Please help with the calculations as I am new with Excel Solver, and I am having problems formulating.

For the LP problems, you will need to solve using the Excel Solver. We have used the Sum Product feature when using Excel. So in cases where you can use that, please do so.

#1 The equation,âˆ‘xi2 is best known as the
a) sum of all the squared values of the variable x in the dataset
b) product of all the values of the variable x in the dataset.
c) square of the sum of all the values of the variable x in the dataset
d) sum of all the values of the variable x in the dataset.
#2 The equation (â

Show that the functions x and x^2 are orthogonal in P5 with inner product defined by (

=sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Show that ||X||1=sum i=1 to n of the absolute value of Xi.
Show that ||x||infinity= max (1<=i<=n) of the absolute value of Xi.
Thank you for your explanation.

Prove or disprove each of the following:
a. The sum of a rational number and an irrational number is an irrational number.
b. The product of two rational numbers is a rational number.
c. The product of two irrational numbers is an irrational number.
d. The product of a rational number and an irrational number is an irra

1. What is the output of this code sequence? (The user successively enters 3, 5, and -1.)
System.out.print( "Enter an int > " );
int i = scan.nextInt( );
while ( i !=-1 )
{
System.out.println( "Hello" );
System.out.print( " Enter an int > " );
i = scan.nextint ( );
}
2. what are the values of i and product af

Please see the attached file for the fully formatted problems.
Prove that:
p1+p2+...+pn is equivalent to the sum (logical OR) of the pi's in any order.
and
p1p2 ... pn is equivalent to the product (logical AND) of the pi's in any order.

1 When we square a product, we square each factor in the product. For example (4b)2= 16b2. Explain why we cannot square a sum by simply squaring each term of the sum. For example, (a + b)2 is not equal to a2 + b2. Provide appropriate examples.
2 Take a number. Add 1. Square the result. Then subtract from that result

How do I write a method that calculates the sum of the integers between 1 and n? I thought of using n + sum (n-1), but I need to use the recursive definition that the sum of 1 to n is the sum of 1 to n/2 plus the sum of (n/2+1) to n. Assume that n is a positive integer.

During the census, a man told the census-taker that he had three children. When asked their ages he replied, " The product of their ages is 72. The sum of their ages is my house number." The census taker turned around and ran outside to look at the house number displayed over the door. He then re-entered the house and said, "

Suppose {a_n} (n=1 to N) and {b_n} (n=1 to N) are two finite sequences of complex numbers. Let B_k = sum b_n (sum n=1 to k) denote the partial sum of the series sum (b_n) with the convention B_0=0.
a. prove the summation by parts by formula
sum (a_n b_n) (sum goes from n=M to N) = a_N B_N -a_M B_{M-1}- sum( [a_{n+1}-a_n}]B

N interfering waves of the same amplitude E_0 have relative phase-shift Î± with respect to one another (that is, the first wave is E_0, the second wave E_0 e^(iÎ±), and so on, up to E_0 e^i(N-1)Î±). Find the amplitude and phase of the resulting disturbance.