches wide by turning up the sides edges 90 degrees. What depth (of the edges) will provide a maximum cross sectional area and thereby provide for the greatest flow of water?
Find the derivative using logarithmic differentiation
Rate of change occurs in a side of a triangle with respect to the change occurs in another side - Find the rate it is dropping?
Use rules of differentiation.
Solve the logarithmic equations
Use of trigonometric ratios to find the distance - Two boats leave the port at the same time.
Evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
Estimate rate of changes.
Sketch the graph from information.
A cyclic group is a special kind of group that has many similarities with modular arithmetic.
Prepare the equation of the rectangular hyperbola - Find the equation of the rectangular hyperbola
Calculating the first derivative and critical point.
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