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Solve the given problems by finding the appropriate derivative.
The energy E(in J) dissipated by a certain resistor after t seconds is given by
At what time is the energy dissipated the greatest?
integrating a differential equation given the initial values.a --0.0001275204323b 0.033810412806466when timet is zero
the function w(d)=0.112d approximates the amount, in centimeter,s, of water that results from d cm of snow melting. Find the amount of water that results from snow melting from depthsof 10cm, 38cm, and 57cm.
A certain species of tree grows an average of 4.2 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 300 centimeters tall.
The intersection of two open sets is compact iff it is empty. Can the intersection of an infinite collection of open sets be a non-empty compact set?
Applications of quadratic equations: Maxima and minima - Based on this model when did the percent of people in this income level reach its minimum? You do not have to graph the function.
What is the probability that x=5
One tire manufacturer found that after 5,000 miles, y=32 of n = 200 steel-belted tires selected at random were defective. Find an approximate 99 percent confidence interval for p, the proportion of defective tires in the total production.
Solve for the derivative of the given function, finding the slope of the line that is tangent to its graph for the specified value of the independent variable
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?
Pack-Em-In has another development in the works. If it builds 50 houses in this development, it will be able to sell them at $250,000 each, but if it builds 110 houses, it will get only $190,000 each. Obtain a linear demand equation.
the distance around a standard tennis court is 228 feet. If the length of the court is 18 feet more than 2 times the width , what are the dimensions of the court?
In each of the following, list three terms that continue the arithmetic or geometric sequences. Identify the sequences as arithmetic or geometric.
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