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Show that the system of equations
2x + y + z = -6a2x + y + (b +1)z = 4bx + 3y + 2z = 2a
Has a unique solution except when b = 0 and b = 6.
If b = 0, show that there is only one value for a for which a solution exists, and find the general solution in this case.
Discuss the case when b = 6.
Interpret your solutions in terms of the kernel and image of the linear transformation T: o^3 --> o^3 represented by the equations.
How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)? And how do you interpret the relationship between two variables (independent and dependent) based on the type of the slope?
Find the function whose tangent line has the slope ex for each value of x, and whose graph passes through (0, 5). Find the function whose tangent line has the slope (3x2 + 1)‾ for each value of x and whose graph passes through (0, 2).
Solve the following linear system using Gaussian elimination.
Write a quadratic equation in the variable x having the given number as solutions. Type the equation in standard form, ax^2+bx+c=0 Solution:5, only
A laptop computer is purchased for $1500. Its value each year is about 80% of its value in the preceding year. Its value in dollars after t years is given by the exponential function
Note: You don't have to work 1 - 6 to determine the intervals of the function is Increasing, Decreasing or Constant but you have to use 1 - 6 to determine the domain and the range of each of the functions graphed in Exercises 1 - 6. Please show the s..
at a point on the ground 24ft from the base of a tree the distance to the top of the tree is 6 ft more than 2 times the
Multiplication on the 12 hour clock
Ticket sales. Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824and twice as many adult tickets as student tickets were sold, then how many of each were sold?
Finitely generated torsion sub module.
The GNP of Switzerland was 2.49 × 1011 US dollars in 1992. During the same time the GNP of Romania was 2.49 × 1010 US dollars. By how much did the GNP of Switzerland exceed that of Romania? Write the answer in Scientific notation.
Estimate the vertex and axis of symmetry
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