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Consider the function f(x)= x tan(x)-2
1(a) Find the Linearization, L(x) , of the given function at x = . Show all steps! Round the coefficients to 3 decimal places.
(b) Find the x-intercept of L(x) as a way of estimating the x-intercept of f(x). Round the coefficients 3 decimal places.
A parcel of land is in the shape of a rectangle with length L (in feet). 65% of the length is waterfront and 70 feet of the length is not waterfront. Write and solve an equation to find the lenght of the parcel of land.
Describe Important information about Queuing Theory. Compute the operating characteristics for the drive-through window queuing system.
Prove that a graph G is a forest if and only if every induced subgraph of G contains a vertex of degree at most 1.
find the interest and the amount repaid using a 360-day year. round to the nearest cent. $9400.00principal, 10%rate, 36 days time. need to find the interest and amount.
Clyde's Marina has estimated that fixed costs per month are $303,480 and variable cost per dollar of sales is $0.40.
For each of the following properties, find a binary relation R such that R has that property but R^2 (R squared) does not:
The following random sample was selected from a normal distribution: 10, 12, 12, 15, 13, 15 & 16.Test the hypothesis that the true mean exceeds 12. [Use α =.01]
Suppose that in a company with 775 employees, the monthly salaries are normally distributed. The mean salary is $6400 and the standard deviation is $800. About how many employees earn more than $4200 per month?
Use a two sided test at the alpha level.
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then its height is a function of time, given by s(t) = -16t squared + 64t.
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
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