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Solve the given problems.
The displacement y(in cm) of a weight on a spring in water is given by
where t is the time (in s). What is the maximum displacement? (For this type of displacement, the motion is called critically damped, as the weight returns to its equilibrium position as quickly as possible without oscillating.)
Find the average of x2 + y2 over the triangle with vertices (0, 0), (1, 0), and (1, 1). Find the coordinates of the centroid of the region bounded by the curves y = 2x2 and y=12 - x2.
Find the exponential function N(t) given the growth factor of N is 5.02 and
Once you have the graph of a line, how can you find its slope? Does it matter which points you choose to find the slope? Does the slope vary depending on your choice of points?
What is the probability of In?ation I or recession R if the probability of in?ation is 0.3, the probability of recession is 0.2, and the probability of in?ation and recession is 0.06?
Does the data indicate that the mean remission time using the new drug is different from 12.5 week at a level of significance of 0.01 - test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women.
A manufacturer of window frames know from long experience that 5 percent of the production will have some type of minor defect tht will require an adjustment. What is the probability that in a sample of 20 window frames
A grain silo has a cylindrical shape. Its diameter is , and its height is . What is the volume of grain that can be stored in the silo?
To check the Ace company's claim that the total of their 2,300 accounts receivable was $1,081,000 and that the standard deviation of the individual accounts was $ 210 the external auditor took a sample of 25 accounts which totalled $9,900.
Find the exact volume and exact lateral area of the solid formed when the region bounded by Quadrant I bye the lines x= 9, and y = 5 is revolved about the x-axis.
Write differential equations for the following scenarios: The rate of infection is constant. The rate of infection is increasing at a rate that is proportional to the number of infected people.
1. If a candidate is the winner of an election and in a second election one or more of the other candidates is removed, the previous winner should still be the winner. This criterion is called the ______ method.
What decision do you make about the null hypothesis based on the F statistic and degrees of freedom? What leads you to make this decision?
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