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mariarad [96]
2 years ago
13

Is it true that: If f"(c) > 0, then the slope of

Mathematics
1 answer:
zheka24 [161]2 years ago
3 0

Answer:

yes

Step-by-step explanation:

the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.

the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).

so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.

but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.

there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).

but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.

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Zina [86]

Answer:A

Step-by-step explanation: your answer is A

5 0
3 years ago
Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6
Black_prince [1.1K]

Answer:

The correct option is (d)-He wrote commutative instead of associative in Step 2.

Step-by-step explanation:

Commutative property: a+b=b+a

Associative property: (a+b)+c=a+(b+c)

Now consider the provided expression.

(6.2 − 1.6) − 4.4 + 7.8

Step 1

(6.2 − 1.6) − 4.4 + 7.8

Step 2 Use Associative property

6.2 + (−1.6 − 4.4) + 7.8

Step 3: Simplify

6.2 − 6 + 7.8

Step 4: Use commutative property

14 − 6

Step 5: Simplify

14 − 6 = 8

Hence, the wrong step is step 2. He wrote commutative instead of associative in Step 2.

Therefore, the correct option is (d)-He wrote commutative instead of associative in Step 2.

8 0
3 years ago
Assume that there are 2 trials.
vampirchik [111]
Answer: The p(success) = 0.6

Your question is a little unclear, but I believe you are asking about the probability that at least one of the trials in the experiment were successful.

If that is the case, you simply have to add the probability of 1 success with the probability of 2 successes.

That is 0.48 +  0.16 = 0.64

Rounding our answer to one decimal place gives us 0.6.
7 0
3 years ago
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Tatiana [17]

Answer:

C.

Step-by-step explanation:

8 0
2 years ago
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A chef uses 4 3/4 cups of broth for 10 servings of soup. How much broth used in each serving of soup? Let x represent the number
kozerog [31]
Answer: 0.475 cups of broth per serving.

Explanation:


1) Ratio given:

 i) To facilitate the operations, transform the mixed number 4 3/4 cups into improper fraction:

4 + 3/4 = [16 + 3] / 4 = 19 / 4

ii) ratio broth: servings

\frac{ \frac{19}{4}cups }{10servings}

2) Proportion with the unknown number of cups of broth per serving:

\frac{ \frac{19}{4}cups }{10servings}= \frac{x}{1serving}

3) Solve for the unknown:

x = [19 / 4] cups × 1 serving / 10 servings = 19 / 40 cups = 0.475 cups
3 0
3 years ago
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