Which choice is the correct graph of Ix <3?

Mathematics

1 answer:

yuradex [85]2 years ago

3 0

Answer:

2347 elevated in the cube

Step-by-step explanation:

nashe

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F(x) = lnx/x

My name is Ann [436]

$f(x) = \frac{lnx}{x}$

(a) $f'(x) = \frac{d}{dx}[\frac{lnx}{x}]$
Using the quotient rule:
$f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}$
$f'(x) = \frac{1 - lnx}{x^{2}}$

For maximum, f'(x) = 0;
$\frac{1 - lnx}{x} = 0$
$lnx = 1, x = e$

(b) Deduce:
 $e^{x} \geq x^{e}, x > 0$

Soln: Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
$\frac{ln(e)}{e} \geq \frac{lnx}{x}$
$\frac{1}{e} \geq \frac{lnx}{x}$ , since ln(e) is simply equal to 1

Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
$\frac{x}{e} \geq lnx$
$x \geq elnx$
$x \geq ln(x^{e})$

Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
$e^{x} \geq e^{ln(x^{e}})$
$e^{x} \geq x^{e}$ , as required.

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3 years ago

Convert standard to slope-intercept forms. 1. Standard form: 10x − 7y = −8

garri49 [273]

Answer:

Step-by-step explanation:

-7y = -10x - 8

y = 10/7x + 8/7

8 0

3 years ago

6/15 divided by 1/7

mylen [45]

Question-
6/15 divided by 1/7

Answer-
Find the reciprocal of the divisor
Reciprocal of 1/7: 7/1Now, multiply it with the dividend
So, 6/15 ÷ 1/7 = 6/15 × 7/1= (6 × 7)/(15 × 1) = 42/15After reducing the fraction, the answer is 14/5In mixed form: 2 4/5

6 0

3 years ago

Read 2 more answers

A messenger earns 2640 per year and pays tax at the rate of 10k On a naira how much tax does he pay in the year

Marta_Voda [28]

Answer:

264 naira

Step-by-step explanation:

Given that:

Amount earned per year = 2460

Rate of interest paid : 10k per naira earned

Tax paid by messenger per year :