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2 years ago

Use a right-hand sum with 4

Mathematics

1 answer:

PolarNik [594]2 years ago

3 0

Answer:

17 / 4

Step-by-step explanation:

To find the right sum, you need to....

Step #1: Find Δx

Step #2: Find $x_k$

Step #3 Make the right-hand sum equation: ∑ $^n_{k=1}f(x_k)$ Δx

Step #4: Solve the right-hand sum equation

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Answer:

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3 years ago

The ratio of 3 to 4 can be written in all the following ways except _______. 4/3 3/4 3:4 three-fourths

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3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

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$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

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3 years ago