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Mashcka [7]
3 years ago
6

Select the statement that correctly describes the relationship between these two sequences: 1, 2, 3, 4, 5 and 10, 20, 30, 40, 50

.
a

Each term in the second sequence is 10 times the corresponding term in the first sequence.

b

Each term in the second sequence is double the corresponding term in the first sequence.

c

Each term in the second sequence is 20 times the corresponding term in the first sequence.

d

Each term in the first sequence is double the corresponding term in the second sequence.
Mathematics
2 answers:
grandymaker [24]3 years ago
4 0

Answer:

a

Step-by-step explanation:

Bumek [7]3 years ago
3 0
The answer would be A
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Answer:

  a) d(sinh(f(x)))/dx = cosh(f(x))·df(x)/dx

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Step-by-step explanation:

To do these, you need to be familiar with the derivatives of hyperbolic functions and with the chain rule.

The chain rule tells you that ...

  (f(g(x)))' = f'(g(x))g'(x) . . . . where the prime indicates the derivative

The attached table tells you the derivatives of the hyperbolic trig functions, so you can answer the first three easily.

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For u = f(x), this becomes ...

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b) After the same pattern as in (a), ...

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c) Similarly, ...

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d) For this one, we need the derivative of sech(x) = 1/cosh(x). The power rule applies, so we have ...

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<em>Additional comment on notation</em>

Some places we have used fun(x)' and others we have used fun'(x). These are essentially interchangeable when the argument is x. When the argument is some function of x, we mean fun(u)' to be the derivative of the function after it has been evaluated with u as an argument. We mean fun'(u) to be the derivative of the function, which is then evaluated with u as an argument. This distinction makes it possible to write the chain rule as ...

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