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Mandarinka [93]
3 years ago
5

Differentiate the following functions with respect to x x³ + 5x² - 2​

Physics
2 answers:
3241004551 [841]3 years ago
5 0

Answer:

The answer is 3x² + 10x

Explanation:

d/dx (x³ + 5x² - 2)

= d/dx (x³) + 5 d/dx (x²) - d/dx (2)

= 3x² + 5(2x) - 0

= 3x² + 10x

Thus, The answer is 3x² + 10x

<u>-TheUnknownScientist</u>

lions [1.4K]3 years ago
5 0

Answer:

3x² + 10 x

Explanation:

hope it's helpful

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A simple pendulum takes 128s to complete 40 oscillations what is the time period of the pendulum
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3 years ago
(a) Suppose a meter stick made of steel and one made of invar are the same length at 0°C. What is their difference in length at
dem82 [27]

Explanation:

Given that,

Initial temperature T_{i}=0^{\circ}C

Final temperature T_{f}=48.0^{\circ}C

Length = 34.0 m

We know that,

Coefficient of linear expansion of Invar is

\alpha=0.9\times10^{-6}/^{\circ}C

Coefficient of linear expansion of steel is

\alpha=12\times10^{-6}/^{\circ}C

We need to calculate the temperature difference is

\Delta T=T_{f}-T_{i}

\Delta T=48.0-0

\Delta T=48.0^{\circ}C

We need to calculate the change in length of Invar

Using formula of change in length

\Delta l=l\times\alpha\times\Delta t

Put the value into the formula

\Delta l=34\times0.9\times10^{-6}\times48.0

\Delta l=0.0014688=1.47\times10^{-3}\ m

\Delta l= 1.47\ mm

We need to calculate the change in length of steel

\Delta l'=34\times12\times10^{-6}\times48.0

\Delta l'=0.019584=19.59\times10^{-3}\ m

\Delta l'=19.59\ mm

Difference in length of two 34.0 m

Long surveyor's tapes is

\Delta L=\Delta l'-\Delta l

Put the value into the formula

\Delta L=19.59-1.47=18.12\ mm

The difference in length is 18.12 mm.

Hence, This is the required solution.

6 0
3 years ago
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