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denpristay [2]
3 years ago
13

Writing g for the acceleration due to gravity, the period,T, of a pendulum of length l is given by

Mathematics
2 answers:
ivanzaharov [21]3 years ago
7 0

Step-by-step explanation:

T=2\pi\sqrt{\frac{l}{g}}

T+\Delta T=2\pi\sqrt{\frac{(l+\Delta l)}{g}} =2\pi\sqrt{\frac{l}{g}}\sqrt{1+\frac{\Delta l}{l}}=2\pi\sqrt{\frac{l}{g}}(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))=T(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))

Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.

So, \Delta T=T\frac{1}{2}\frac{\Delta l}{l}

b. For an increase of 2%, that is:

\frac{\Delta l}{l}=0.02

\frac{\Delta T}{T}=\frac{1}{2}0.02=0.01=1\%

mel-nik [20]3 years ago
4 0

Answer:

Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.

-God Bless

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julsineya [31]

Answer: {\boxed{h(x+4)=\frac{9+3x}{8+x}}}

Concept:

In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.

Solve:

<u>Given information</u>

h(x)=\frac{-3+3x}{4+x}

<u>Need to find</u>

h(x+4)

<u>Substitute (x + 4) to the position of x</u>

h(x+4)=\frac{-3+3(x+4)}{4+(x+4)}

<u>Distributive property on the numerator</u>

h(x+4)=\frac{-3+3x+12}{4+(x+4)}

<u>Combine like terms</u>

h(x+4)=\frac{-3+12+3x}{4+4+x}

\boxed{h(x+4)=\frac{9+3x}{8+x}}

Hope this helps!! :)

Please let me know if you have any questions

5 0
2 years ago
I need help please! I will mark brainliest if you are correct
tatiyna

Answer:  its AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

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Encuentra el área total de la superficie del prisma cuadrangular??​
Alex787 [66]

Superficie total de un prisma

La fórmula general para el área de superficie total de un prisma recto es T. S. A. = ph + 2B donde p representa el perímetro de la base, h la altura del prisma y B el área de la base.

¡Espero que esto ayude!

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Can any one solve this math 7A equation
DiKsa [7]

Answer:

12). Length in the actual will be 6.25x12=75 in

13). Length in the model will be 15/12=1.25 ft

14). depth in the actual will be 32x12=384 cm

15). Width in the actual will be 5.4x12=64.8 ft

16). Diameter in the model will be 21/12=1.75 cm

Step-by-step explanation:

Given table show relation between model and actual prototype.

It is given that the actual prototype is scaled by 12 of the model.

I.e. Model x 12 = Actual.

12).

For mattress,

Length in the model is 6.25 in.

Length in the actual will be 6.25x12=75 in

13).

For corvette,

Length in the actual is 15 ft

Length in the model will be 15/12=1.25 ft

14).

For Water tower,

depth in the model is 32 cm in.

depth in the actual will be 32x12=384 cm

15).

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Width in the actual will be 5.4x12=64.8 ft

16).

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Diameter in the model will be 21/12=1.75 cm

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2 years ago
Recorremos un camino de 1km a una velocidad de 6 km/h. ¿Cuanto tardamos en llegar al destino?​
Ksenya-84 [330]

Answer:

10 minutos

Step-by-step explanation:

La operación a efectuar es:

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1/6 hora = 60*1/6 = 10 minutos

Tardaremos:

10 minutos

en llegar al destino

5 0
3 years ago
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