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:
20 km
Step-by-step explanation:
Answer:
D. ÷ 3
Step-by-step explanation:
We can use any numbers for x to see what would happen to y:
If x was 5, y would be 1 (because 5 ÷ 5 = 1). Now, if we tripled x and made it 15 (5 × 3 = 15), y would be 1/3 (because 5 ÷ 15 = 1/3).
This means that the value of y divides by 3, option D
Hope this helps!
From The picture 2 barrels = 73 gallons
Divide by 2 for gallons per barrel:
73/2 = 36.5 gallons per barrel
Multiply gallons per barrel barrels:
36.5 x 0.045 = 1.6425 gallons.
Rounded to 2 decimals = 1.64
Y X
(1,3)
The y goes down once and x goes across 3 times
