Answer:
Area: 180 units2 (units 2 is because since the are no specific unit given but every area should have a unit of measurement)
Step-by-step explanation:
The area enclosed by the graph of the function, the horizontal axis, and vertical lines is the integral of the function between thos two points (x=2 and x=4)
So , let's solve the integral of f(x)
Area =+C
C=0
So if we evaluate this function in the given segment:
Area= 3* (4^4)/4-3*(2^4)/4= 3*(4^4-2^4)/4=180 units 2
Goos luck!
Answer:
Absolute minimum = 7
Step-by-step explanation:
We are given graph of f'(x). f(0)=7
We need to find the absolute minimum value of f(x) over interval [-3,0]
First we will see the graph of f'(x) over interval [-3.0]
f'(-3)=3
f'(0)=0
Thus, f'(x) is decreasing
x=0 is critical point of the function f(x) because f'(0)=0
We will get absolute maximum/minimum at x=0. f(x) >0
Hence, f(0) is absolute minimum at x=0 , Absolute minimum = 7
Answer:
(300 + 50x)/(2 + x)
Step-by-step explanation:
Let the cost of teachers' edition books be t
Let the cost of students' edition books be s
So t = 150; s = 50
Then the total cost of 2 teachers' editions and x students' editions is 2t + sx = 2 × 150 + 50x = 300 + 50x.
The total number of books is 2 + x.
So the average cost per book is (300 + 50x)/(2 + x)
Answer:
The fourth option i.e. 'no solution' is correct.
Step-by-step explanation:
Given the system of equations
Adding both equations
so the system of equations becomes
0 = 8 is FALSE!
Therefore, the system of equations has no solution.
Thus,
No Solution!
Hence, the fourth option i.e. 'no solution' is correct.
Answer:
the answer would be 47.75981574 or 47.76