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3 years ago

I have an interesting intergral that seems pretty challenging. After attempting to solve it for some time, I've come up empty ha

nded. Can you solve this integral?
Indefinite Integral of:
${x}^{4} { {e}^{x} }^{3}$

Mathematics

1 answer:

serious [3.7K]3 years ago

3 0

${x}^{4} { {e}^{x} }^{3} = 0 \\ \Leftrightarrow {x}^{4} = 0 \: \vee \: { {e}^{x} }^{3} = 0 \\ \Leftrightarrow x = 0\: \vee \:x \in \emptyset \\ \Leftrightarrow x = 0$

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Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with t

boyakko [2]

Answer:

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

Step-by-step explanation:

Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.

To find - He asked his students to create an equation or inequality with

this value as a solution.

Proof -

Given that, The value statement is ''x = 2''

We have to find out that equation in such a way that if we solve the equation , we get the value x = 2

There can be infinite many equation that give the value statement '' x = 2''

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

And many more.

Verification -

1. 2x = 4

⇒x = $\frac{4}{2}$

⇒x = 2

Verified

2. 3x + 9 = 15

⇒3x = 15 - 9

⇒3x = 6

⇒x = $\frac{6}{3}$

⇒x = 2

Verified

3. x + 5 = 7

⇒x = 7 - 5

⇒x = 2

Verified

4. 5x - 2 = 8

⇒5x = 8 + 2

⇒5x = 10

⇒x = $\frac{10}{5}$

⇒x = 2

Verified

7 0

2 years ago

Whats equlvlent to 3√6

Firlakuza [10]

Answer:

Important: 3

looks like a fraction, but it is actually an improper fraction.

There is an infinity number of equivalent fractions to 3

To find an equivalent fraction to 3

, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:

By dividing the original fraction by 3, we get:

3 ÷ 3

6 ÷ 3

= 1

By multiplying the original fraction by 2, we get:

3 × 2

6 × 2

= 6

Step-by-step explanation:

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2 years ago

How is using base ten blocks helps you to add decimals

lapo4ka [179]

It helps to add decimals because it means one out of ten

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3 years ago

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Given the line 2y=−3x+5 , determine the relationship to the line below. Is it perpendicular, parallel, intersecting (but not per

aliya0001 [1]

Answer:

coinciding

Step-by-step explanation:

If you divide the second equation by 3, you get the first equation. They describe the same line, so the lines are <em>coinciding</em>.

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3 years ago

Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table.

Leona [35]

Answer:

The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3

Step-by-step explanation:

* Lets explain the difference between the theoretical probability and

experimental probability

- Theoretical probability is what we expect to happen

- Experimental probability is what actually happens when we try it out

- Both of them calculated by the same way, the number of possible ways

an outcome can occur divided by the total

* Lets solve the problem

- The table has two column;

# Number Cube # Observed Frequency

1 18

2 16

3 24

4 26

5 16

6 20

Total 120

∵ The experimental probability of rolling a 3 = 24/120 = 1/5 = 0.2

∴ The experimental probability of rolling a 3 = 0.2 = 20%

∵ The theoretical probability of rolling a 3 = 1/6

∴ The theoretical probability of rolling a 3 = 0.1666 ≅ 17%

∵ 20% is greater than 17%

∴ The experimental probability of rolling a 3 is greater than the

theoretical probability of rolling a 3

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3 years ago

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