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2 years ago

Question is the attachment

Mathematics

1 answer:

astraxan [27]2 years ago

5 0

If both pipes are opened. Then the number of hours to fill up the tank fully is 100 hours.

The complete question is attached below.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Let t be the filling time.

Then we have

Time is inversely proportional to rate of filling tank.

1/20 – 1/25 = 1/t

0.05 - 0.04 = 1/t

0.01 = 1/t

t = 1/0.01

t = 100 hours

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

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Answer:

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Step-by-step explanation:

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3 years ago

Use the definition of a Taylor series to find the first three non zero terms of the Taylor series for the given function centere

Ket [755]

Answer:

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Step-by-step explanation:

Taylor series expansions of f(x) at the point x = a

$\text{f}(x)=\text{f}(a)+\text{f}\:'(a)(x-a)+\dfrac{\text{f}\:''(a)}{2!}(x-a)^2+\dfrac{\text{f}\:'''(a)}{3!}(x-a)^3+...+\dfrac{\text{f}\:^{(r)}(a)}{r!}(x-a)^r+...$

This expansion is valid only if $\text{f}\:^{(n)}(a)$ exists and is finite for all $n \in \mathbb{N}$ , and for values of x for which the infinite series converges.

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$\boxed{\begin{minipage}{5.5 cm}\underline{Differentiating $e^{f(x)}$}\\\\If $y=e^{f(x)}$, then $\dfrac{\text{d}y}{\text{d}x}=f\:'(x)e^{f(x)}$\\\end{minipage}}$