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Solve the given problems by finding the appropriate derivative.
Sketch the graph of y = ln sec x marking that part which is the path of the roller mechanism of Exercise 32.
a gate in an irrigation canal is constructed in the form of a trapezoid 3 ft wide at the bottom, 5 ft wide at the top, and 2 ft high. it is placed vertically in the canal so water just covers the gate. find the hydrostatic force on one side of the..
What is the probability that Julio will win? If Jan didn't win, what is the probability that Julio did?
What is the distance between the planes?
State and prove the Squeeze Theorem for sequences. Use it to prove that limn→∞(n2 + n + 48769504 + sin(n)/n4 + πn2 - 2) = 0
How many years would it take to clear 50% of the pollutants? (Round the answer to the nearest thousandth.)
Find the number of hours that represent the 40 percentile.
a rancher needs to enclose two adjacent corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 420 yd of fencing is available, find the largest total area that can be enclosed.
Calculate the mean and standard deviation. What percentage of data lies in the interval μ ± σ ? In the interval μ ± 2σ ?
Rate related problems and Determine 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.
What is a reasonable graph of the function m(t)? Use a rate of change argument to give a differential equation that he scribes how the number of susceptibles decline.
exams in a math class. If her scores on the first four exams are 70, 68, 84, and 82, then answer the following questions.
Derive the Euler-Lagrange Differential Equation (rigorously). Explain any theorems or results that you use in the derivation (e.g. don't just say "by the fundamental theorem of the calculus of variations" without telling what the fundamental theor..
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