4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,...
4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 16, 17, 18, 19, 20}
set A = numbers in U that divide into 12 with no remainder,
set B = numbers in U that divide into 16 with no remainder, and set
C = the numbers in U that divide into 20 with no remainder.
a. Made a Venn diagram showing the elements of the sets U, A,...
1) a) From the set {-8, -2/3, 5i, √(-9), √2, 0, 3+3i, -2.35,
7}
i) List...
1) a) From the set {-8, -2/3, 5i, √(-9), √2, 0, 3+3i, -2.35,
7}
i) List the set of Natural Numbers
ii) List the set of Integers
iii) List of the set of Rational Numbers
vi) List the set of Real Numbers
2)Solve the following pairs of simultaneous equations 3x + y = 7
and 2x - 2y = 2
b) i) -30 ÷ -6 - (-12 + 8) – 4 x 3 =
c)Calculate the simple interest earned if...
Question 4
a) Solve y```` -4y```-5y``+36Y`− 36?=0 knowing that xe^2x it's a
solution
b) Determine the...
Question 4
a) Solve y```` -4y```-5y``+36Y`− 36?=0 knowing that xe^2x it's a
solution
b) Determine the general solution for a linear homogeneous
differential equation in y(x) de fourth order, with real
coefficients, knowing that a solution is given by x^3e^4x.
Leave the calculations recorded in the
activity
Solve the system of equations.
4x-3y+z = 18
x+y = 7
Select the correct choice below...
Solve the system of equations.
4x-3y+z = 18
x+y = 7
Select the correct choice below and, if necessary, fill in the
answer boxes to complete your choice.
A. This system has exactly one solution. The solution is left
parenthesis nothing comma nothing comma nothing right parenthesis .
(Type integers or simplified fractions.)
B. This system has infinitely many solutions of the form left
parenthesis nothing comma nothing comma z right parenthesis , where
z is any real number. (Type...
Use Gaussian elimination to find the complete solution to the
following system of equations, or show...
Use Gaussian elimination to find the complete solution to the
following system of equations, or show that none exists.
{5x + 17y + 7z = 14
{2x + 7y -5z = -3
{ x + 3y - 3z = 8
Find the row-echelon form of the matrix for the given system of
equations. (Do not include the vertical bar in the
augmentedmatrix.)
Select the correct choice below and, if necessary, fill in the
answer boxes to complete your choice.
A....
Consider the following Linear Programming model:
Maximize x+2.5y
Subject to
x+3y<=12
x+2y<=11
x-2y<=9
x-y>=0
x+5y<=15
x>=0...
Consider the following Linear Programming model:
Maximize x+2.5y
Subject to
x+3y<=12
x+2y<=11
x-2y<=9
x-y>=0
x+5y<=15
x>=0
y>=0
(a) Draw the feasible region for the model, but DO NOT draw the
objective function. Without graphing the objective function, find
the optimal solution(s) and the optimal value. Justify your method
and why the solution(s) you obtain is (are) optimal. (4 points)
(b) Add the constraint “x+5y>=15” to the Linear Programming
model. Is the optimal solution the same as the one in (a)?...
Use Gaussian elimination to find the complete solution to the
following system of equations, or show...
Use Gaussian elimination to find the complete solution to the
following system of equations, or show that none exists.
{-x + y + z = -1
{-x + 5y -15z = -29
{ 7x - 6y - 11z = 0
Find the row-echelon form of the matrix for the given system of
equations.
(Do not include the vertical bar in the augmented matrix.)
Select the correct choice below and, if necessary, fill in the
answer boxes to complete your choice....