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Question: Give an example of a three-digit number and the number formed by transposing two adjacent digits. Show that the difference is divisible by 9.
2. Give an example of a four-digit number and a number formed by transposing any two adjacent digits. Show that the difference is divisible by 9.
Let y= n=0Σ∞ cn (r) xn+r. Determine the recursive relation for cn(r), i.e., relation between cn+1(r) and cn(r). Take c0(r) = 1. Find two linearly independent solutions y1 and y2 which are valid for x>0 near x0 =0.
Use Gram-Schmidt algorithm to the sequence {x_1,x_2, x_3} to find an orthonormal basis of S. Use the result above to find the QR factorization of the matrix A=(x_1l x_2l x_3).
Show that ~ is an equivalence on M and if a* deontes the equivalence class of a, let M* = {a*| a belongs to M} denote the set of all equivalence classes. Show that a*b* = (ab)* is a well-defined operation on M* deontes.
What is the quadratic formula? What is D in that formula? How can D in that formula let you know the type of answer you will get when you solve the equation? What are the types of possible answers?
In a company there are 240 employees where 12 of them are females with black hair, 50 of them are females with blond hair and the remaining are females.
1: Prove or disprove: The sum of 2 irrational numbers can be rational. 2: Prove or disprove: For n >= 5, 4n
collect data using your sample design and appropriate collection methods to maintain data validity.bull prepare a 2- to
Consider a function f(x, y) = xy (1- x - y). Find the critical point of the function. Use the srcond derivative to classify the critical point.
1. Let v be a vector from initial point P1=(-11,-12) to terminal point P2 =(2,5). Write v in terms of i and j. 2. Let u=8i - 6j and v= -5i + 8j. find the vector u - v.
Find the margin of error and the 95% confidence interval for the survey. Give your answers as percentages rounded to the nearest tenth of a percent. What is the margin of error? The 95% confidence interval is from ____ to ____ percent?
Evaluate the integrals - In = 0∫π sin(nx)/sin(x) dx and Jn = 0∫π(sin(nx)/sin(x))2 dx, for n = 1, 2, 3 . . . .
The deep end of a swimming pool is vertical and has the shape of an isosceles trapezoid across the top, across the bottom, and deep. Find the force against the end.
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