Which type of estimation would best fit the following problem: 156 +84 + 197 + 61 (3 pts) *

Mademuasel [1]

Hope this will help u..✌

3 0

4 years ago

Read 2 more answers

-Let f(x)=15−9x^2+3x^3

Alisiya [41]

Answer:

The intervals on which f is increasing are (- ∞, 0) ∪ (2, ∞)

and the interval on which f is decreasing is (0, 2)

P(0, 15) is local maximum

P(2, 3) is a local minimum

The intervals on which f is increasing are (- ∞, 0) ∪ (2, ∞)

and the interval on which f is decreasing is (0, 2)

P(1, 9) is the inflection point

Step-by-step explanation:

Let

f(x) = 15−9x²+3x³

then we can apply

f'(x) = 0 ⇒ (15 − 9x² + 3x³)' = -18x + 9x² = 0

⇒ 9x*(x - 2) = 0

⇒ x₁ = 0 ∧ x₂ = 2

When - ∞ < x < 0

Example: x = -1

f'(-1) = -18*(-1) + 9*(-1)² = 18 + 9 = 27 > 0

⇒ f'(x) > 0

When 0 < x < 2

Example: x = 1

f'(1) = -18*(1) + 9*(1)² = -18 + 9 = -9 < 0

⇒ f'(x) < 0

When 2 < x < ∞

Example: x = 3

f'(3) = -18*(3) + 9*(3)² = -54 + 81 = 27 > 0

⇒ f'(x) > 0

The intervals on which f is increasing are (- ∞, 0) ∪ (2, ∞)

and the interval on which f is decreasing is (0, 2)

We can find f(x₁) and f(x₂) as follows

f(x₁) = f(0) = 15−9(0)²+3(0)³ = 15

f(x₂) = f(2) = 15−9(2)²+3(2)³ = 15 - 36 + 24 = 3

P(0, 15) is local maximum

P(2, 3) is a local minimum

Now, we can apply

f"(x) = 0 ⇒ (-18x + 9x²)' = -18 + 18x = 0

⇒ 18*(x- 1) = 0

⇒ x = 1

When - ∞ < x < 1

Example: x = 0

f"(0) = 18*(0- 1) = -18 < 0

⇒ f"(x) < 0

When 1 < x < ∞

Example: x = 2

f"(0) = 18*(2- 1) = 18 > 0

⇒ f"(x) > 0

then

the interval on which f is concave up is (1, ∞) and

the interval on which f is concave down is (- ∞, 1)

We can find f(1) as follows

f(1) = 15−9(1)²+3(1)³ = 9

P(1, 9) is the inflection point

4 0

3 years ago

An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. Dominic noticed that the sh

Nimfa-mama [501]

Answer:

Step-by-step explanation:

4.5b + 8.5c = 175

b + c = 22.......b = 22 - c

4.5(22 - c) + 8.5c = 175

99 - 4.5c + 8.5c = 175

-4.5c + 8.5c = 175 - 99

4c = 76

c = 76/4

c = 19......there are 19 cats

b + c = 22

b + 19 = 22

b = 22 - 19

b = 3 <==== there are 3 birds

3 0

4 years ago

What is 17/20, 19/20, 0.19, 0.24 from greatest to least

yaroslaw [1]

19/20, 17/20, .24, .19.

Hope that helps.

8 0

3 years ago

Which of the functions graphed below has a removable discontinuity? A B C D

PtichkaEL [24]

<h2>Answer with explanation:</h2>

We know that a removable discontinuity occurs when:

The left and the right hand limit of the function exist at a point and are equal but is unequal to the function's value at that point.

Also it is a point on the graph such that it is undefined at that point.

The graph that has a removable discontinuity is attached to the answer.

Since, at x=0 the left hand and the right hand limit of the function exist but the function is not defined at x=0 , since in the graph there is a open circle at x=0 that means that the point is removed from the range.

5 0

3 years ago

Read 2 more answers

Which type of estimation would best fit the following problem: 156 +84 + 197 + 61 (3 pts) *​

Which type of estimation would best fit the following problem: 156 +84 + 197 + 61 (3 pts) *