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Find all solutions of each of the systems of congruences:-
(a) x is congruent to 1 (mod 2) (d) 4x is congruent to 2 (mod 6)x is congruent to 2 (mod 3) 3x is congruent to 5 (mod 7)x is congruent to 3 (mod 5) 2x is congruent to 4 (mod 11)
(b) x is congruent to 1 ( mod 3) (e) x is congruent to 1 (mod 3)x is congruent to 3 ( mod 5 ) x is congruent to 2 (mod 4)x is congruent to 5 ( mod 7) x is congruent to 3 ( mod 7)x is congruent to 4 (mod 11)
(c) 3x is congruent to 1(mod 5) (f ) 2x is congruent to 1 (mod 5)
4x is congruent to 6 (mod 14) 3x is congruent to 9 (mod 6)5x is congruent to 11 ( mod 3) 4x is congruent to 1 (mod 7)5x is congruent to 9 (mod 11)
Find an equation in the form y=ms +b (where possible) for each line.
Describe the span of the given vectors in terms of the coefficients x, y, z of a general vector b= (x,y,z) in the span. Write b as a linear combination of the given vectors. Question. a1=(3, -6, 3), a2=(-3, 5, 6), a3=(3, -7, 12)
The record for the fastest mile run by a person has been decreasing over time. Back around 1850, when record times were first recorded, the fastest mile time recorded was about 5 minutes. By around 1950, the fastest mile time recorded was about 4 ..
Calculate the mean and the standard deviation of the data to 2 decimal places. Draw the cumulative frequency graph for the data. Find from the graph the median of the data.
There is a linear equation that expresses B in terms of her weight w. Find the equation and find the basal energy requirement if her weight is 53.2 kg.
Equation in single variable
Calculate the doubling time of a population.
1. Determine the spans of the following pairs of vectors and describe it geometrically: (a) v1 = (1,-1,2), v2 = (2,-1,3) (b) w1 = (1,2,-1), w2 = (-5,-10,5)
If the eigenvectors w1 and w2 of A^H*A are orthogonal, then Awi and Aw2 are orthogonal.
Write the slope intercept form of an equation of the line that passes through the given point and is perpendicular to the graph of each equation:
Solve y from the given expression
Graph the line containing the given pair of points and find the slope. Is the system consistent or inconsistent? Are the equations dependent or independent?
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