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Solve the given problems by finding the appropriate derivative.
An object on the end of a spring is moving so that its displacement (in cm) from the equilibrium position is given by
Find the expression for the velocity of the object. What is the velocity when t = 026 s ? The motion described by this equation is called damped harmonic motion.
find the demensions of the fence that will maximize the area. What is the maximum area?
The player who draws a red tile first is the winner. In the first round, Thomas goes first, then Jenna, and then Maria, and none of them draws a red tile. What is the probability that Thomas will win the game on his second turn?
This quiz has a total of 28 multiple choice questions (MCQ) half point each with 4 bonus points. All questions are compulsory. Some questions have up to 6 alternatives, while other questions have fewer alternatives but there is only one correct an..
A recent poll of 2350 U.S. voters found that 1034 of them currently approve of Obama's performance as president. Make a 99% confidence interval for the proportion of all U.S. voters that approve of Obama's performance. Describe the meaning of th..
Building materials for the tank cost $10 per square foot for the base and $5 per square foot for the sides. What is the cost of the least expensive tank?
Refer to wage data, which reports information on annual wages for a sample of 100 workers. Also included are variables relating to industry, years of experience, and gender for each worker.
What is the chance that both circuits she selects will be defective? Show step by step work! Approximate the solution to the nearest ten thousandth.
How is the solution affected if the constraints are changed to y(0) = 0 and y'(0) = 1 ? What is the special about this case?
Solve the system of equations by the substitution method:
Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q=xy, where x+y=50
An airplane ticket costs $200 if there are 50 or fewer people on the plane. But for each passenger over 50, the price per ticket is reduced by $2. (For example, if there are 52 passengers, then a ticket costs $196.) If revenue is maximized, how ma..
Find an equation of the tangent line at the point P (2, f(2)) for the graph of f(x) = 3x^2+4x+2
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