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3 years ago

A land is in the shape of a semicircle with radius 10m.How much wire is needed to fence the plot

Mathematics

1 answer:

Tamiku [17]3 years ago

7 0

Answer:

31.42m for a single layer

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It's multiplication i know but it's a tricky one so help my soul

pav-90 [236]

Answer: -8x^3y^2 (choice B)

The coefficients multiply to 4 times -2 = -8

the x terms multiply to x^2 times x = x^(2+1) = x^3

The y terms multiply to y times y = y^(1+1) = y^2

So that's how I ended up with -8x^3y^2

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Answer:

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2 years ago

Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

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3 years ago

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Each just has different amounts of 0s

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3 years ago

Read 2 more answers