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Radda [10]
2 years ago
10

If f(x) = {ln x for 0 < x less than or equal to 2

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
7 0
Lim f (x)                = lim  <span>ln x =  ln2
</span> x approaches 2      x approaches 2<span>
 for x<=2                    </span>for x<=2<span> 

</span>lim f (x)                 = lim <span>x^2 ln2        = 4ln2
</span>x approaches 2      x approaches 2<span>
 for x>2                    </span>for x>2<span> </span>
You might be interested in
Solve (X + 6)(x - 4) = -16<br> O {-4, 6)<br> O {-4, 2]<br> O (-12, 22)
masya89 [10]

Answer:

x=2 or x=−4

Step-by-step explanation:

Let's solve your equation step-by-step.

(x+6)(x−4)=−16

Step 1: Simplify both sides of the equation.

x2+2x−24=−16

Step 2: Subtract -16 from both sides.

x2+2x−24−(−16)=−16−(−16)

x2+2x−8=0

Step 3: Factor left side of equation.

(x−2)(x+4)=0

Step 4: Set factors equal to 0.

x−2=0 or x+4=0

x=2 or x=−4

6 0
3 years ago
2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.
Alexeev081 [22]

Answer:

\frac{18}{40}=0.45

Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.

Step-by-step explanation:

1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.

2) Here are the most common outcomes, as long as we continue on flipping coins.

\frac{18}{40}=0.45

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5

This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

S_{80}=0.503\\S_{120}=0.50

6 0
3 years ago
Help please inscribe angles
gladu [14]

Answer:

278°

Step-by-step explanation:

m arc BAC = 360 -(2×41)

= 360 - 82 = 278°

8 0
2 years ago
Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
3 years ago
What is the multiplicative inverse of 156
Fantom [35]

Answer is: 1/156 as a fraction

6 0
3 years ago
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