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Root test for convergence of geometric series.
Use the root test to show that a geometric series converges only if its ratio has absolute value less than 1, or its term is 0.
Find the interval of convergence of a power series.
Find a power series representation for the function f(x) = x/(1 - x) and determine its interval of convergence.
Estimate rate of changes.
The tangent line equation
Find the constant of variation and write an equation of direct variation -
Evaluate which equations are under-identified, just-identified, and over-identified.
Simplify the logarithmic expressions by using logarithmic properties - Simplify the provided logarithmic expressions
Finding the solution for the specified variable in the given equation and Solve: 3xy = wyz
Find the principal amount
Finding the dimensions of a rectangle using second derivative test - Find length and width should the rectangle have so that its area is a maximum?
Solving differential equations with initial conditions - Sketch a graph of the rate of change and solution and Describe your results in words.
Application of differentiation and integration on real world problem - Show the cost of running the car air conditioner vs. just rolling down the windows. Irecommend you investigate the google searches on Air conditions fuel efficiency car and Ai..
Evaluate a function on fixed-point iteration will converge to a positive solution of the equation.
Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
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