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2 years ago

Original Price $60 Percent of Discount Sale Price $45

Mathematics

1 answer:

Brums [2.3K]2 years ago

8 0

Answer:

Step-by-step explanation:

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Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

Step(i):-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

Step(iii):-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

Final answer:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

2 years ago

What is 7 times 7 + 7 ?

Basile [38]

The answer would be 98

7+7=14
14•7=98

5 0

2 years ago

Read 2 more answers

(4x + 3) + (-2x + 4)

WITCHER [35]

Answer:

Step-by-step explanation:

(4x + 3) + (-2x + 4)

= 4x + 3 - 2x + 4 combine like terms

= (4x - 2x) + (3 + 4)

= 2x + 7

4 0

2 years ago

Read 2 more answers

160% of what number is 19.2

riadik2000 [5.3K]

Answer:

The number is 12

Step-by-step explanation:

Let x be the number

160/100 = 1.6

1.6 x = 19.2

x = 19.2 / 1.6

x = 12

7 0

2 years ago

How to write Equation of a line that is perpendicular to the line y=3x-5 and passes through the point (5,10)

Nitella [24]

Y=3x-5 and passes through the point 5,10 should be 56

5 0

2 years ago