(x+5y)^21 expand using Pascal's triangle

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milcah answered 2 years ago

Answer the following using Binomial theorem and Pascal's Triangle: a. Find the middle term in the...

Answer the following using Binomial theorem and Pascal's Triangle: a. Find the middle term in the expansion of (4x – x3)14 b. Use Pascal’s triangle to expand (3x + 2y)6.

Rewrite your program for finding Pascal's Triangle to use iteration (loops) instead of recursion. Include in...

Rewrite your program for finding Pascal's Triangle to use iteration (loops) instead of recursion. Include in both algorithms code to keep track of the total time used to run the algorithms in milliseconds. Run these algorithms for n = 10, n = 20, and n = 30. Print out both the original output and the time to run for both algorithms. Please make sure you comment your code thoroughly. The code should be nicely formatted and should use proper variables.

Expand in Fourier series: Expand in fourier sine and fourier cosine series of: f(x) = x(L-x),...

Expand in Fourier series: Expand in fourier sine and fourier cosine series of: f(x) = x(L-x), 0<x<L Expand in fourier cosine series: f(x) = sinx, 0<x<pi Expand in fourier series f(x) = 2pi*x-x^2, 0<x<2pi, assuming that f is periodic of period 2pi, that is, f(x+2pi)=f(x)

Solve the system of equations x?2y?z?2t=1 3x?5y?2z?3t=2 2x?5y?2z?5t=3 ?x+4y+4z+11t= ?1 Using Gauss-Jordan to Solve a System

find the general solution of y'''-4y''+5y'=e^x

Prove for the system of ordinary differential equations x'=-x, and y'=-5y the origin is lyapunov stable,...

Prove for the system of ordinary differential equations x'=-x, and y'=-5y the origin is lyapunov stable, attracting and asymptotically stable using the EPSILON DELTA definition of each. The epsilon and delta that make the definitions hold must be found.

Let x and y be integers such that 17 | (3x +5y). Prove that 17 |...

Let x and y be integers such that 17 | (3x +5y). Prove that 17 | (8x + 19y).

Solve the set of equations: 3x - 5y = - 1, x - y = - 1?

21) What is the benefit of having subordinates evaluate supervisors? A) increasing the opportunity to expand...

21) What is the benefit of having subordinates evaluate supervisors? A) increasing the opportunity to expand a department B) decreasing the reliance on traditional performance appraisals C) increasing a supervisor's awareness of the work group's needs D) decreasing a supervisor's authority over subordinates in a work group 22) In the current business climate, firms may want to consider evaluating performance more often because ________. A) the law requires that companies conduct performance appraisals often B) changes in the business climate...

f(x,y) = 2/7(2x + 5y) for 0 < x < 1, 0 < y < 1...

f(x,y) = 2/7(2x + 5y) for 0 < x < 1, 0 < y < 1 given X is the number of students who get an A on test 1 given Y is the number of students who get an A on test 2 find the probability that more then 90% students got an A test 2 given that 85 % got an A on test 1

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