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Let w(t) be the number of widgets produced at time t. Let the rate of production (widgets per week) for widgets at a company is given by
w'(t)= 50,000(1- (1000/(t+10)^2) .
Integrate both sides of the previous differential equation from 0 to 10 to get the total production of widgets in the first 10 weeks of production. Assume that at week 0 no widgets were produced. Hint: you will need to apply the fundamental theorem of calculus and use a simple substitution. Show all details and steps.
The width of a video game cartridge is 2 in. more than the length. The area is 16in squared. find the dimensions of the cartridge.
In an election between two candidates, 470 votes were cast. If the winner received 320 more votes than the loser, how many votes did the loser receive?
a right tringle has legs of length 3 time x meter and 4 times x meter and the hypotenuse of length 75 meter. what is the lengths of the legs of the tringle.
An oil storage tank ruptures at time t = 0 and leaks oil at a rate of r(t) = 100e-0.01t liters per minute. How much oil leaks out during the first hour?
What is seen in the histogram created for the heights of students in this class (include the shape)? Explain your answer.
Always look for a common factor. If there is one, factor out the largest common factor. Use an example to explain how to identify and factor out the largest common factor. (minimum 50 words).
Probability of drawing the following card. One card is drawn from an ordinary deck of 52 cards. Find the probability of drawing the following card
Sterling average 10 miles per hour riding his bike to town. Averaging 30 miles per hour by car takes him 2 hours less time. How far does he travel to town?
Probability of rolling the given sum on two dice. You are rolling a pair of dice, one red and one green. What is the probability of the following out comes
a 28-years-old man pays $165 for a one year life insurance policy with coverage of $140,000. if the probability that he will live through the year is 0.9994. what is the expected value for the insurance policy?
apply Newton's method to f(x)= the tired norm of x using unit step size. show that it is linearly convergent. Why does quadratic convergence not occur?
What was the book value of the equipment inventory at the six-year point, substituting the new hydraulic lift for the original after the new lift had joined the inventory?
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