How many terms are there in the expansion of (2x + 3y + 5z)^50?
3x+ y- P2 2x+3y + 5z =P3 4.36 Use Cramer's rule to solve the following system for z in terms of pı, p2, and p3. (Note that we have not asked for x or y.)
help with solving questions 2 and 3
Solve 2x + 3y + 5z = 2 3x - 2y + z = 1 4x + 5y - 2z = 3 Solve 5x^2 + 3x + 4 = 0
(9 pts) 2. Solve using the modified Gauss-Jordan method, as presented in class 2x+3y + 5z = 2. 4x + y - 2=4 2x + y
PLEASE DO BOTH
(9) (5 pts) How many solutions are there to the inequality 11 +*2+I3 <11, where 21, 22, and 13 are non-negative integers? Hint: Introduce an auxiliary variable In such that 21+12+13+14 = 11. (10) (5 pts) How many terms are there in the expansion of (2x + 3y + 5z)50?
Use the Gauss-Jordan method to solve the following system of equations. 5x+4y-3z+0 2x-y+5z=1 7x+3y+2z=1 Multiple Choice A.The solution is B.There is an infinite number of solutions. The solution is C. There is no solution.
What are the first five terms of the binomial expansion below:
13. Write out the first five terms of the binomial expansion below. (2x – 3y) 19
Please
complete #3.
2. Let f(x,y,z 3x2 + 4y2 +5z2- xy - xz - 2zy +2x -3y +5z. Apply 20 steps of Euler's method with a step size of h 0.1 to the system x'(t) y(t)Vf(x(t), y(t), z(t)) z'(t) (x(0), y(0), z(0)) = (-0.505-08) to approximate a point where the minimum of f occurs. Give the value of x (2) (which is the x coordinate of the approximate point where the minimum occurs). Note: This process is called the modified...
(5 points) 2. Find the line integral of f (x, y, z) = 2x – 3y + 5z along the straight line segment from (1,0, 2) to (3, 2, -1).
Consider the following system of linear equations: 2 2x + + 3y - 22 7y - 3z ky + 5z = = = 2 6 5 Find the value of k so that the system has no solutions. Your value of k should be an integer. Answer: Check
[i 1 -2] (a) Find det 2 3 5 by expansion along the 2nd row. (1 -1 3 (b) Use Cramer's rule to find the value of x in the solution to the system of linear equations shown below. (You may want to use your answer in part (a)). +y-2x = 0 2x + 3y + 5z = 3 2-y+32 = 0