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Free_Kalibri [48]
3 years ago
15

What is the single half digit number of 11

Mathematics
1 answer:
TEA [102]3 years ago
5 0
There is no whole number that is half of 11 but the half number is 5.5
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consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where
boyakko [2]

Answer:

a)X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

b)Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

Step-by-step explanation:

From the question we are told that

The Function

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

Generally the differentiation of function f(x) is mathematically solved as

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

f(x)=\frac{x^3+x^2+5x+1}{x^2}

Therefore

f'(x)=\frac{x^2+10x+3}{x^4}

Generally critical point is given as

f'(x)=0

\frac{x^2+10x+3}{x^4}=0

x=-5 \pm\sqrt{22}

Generally the maximum and minimum x value for critical point is mathematically solved as

f'(-5 \pm\sqrt{22})

Where

Maximum value of x

f'(-5 +\sqrt{22})

Minimum value of x

f'(-5 +\sqrt{22})

Therefore interval of increase is mathematically given by

f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})

f(x)

Therefore interval of decrease is mathematically given by

(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)

Generally the second differentiation of function f(x) is mathematically solved as

f''(x)=\frac{2(x^2+15x+6)}{x^5}

Generally the point of inflection is mathematically solved as

f''(x)=0

x^2+15x+6=0

Therefore inflection points is given as

x=\frac{1}{2} (-15 \pm \sqrt{201}

f''(x)>0,\frac{1}{2}(-15-\sqrt{201})

a)Generally the concave upward interval X is mathematically given as

X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

f''(x)

b)Generally the concave downward interval Y is mathematically given as

Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

5 0
2 years ago
Combine like terms.<br> 9y2 + 9(7y2-5) =<br> I need this for now please
nataly862011 [7]

Answer:

72y2-45

Step-by-step explanation:

9y2 + 9(7y2 - 5)

you multiply the 9 by the stuff in the parentheses

9y2 + 63y2 - 45

72y2-45

7 0
3 years ago
Please help meeeeeeee<br> pt 4
liraira [26]

Answer:

The answer is

2 {x}^{2}  + 3x - 1 = 0

Why? Below I explain

Step-by-step explanation:

That formula has three variables a, b and c.

So, a = 2, b = 3 and c = -1

Because the formula is written like

\frac{ - b +  -  \sqrt{ {b}^{2}  - 4 \times a \times c} }{2 \times a}

5 0
3 years ago
An elevator at a hotel is descending as shown in the graph below.
Step2247 [10]

Answer:

y=15/2x+40

Step-by-step explanation:

The slope is 15/2, and the y-intercept is 40.

6 0
3 years ago
plz explain why!<br> Will be marked BRAINLIEST
wlad13 [49]

ANSWER

Eva is correct because 13/2 + 3/2 = 8

There is no mistake. Dakota may have thought that there was a mistake because Eva simplified when she got the answer for 4x which is correct but Dakota may have thought that it was incorrect.

6 0
3 years ago
Read 2 more answers
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