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1. Discuss the pros and cons of the forward-difference and backward-difference. Provide examples on each case and possible ways to increase the accuracy of these methods.
2. Who was Richardson's extrapolation named after? What are some of his significant contributions from his work in mathematics and/or related fields? Be sure to include at least one citation and reference for a scholarly source outside of your textbook.
Okay this is short essay answer discussion question. The responses do not have to be extensively long, just enough to explain what they are completely and provide appropriate examples.
Please do NOT work this problem. but how would you know in this case whether to approach it from a min/max point? Is there anything other than the obvious "least" keyword?
Use Gram-Schmidt algorithm to the sequence {x_1,x_2, x_3} to find an orthonormal basis of S. Use the result above to find the QR factorization of the matrix A=(x_1l x_2l x_3).
The marginal cost function
Find the global extrema of the function f(x,y)= x^4 + 3y^2 on the closed region given by: [0 (
Mr. Smith feels that each day his dog should have at least 8 units of protein, 5 units of carbohydrates, and 16 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least cost?
How do you explain why vectors QR and RQ are not equivalent? Explain when the elimination method for solving a system of equations is preferable to the substitution method.
Develope a formula for the overall probability of kill, assuming that N defensive missles are launched.
An anchor weighing 105 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 30 ft.
Find the diameter of the largest circular pond that could fit in a triangular garden with vertices at (18,54), (-27,36), and (27,-18), where a unit reprsents 1m.
In each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false).
Total number of ways a customer can place the order, A bagel shop offers 14 varieties of bagels, 11 flavors of cream cheese, and 15 flavors of coffee. How many different orders for a bagel
Compute the integral of xdz (|z|=r) for the positive sense of the circle in two ways first by using parametrization and second by observing that x=(1/2)(z+z conjugate)=(1/2)(z+r^2/z) on the circle.
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