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Rate related problems.
The distance S, (in feet) covered by a car t seconds after starting from rest is given by: S(t) = -t3 + 8t2 + 20t; (0 ≤ t ≤ 6) find the general expression for the car's acceleration at any time t, and show that car is decelerating 2(2/3) seconds after starting from rest.
Finding the side lengths of the given triangle - Evaluate the vertices of the triangle such that its area is a minimum.
Evaluate whether the given sets of vectors form a basis or not.
The slope of the tangent line.
Differential equations with initial conditions - Evaluate and graph the solution, and indicate whether the solution makes sense for all time.
Assignment on Business mathematics and statistics, Fix a Straight Line Trend equation by the method of Least Square Principle method. Assuming that the same rate of change continues what would be the predicted earnings for the year 1990?
Find the price of the material
Determine the displacement y(x,t) to the string at any point at any subsequent time described by a function
Evaluate the constant of variation and write an equation of direct variation
Calculating the local maximum and minimum.
Evaluate the given expression and Perform the indicated operation - Evaluate -2x 4 - 3x 2 + 5x - 9 for x = 2.
The equation of tangent line.
Identifying local maximum, local minimum.
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