Sh(2x) = (e^2x + e^-2x)/2
<span>Thus the integral becomes </span>
<span>Int[e^3x*(e^2x + e^-2x)/2] = Int[(e^5x + e^x)/2] </span>
<span>= e^5x/10 + e^x/2 + C
</span>=(1/10)(e^5x) + (1/2)(e^x) + C
Answer: The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.
Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.
Step-by-step explanation:
Hi, to answer this question we have to analyze the equation given:
3.00 + 0.50 m = 9.50
Where m is the number of miles.
The equation states that the fixed fee charged (3.00) plus the product of the value of each mile traveled (0.50) and the number of miles traveled (m); is equal to 9.50.
So, the correct statements are:
- The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.
- Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.
Feel free to ask for more if needed or if you did not understand something.
We would need the fractions given
Answer:
8n³ + 10n² - 13n - 15
Step-by-step explanation:
Distribute the factors by multiplying each term in the first factor by each term in the second factor, that is
4n(2n² + 5n + 3) - 5(2n² + 5n + 3) ← distribute both parenthesis
= 8n³ + 20n² + 12n - 10n² - 25n - 15 ← collect like terms
= 8n³ + 10n² - 13n - 15
Answer:
The graph is shown below.
The time to make the taste to half is <u>4.265 s.</u>
Step-by-step explanation:
Given:
Initial value of the taste is, 
Therefore, the quality of taste over time 't' is given as:

Now, when the taste reduces to half, 
Therefore,

Taking natural log on both the sides, we get:

Therefore, the time to make the taste to half is <u>4.265 s.</u>