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Math
Determine the direction in which the scalar field
φ( x, y) = xy^2 + x^3y increases the
fastest at the point (1, 2).
φ( x, y) = xy^2 + x^3y increases the
fastest at the point (1, 2).
Given tan(A) = (3/4), 0 < A < (π/2) and cos(B) = (5/13), (3π/2) < B < 2π) determine cos(2A)
Given tan(A) = (3/4), 0 < A < (π/2) and cos(B) = (5/13), (3π/2) < B < 2π) determine sin(A - B)
Find all solutions in the interval [0, 2π): 2cos^2(2θ)-1=0
a. π/4, 3π/4, 5π/4, 7π/4
b. π/8, 3π/8, 5π/8, 7π/8, 9π/8, 11π/8, 13π/8, 15π/8
c. π/8, π/4, 3π/8, 3π/4
d. π/2, π/4, 3π/2, 3π/4, 5π/2, 5π/4, 7π/2, 7π/4
d. none of these
a. π/4, 3π/4, 5π/4, 7π/4
b. π/8, 3π/8, 5π/8, 7π/8, 9π/8, 11π/8, 13π/8, 15π/8
c. π/8, π/4, 3π/8, 3π/4
d. π/2, π/4, 3π/2, 3π/4, 5π/2, 5π/4, 7π/2, 7π/4
d. none of these
Math
find the minimum number of intervals required to evaluate integartion 0 to 1 e^-x^2 dx woth an accuracy of 1/2 X 10^-4 by using trapezoidal rule
A chemistry student wishes to make 100 c.c of 27% acid solution. he has two solutions of 20% acid and 30% acid. how many cubic centimeters of each solution should be combined to get the required solution?
Math
obtain an approximate value of integration 0 to 1 dx/1+x^2 using composite simpsons rule with h= 0.25 and h=0.125. Find also the improves value using Romberg's integration.
how man gallons of a solution containing 55% glycerine, should be added to 25 gallons of a solution containing 28% glycerine, to give a solution that contains 35% glycerine?
The solution of the system of equations (1 2, 2 1)(x,y) =(4,-2) is attempt by the Gauss Jacobi and Gauss Seidel iteration schemes. Set up the two schemes in matrix form. Will the iteration schemes converge? Justify your answer.
Starting with x^(0)=[1 1 1]^T, find the dominant eigenvalue and corresponding eigenvector for the matrix A= [4 -1 1, 4 -8 1, -2 1 5] using the power mwthod
