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Solve the given problems by finding the appropriate derivative.
In a study of traffic control, the number of vehicles on a certain section of a highway from 2 p.m. to 8 p.m. was found to be
where t is the number of hours after 2 p.m. At what time is the number of vehicles the greatest?
A ball is thrown straight down from the top of a 350 foot building with an initial velocity of -20 feet per second. What is the instantaneous velocity after falling 85 feet?
What is the difference between gauss jacobi method and gauss seidel method in numerical methods
A tank of water has a base a circle of radius 2 meters and vertical sides. If water leaves the tank at a rate of 9 liters per minute, how fast is the water level falling in centimeters per hour?
Let f(z)=u+iv be an analytic function, phi(u,v) any function with second order partial derivatives and g(u,v) any function with first order partial derivatives.
Four congruent quarters circle are drawn inside square of side length four centimeters f ind the shaded area
I have found the number of deaths in the United States due to each medical condition in each of the following years.
For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled.
Draw an aggregate-demand / aggregate-supply diagram to show the short-run effect of this decision on the economy. Label the new levels of prices and real output. Explain in words why the aggregate quantity of output supplied changes.
Use the resulting solution points to sketch the graph of the equation and graphically estimate the x- and y- intercepts of the graph.
question find the augmented matrix for the following system of linear equations2x 9y 22z 536x 26y 63z 1517x 28y
exp(integral from 0 to t fo A(x) ds) is not a matrix solution of the system x' = A(t)x. However, show that the given exponential formula is a solution in the scalar case (A(t) in R), and dene when it is a solution in the matrix valued case (A(t) in R..
A class is answering a multiple choice question with 4 choices what fraction of the class should pick the correct answer if they are not guessing but using their knowledge
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