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Define a mapping from the x,y plane to the u,v plane by u = 2x + y, v = -x +2y .
If a temperature function is given in the x,y plane by T(x,y) = x+y, what is the value, to 3 decimal places, of the corresponding temperature function T1(u,v) at the point (u,v) = (e,f)?
Determine the missing entries in the following divided difference table and use the result to estimate f(1/2).
y''=2xy/x^2-y^2
Prove that the Lagrangian coef?cient polynomials for p n (x) satisfy ∑ n k=0 l k (x) = 1. Hint: It is only a 3-line proof. Consider the interpolating polynomial for a constan
integral dx/root of sinx using beta and gamma functions
If V is the initial speed of the ball at angle of elevation a , if the origin of the coordinate system is chosen to coincide with the propulsion device, then the initial conditi
You are working as an engineer on a project that involved being able to accurately measure the fluid level change in a large outdoor holding tank. The fluid level rises and falls a
Answer the following set of simultaneous equations using elimination or substitution method. a) x-y +z= 10 b) 3x+y+2z=34 c) -5x+2y-z=-14
prove that A=3i+j-2k, B=-i+3j+4k ,C=4i-2j-6k and find the length of the triangle
Arrianna spended $5,500 at 7.5% p.a. compounded quarterly for 'n' years. At the end of 'n' years, Arrianna got back $12,000. What is the value of n? (Approximate your answer in yea
Question 1 Find all solutions of the following equations in the interval [0, 2π) (a) sin(2x) = √2 cos(x). (b) 2 cos 2 (x) + 3 sin(x) = 3. 2. Sketch the graph of the ci
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