For the following exercises, use the secant method, an alternative iterative method to Newton’s method. The formula is given by x n = x n − 1 − f ( x n − 1 ) x n − 1 − x n − 2 ( x n − 1 ) − f ( x n − 2 ) 452. Find a root to 0 = e x − 2 accurate to four decimal places.
For the following exercises, use the secant method, an alternative iterative method to Newton’s method. The formula is given by x n = x n − 1 − f ( x n − 1 ) x n − 1 − x n − 2 ( x n − 1 ) − f ( x n − 2 ) 452. Find a root to 0 = e x − 2 accurate to four decimal places.
The masses measured on a population of 100 animals were grouped in the
following table, after being recorded to the nearest gram
Mass
89 90-109 110-129 130-149 150-169 170-189 > 190
Frequency 3
7 34
43
10
2
1
You are given that the sample mean of the data is 131.5 and the sample
standard deviation is 20.0. Test the hypothesis that the distribution of masses
follows a normal distribution at the 5% significance level.
Let l=2L\sqrt{5} and P=(1,2) in the Poincaré plane. Find the uniqe line l' through P such that l' is orthogonal to l
Construct a triangle in the Poincare plane with all sides equal to ln(2). (Hint: Use the fact that, the circle with center (0,a) and radius ln(r), r>1 in the Poincaré plane is equal to the point set { (x,y) : x^2+(y-1/2(r+1/r)a)^2=1/4(r-1/r)^2a^2 }
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