CSC 161 Fall 2022 - Homework 3 (10 pts. total)
Assigned Tue Sep 13, due Tue Sep 20
Answer the following questions using Maple. Complete the entire assignment in a single Maple file. Submit on Moodle using the filename hw3-LastName (where LastName is replaced by your last name):
Questions for Sep 13 lesson
[ 1 pt. ] 1. Use two separate commands to find the quotient & the remainder for (x2+7x+12) / (x+3).
[ 1 pt. ] 2. For the polynomial 7x3 + 6x4 - 5x2, find the leading coefficient. Then, find the coefficient of x2.
[ 1 pt. ] 3. Assign the variable A to represent a 2 by 2 matrix whose first row is [4 3] and whose second row is [2 1].
[ 1 pt. ] 4. For the matrix A defined in Question 3, find A+A and AT.
[ 1 pt. ] 5. For the matrix A defined in Question 3, write a command to print the first row. Then, write a command to print the first column. [Hint: To print the first column, use a command to delete the second column. Use Maple Help to learn how to delete a column of a matrix.]
Questions for Sep 15 lesson
[ 1 pt. ] 6. Use implicitplot3d to graph the system of equations: {y = 2x, x + y - z = 1, 3x - y + z = 7}.
[ 1 pt. ] 7. Find the limit as x-->0 of (1 - cos x)/x.
[ 1 pt. ] 8. Find the second derivative of x3.
[ 1 pt. ] 9. Find the definite integral of f(x) = x3 with respect to x on the interval [1,2].
[ 1 pt. ] 10. Find the Taylor series of g(x)=ex at x = 0, where e is the exponential e (which equals about 2.718).
Last Modified: 9/13/22