Answer:
The value of c that satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] is approximately 0.1793.
Step-by-step explanation:
Given f(x) = 5cos²x² + ln(x + 1) - 3
The Mean Value Theorem applied to f on an interval [a, b] is given as
f'(x) = c = [f(b) - f(a)]/(b - a)
= [f(4) - f(1)]/(4 - 1)
c = [f(4) - f(1)]/3
f(4) = 5(cos4²)² + ln(5) - 3
= 3.2296
f(1) = 5(cos1²)² + ln(2) - 3
= 2.6916.
c = (3.2296 - 2.6916)/3
= 0.538/3
≈ 0.1793
Answer: 3 × 
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only 1 digit to the left of the decimal point. In this case, we can write 30,000 as 3.0000 and notice that there is only 1 digit to the left of the decimal point.
Next, we count the number of places the decimal point would need to move to get back to the original number which is 30,000. Since we would need to move the decimal point 4 places to the right, this gives us an exponent of positive 4. So, we can write this in scientific notation.
3.0000 × 
The exponent is positive because we would need to move the decimal point 4 places to the right in order to get back to our original number.
We can also write it as 3 ×
since we can drop zeroes at the end of the decimal.
Therefore, 30,000 can be written in scientific notation as 3 ×
.
Answer:
1280
Step-by-step explanation:
Answer:
the one on the right looks best for the slope because the slope is a lot larger than the one on the right the one on the right is smaller but a few inches few times I don't know you might want to check it before I actually answer it for you so I hope you found this kind of helpful thank you bye