Name: <Dr.P.D.McCray>Lab 1Section: <149-001 and 149-002> Exercises 1. Maple has an excellent "Help" facility. a) Find the description of the command "ifactor" in Help. Execute the command "ifactor(113256)". What does the command do? > restart;> ifactor(113256);() 23() 32() 112() 13The "ifactor" command generates the integer factorization of its argument. b) Look up the command "solve" in Help, and use it to solve the following system of 4 equations in 4 unknowns: x + 2y - z - w = -2 x - 2y + 3z - w = 10 -2x -3y - 4z - w = -13 x + y + z + w = 5> > 2. Let f (x) = x +1 - + 4x1. Plot the graph of f , and use the graph and Maple's zoom capability to find the domain, range and zeros of f . > > 3. Write the function p( x ) = ( )cot − 3 x24 as a composite f o g o h of three functions. Check your answer by defining f , g , and h in Maple and performing the composition using "@". > > 4. Find all real zeros of q( x ) = + − − 3 x68 x35 x 19.> > 5. Solve the inequality < + x()cosx()sinx, x in [ ],−π π> > >
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