All categories

4 years ago

Which of these could be the graph of F(x) = ln x + 2?

Mathematics

2 answers:

vodomira [7]4 years ago

7 0

Could you past the graphs. I would like to help:)

hodyreva [135]4 years ago

4 0

Answer:

The shape of that graph is a concave and strictly increasing curve, as shown in the attached graph.

Step-by-step explanation:

The natural logarithm, ln (x), is the inverse of the exponential function and defined in x only for positive real numbers, in addition, it is an irrational number.

From the analytical point of view, it can be defined that for any positive real number x> 0 as the area under the curve y = 1 / t between 1 and x. The natural logarithm is a function with domain of definition of positive real numbers.

Some of the properties of the natural logarithm are: it is a bijective, concave, strictly growing and continuous function

Download pdf

You might be interested in

tom always keeps his garden clean. he takes 20 minutes to clean a single garden. how much time will it take to clean all four ga

neonofarm [45]

80 minutes to clean all four gardens

8 0

3 years ago

Read 2 more answers

(4.27 * 10^8)*(9.2 * 10^-5)

antoniya [11.8K]

39284

this is the answer

5 0

3 years ago

What is the equation in point-slope form that represents the line going through (1,3) and (4,6)

Darya [45]

We have the slope m = (6-3)/(4-1) = 3/3 = 1;
Then, y - 3 = 1·( x - 1);
finally, y = x + 2.

3 0

4 years ago

The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of

Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

$AV = \frac{y(t2) - y(t1)}{t2 - t1}$

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

$AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6$

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii) t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

$AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8$

So the average speed is -128.9 ft/s

iii) t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

$AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16$

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0

3 years ago

Will give Brainly please help

s2008m [1.1K]

Answer:

B. 95º

Step-by-step explanation:

Supplementary angles are ones that add up to 180º.

So if angle 1 is 85º, then the equation would be:

(x-the measure of angle 2)

X + 85 = 180

Solve for x:

X + (85-85) = 180-85

X = 95.

Hope this helps! Have a great day!

3 0

3 years ago

Read 2 more answers