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:
$30.98
Step-by-step explanation:
Make an expression
It costs 3.25 per mile(x), and there is a cost of 4 no matter how many miles are traveled.
3.25x+4
To find how much 8.3 miles will cost, substitute 8.3 in for x
3.25x+4
3.25(8.3)+4
Multiply
26.975+4
Add
30.975
Round to the nearest cent/hundreth
30.98
So, it costs $30.98 to travel 8.3 miles
Hope this helps! :)
Answer:
12.75
Step-by-step explanation:
That would be B because 65 < 40 + 30
