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Differential equations with initial conditions
For the following description of a cell, write a differential equation, find and graph the solution, and indicate whether the solution makes sense for all time.
A cell starts at volume 400 µm³/s, and gains volume at a rate of 3 µm³/s.
Find the general solution for given trigonometric equation on the given interval.
You have to perform a reliability analysis of the downtime data.
Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail
Factoring is the problem of computing, on input a positive integer n, a factorization of n in terms of prime powers
Determine the expected payoff of the game
Find the second derivative
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
Trigonometric function to estimate the exact value.
What speed is the lamp's spot moving as it passes the point where it is perpendicular to shore? How fast is the spot moving along the shore when the spot is 1 km from the point at which it is perpendicular?
Finding the possible length using the law of cosine.
Computing the height of the building -If, at this point, he is 12 feet from the building, what is the height of the building? Draw a picture, show all work, and find the solution. Round to the nearest hundredths.
Use taylor series expansion to find the given variables.
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