puntgewelb5
2021-11-11
Answered

Find two positive real numbers whose product is a maximum. The sum is 110.

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Witionsion

Answered 2021-11-12
Author has **19** answers

Let x and y be the two positive real numbers. Write an equation to show that the sum of the two positive real numbers is 110.

Solve for the value of y.

Write an equation to show that the product of the two real numbers is the maximum. Let f(x) be the maximum. Substitute the values of x and y. Write as a quadratic function,

Substitute the value of x in

The two positive real numbers are 55 and 55

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Find a least squares solution of Ax=b by constructing and solving the normal equations.

$A=\left[\begin{array}{cc}3& 1\\ 1& 1\\ 1& 4\end{array}\right],b\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]$

$\stackrel{\u2015}{x}=$ ?

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Determine whether the two equations are equivalent.

$x=\sqrt{64},x=8$

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Use the discriminant to determine the number of real solutions of the equation.

${x}^{2}-6x+1=0$