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Arisa [49]
3 years ago
14

Create a fraction that is equivalent to 3/4 explain the steps you took to create your fraction

Mathematics
1 answer:
serg [7]3 years ago
4 0
6/8. multiply 3/4 by 2 and there is your answer.
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F(x) = x2 − x − ln(x) (a) find the interval on which f is increasing. (enter your answer using interval notation.) find the inte
Mekhanik [1.2K]

Answer:

(a) Decreasing on (0, 1) and increasing on (1, ∞)

(b) Local minimum at (1, 0)

(c) No inflection point; concave up on (0, ∞)

Step-by-step explanation:

ƒ(x) = x² - x – lnx

(a) Intervals in which ƒ(x) is increasing and decreasing.

Step 1. Find the zeros of the first derivative of the function

ƒ'(x) = 2x – 1 - 1/x = 0

           2x² - x  -1 = 0

     ( x - 1) (2x + 1) = 0

         x = 1 or x = -½

We reject the negative root, because the argument of lnx cannot be negative.

There is one zero at (1, 0). This is your critical point.

Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of the critical value to determine if the derivative is positive or negative.

(1) x = ½

ƒ'(½) = 2(½) - 1 - 1/(½) = 1 - 1 - 2 = -1

ƒ'(x) < 0 so the function is decreasing on (0, 1).

(2) x = 2

ƒ'(0) = 2(2) -1 – 1/2 = 4 - 1 – ½  = ⁵/₂

ƒ'(x) > 0 so the function is increasing on (1, ∞).

(b) Local extremum

ƒ(x) is decreasing when x < 1 and increasing when x >1.

Thus, (1, 0) is a local minimum, and ƒ(x) = 0 when x = 1.

(c) Inflection point

(1) Set the second derivative equal to zero

ƒ''(x) = 2 + 2/x² = 0

             x² + 2 = 0

                   x² = -2

There is no inflection point.

(2). Concavity

Apply the second derivative test on either side of the extremum.

\begin{array}{lccc}\text{Test} & x < 1 & x = 1 & x > 1\\\text{Sign of f''} & + & 0 & +\\\text{Concavity} & \text{up} & &\text{up}\\\end{array}

The function is concave up on (0, ∞).

6 0
3 years ago
Pls help this is due today :)
Sedaia [141]

Answer:

Left 7 down 6 Then count two spaces left right up and down and draw a circle

Step-by-step explanation:

Your answer is going to be in the bottom left corner, you count 7 vertical lines to the left, then from there you count 6 horizontal lines down. Since the Radius is 2 the diameter is 4. Good luck, if this wasn't helpful enough you can get a graphing calculator for yourself.

5 0
3 years ago
Read 2 more answers
77%<br> Calculate the area of this triangle.<br> 14 cm<br> 11 cmi<br> 18 cm
RideAnS [48]

Answer:

A = 99 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2}  bh ( b is the base and h the perpendicular height )

Here b = 18 and h = 11 , then

A = \frac{1}{2} × 18 × 11 = 9 × 11 = 99 cm²

4 0
3 years ago
Plz help me with this question plz it's requested plz ​
astraxan [27]

Step-by-step explanation:

Answer above

if you have any doubts ask in comments

3 0
3 years ago
What is the slope of the line that passes through the points (-4,4) and (-6,6)
andrew-mc [135]
The slope of the line is -1

the equation would be y = -1x
4 0
3 years ago
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