Mathematics Homework Solutions

Lagrange

Please see attachment Compute the Lagrange interpolating polynomial L(x) for the function f(x) f (x) = √(cos(ax)) a = 1.1125 passing through the points (0, f(0)), (0.5, f(0.5)) and (1, f(1)). Let S1 be the first Simpson’ rule approximation to Show that

Linear Programming

The lakeside boatwork is planning to manufacture three types of molded fiberglass recreation boats, a fishing (bass0 boat, a ski boat, and a small speedboat. The estimated selling price and variable cost for each type of boat are summarized in the following table Bass $12,500 $23,000 Ski 8,5000 18,000 speed ...continues

Matlab help

Two related questions. First - I need a good way to display error bars on a scatter plot. I have a set of x and y data, that I have attached as a text file along with y+err and y-err data (denoted +/-). The err values vary from point to point, and +err and -err are not necessarily the same. Second - I am using the data to ...continues

Statistics: Median and Mode

17 64 91 41 17 17 91 91 What is the median of this data? How many modes does the data set have, and whatr are their values? Indicate the number of modes by selecting the appropirate line and then indicate the values of the modes, if applicable. 1. zero modes 2. one mode 3. two modes

Standard deviation

If x is normally distributed with a mean of 12 and a standard deviation of 6, then P(x≤ 6) is equal to P( Z≤__)?

Linearizing Lorenz Equations using the Implicit Euler Method

I need help to linearize the Lorenz equations so that I can use Matlab to create the butterfly effect, etc. We were given the linearized equations but a couple of students pointed out that one of them was wrong. I don't know which equation is wrong, so if someone could show me how to at least linearize the first Lorenz equatio ...continues

Matlab for Lorenz equations with Gauss Seidel iteration

Hello I am taking a numerical methods class and I have limited Matlab skills to be able to complete this problem by myself. The problem is to linearize the Lorenz equations and then to write a Matlab program without using any built in Matlab solvers such as ODE45, etc. to create the Lorenz butterfly using linearized Lorenz ...continues

Linearization of Implicit Eulers

Why are implicit Eulers different from explicit Eulers?

Calculating percentage

Price of gas yesterday was 2.80, today gas price increased to 2.87 find percentage of increase round to the nearest tenth.

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