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write the general solution of 10x1 - 3x2 - 2x3 7 in parametric vector form and relate the solution set to the one
a large apartment building is to be built using modular construction techniques the arrangement of apartments on any
let a be a 3 x 3 matrix with the property that the linear transformation x rarr ax maps r3 onto r3 explain why the
let t r3 rarr r3 be the linear transformation that reflects each vector through the plane x2 0 that is t x1 x2 x3 x1
suppose v1 v2 v3 are distinct points on one line in r3 the line need not pass through the origin show that v1 v2 v3 is
suppose an economy has three sectors agriculture mining and manufacturing agriculture sells 5 of its output to mining
mark each statement true or false justify each answer if true cite appropriate facts or theorems if false explain why
1 find the general solution of the second order differential equation yprimeprime - 2yprime 4y 541e2x cos5x2 consider
suppose the coefficient matrix of a linear system of three equations in three variables has a pivot position in each
consider the problem of determining whether the following system of equations is consistenta define appropriate vectors
describe the possible echelon forms of the matrixa use the notation of example 1 in section
1 negate the following statement without using any negative words no not none etcin every kingdom there is exactly one
let a1 a2 and b be the vectors in r2 shown in the figure and let a a1 a2 does the equation ax b have a solution if so
question 1 the world bank collects data on many variables related to world development for countries throughout the
part a-1 sketch the region enclosed by the graphs of y x2 and y 2x 3 and find the volume of the solid produced when
use mathematical induction to prove the statement is true for all positive integers or show why it is falsea 4middot6
a vibrating system has weight w 4000 lb and a spring stiffness coefficient k 10000 lbin it has been determined
question - consider the spring-mass system whose motion is governed by the initial value problem ivpy 4y 13y cost y0
find the center of mass of the solid bounded by the graphs of x2 y2 z2 4 and x2 y2 2y if the density is
find the surface area that portion of the surface y2 z2 a2 that lies inside the surface x2 y2
find the mass of the region that lies outside the circle r 2 and inside the graph of r 4sin2theta if the area density
problem - find the area between the curves for the equation below and round your answer to one decimal place b4 a1y x2
individual project-this assignment features an exponential function that is closely related to moores law which states
problem - power and energythe total energy in megawatt-hr mwh used by a town is given byet 400t 2400pisinpit12where t
1 evaluate the integral - int3dxx2x2252 determine whether the improper integral converges and if so evaluate it--5int4