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(a) Determine the matrix that first rotates a two-dimensional vector 180° anticlockwise, and then per- forms a horizontal compression of the resulting vector by a factor 1/2 (leaving the vertical component unchanged).
(b) Determine the matrix that first performs a horizontal compression by a factor 1/2 (leaving the vertical component unchanged) for a two-dimensional vector, and then rotate the resulting vector 180° anticlockwise.
(c) Are the two matrices in (a) and (b) the same? Explain why, or why not.
L'Hospital's Rule Assume that we have one of the given cases, where a is any real number, infinity or negative infinity. In these cases we have, Therefore, L'H
Determine all possible solutions to the subsequent IVP. y' = y ? y(0) = 0 Solution : First, see that this differential equation does NOT satisfy the conditions of the th
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railway tunnel of radius 3.5 m and angle aob =90 find height of the tunnel
THE CURVE C HAS POLAR EQUATION R=[X^1/2][E^X^2/PI]. WHERE X IS GREATER THAN OR EQUAL TO 0 BUT LESS THAN OR EQUAL TO PI. THE AREA OF THE FINITE REGION BOUNDED BY C AND THE LINE X EQ
Rules Of Game Theory i. The number of competitors is finite ii. There is conflict of interests among the participants iii. Each of these participants has available t
A series is said to be in Arithmetic Progression (A.P.) if the consecutive numbers in the series differs by a constant value. This constant value is referre
Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA
how to make a venn diagram?
convert the equation 4x^2+4y^2-4x-12y+1=0 to standard form and determine the center and radius of the circle. sketch the graph.
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