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Question: If the stone is thrown down at 100 ft/sec from a height of 850 feet, it’s higher after t seconds is given by s = 850 – 100t – 16t2.
[A] Find its instantaneous velocity at time t = 4.[B] Estimate its average velocity over the period [1, 4].
Calculation of a Laplace Transform from first principles
Using the window setting to make a graph.
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
Find the derivative of the function by using quotient rule.
Use augmented matrices
Discrete Structure Assignment: - The Fibonacci numbers are defined as follows: f0 = 0, f1 = 1, and Fn = F n-1 + F n-2 for n >=2, Prove each of the following three claims:
Evaluate the matrix of transformation
Trigonometric function to estimate the exact value.
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
Analysis the graph of the derivative.
Evaluate a function on fixed-point iteration will converge to a positive solution of the equation.
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