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White raven [17]
3 years ago
7

Hello! Mind Helping Me?

Mathematics
2 answers:
scoundrel [369]3 years ago
6 0
The answer would be 2 Pounds
umka21 [38]3 years ago
3 0

Answer:

2 pounds

if you add .5 4 times with each other, you get 2

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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
357288737773*34616 please help me
Oliga [24]

Answer:

12367906946750168

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1. Heather has a very important exam to take in the morning. Since she wants to be sure that she will wake up in time, she sets
Klio2033 [76]
The correct answer for the question that is being presented above is this one: "C. 0.9604." T<span>he probability that at least one of the alarm clocks will wake her up is </span>0.9604. Heather has a very important exam to take in the morning. <span>Since she wants to be sure that she will wake up in time, she sets two alarm clocks. </span>
5 0
3 years ago
What is the standard equation of a line whose x- and y-intercept are 5 and 3, respectively?
MakcuM [25]

Answer: 3x + 5y = 15

Step-by-step explanation:

7 0
2 years ago
PLEASE TELL ME HOW TO PASS A EXAM WHILE YOUR CAMERA IS ON AND YOU ARE FAR FROM THE DEVICE AND YOU DON'T KNOW ANYTHING.
Fantom [35]

Answer:

Step-by-step explanation:

lol put ur books or notes or whatever behind the device and cheat

BUT I really don’t advice u to cheat just try preparing for the exam or do as much as u can and don’t waste ur time at least u would know something while solving the exam.

7 0
3 years ago
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