Ask question

Ask question

All categories

2 years ago

8

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 5x + 12), [−3, 1]

1 answer:

Bezzdna [24]2 years ago

8 0

A graphing calculator shows the minimum to be located at the vertex of the quadratic, x = -2.5, and the maximum to be located at the right end of the interval.

The absolute maximum value of f(x) is ln(18) ≈ 2.89037.
The absolute minimum value of f(x) is ln(5.75) ≈ 1.74920.

You might be interested in

Simplify the expression by using a double-angle formula or a half-angle formula. (a) 2 tan(5°) 1 − tan2(5°)

antoniya [11.8K]

The question is related to trigonometry and we have to use the formula of double angle .

Here we use double angle formula of tangent function which is

$tan(2x) = \frac{2tan(x)}{1-tan^2(x)}$

Given expression is

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}$

Comparing it with double angle formula, we will get x = 5

SO the required expression is equal to

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(2*5 )$

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(10 )$

So the answer is tan(10) .

6 0

2 years ago

A certain species of animal is endangered and it’s numbers are decreasing 12% annually. There are currently 230 animals in the p

Iteru [2.4K]

B:f(x)=230(0.88);121 animals

6 0

2 years ago

Solve for x:<br> .<br> 3x – 1 = –2x + 39

zysi [14]

<em>x = 8</em>

Step-by-step explanation:

$3x-1=-2x+39$

Add 1 to both sides.

$3x=-2x+40$

Add 2x to both sides.

$5x=40$

Divide 40 by 5.

x = 8

5 0

2 years ago

At an automobile dealership, 2 out of every 12 cars sold are red. Which is the best prediction of the number of red cars sold wh

Julli [10]

Answer:

25

Step-by-step explanation:

2 out of 12 means also 1 out of 6.

so, a ratio of 1:6 or a factor of 1/6.

150 × 1/6 = 150 / 6 = 25

so, we expect that out of the 150 sold cars 25 have been red.

3 0

2 years ago

How do you graph y=0.2x+4

KatRina [158]

root (-20,0) vertical intercept (0,4)

7 0

2 years ago