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2 years ago

Does anyone know this ? kinda confused because I have learned this yet I think

Mathematics

1 answer:

andrew11 [14]2 years ago

8 0

Answer:

a. 0

b. 0 (undefined)

c. 14

d. 0 (undefined)

Step-by-step explanation:

a. Make x on its own

x = 5 - 5

x = 0

b. Collect like terms (terms that have same variable)

2x - 6 = 2x - 6

Rearrange equation

2x - 2x = -6 + 6

0x = 0

x = 0 (undefined) -- This is because when you divide something by 0 (when 0 is the denominator), it is undefined

c. Rearrange to make whole numbers on one side

3x = 43 - 1

3x = 42

Divide both sides by 3 to make x on its own

x = 14

d. 4x - 4x = 7 + 1

0x = 8

x = 0 (undefined)

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For what positive values of k does the function y=sin(kt) satisfy the differential equation y''+144y=0 ?

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Answer:

The positive value of k that the function y = sin(kt) satisfies the differential equation y'' + 144y = 0 is +12

Step-by-step explanation:

To determine the positive values of k that the function y = sin(kt) satisfy the differential equation y''+144y=0.

First, we will determine y''.

From y = sin(kt)

y' = $\frac{d}{dt}(y)$

y' = $\frac{d}{dt}(sin(kt))\\$

y' = kcos(kt)

Now for y''

y'' = $\frac{d}{dt}(y')$

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$(144 - k^{2})(sin(kt)) = 0$

$(144 - k^{2})= 0$

∴ $k^{2} = 144\\$

$k =$ ± $\sqrt{144}\\$

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