Answer:
B. 3.
Step-by-step explanation:
OK lets try again.
The slope of the secant = slope of the tangent at a certain point ( The Mean Value Theorem).
Slope of the secant = f(5) - f(2) / (5 - 2)
= [(25-3) / (5-1) - (4-3) / (2-1)] / 3
= (22/4 - 1) / 3
= 9/2 / 3
= 9/6
= 3/2.
The derivative at c = the slope of the tangent at c.
Finding the derivative:
f'(x) = [2x(x - 1) - (x^2 - 3) ]/ (x - 1)^2 (where x = c).
= (x^2 - 2x + 3)/ (x - 1)^2 = the slope.
So equating the slopes:
(x^2 - 2x + 3) / (x - 1)^2 = 3/2
2x^2 - 4x + 6 = 3x^2 - 6x + 3
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 90
x = 3 , -1
x can't be -1 because we are working between the values 2 and 5 so
x = c = 3.
3n - 1
When n = 1,
3n - 1 = 3*1 - 1 = 3 -1 = 2
When n = 2,
3n - 1 = 3*2 - 1 = 6 -1 = 5
When n = 3,
3n - 1 = 3*3 - 1 = 9 -1 = 8
Hence, the first three terms are 2, 5 and 8.
Answer:
The second tank.
Step-by-step explanation:
Since both filling up at the same rate, all you would have to do is multiply the gallons.
4/5 multiplying top and bottom by 8 is 32/40
7/8 multiplying top and bottom by 5 is 35/40
The following list shows how many brothers and sisters some students have: 3, 4, 3, 5, 6, 2, 5, 4, 5, 4, 6, 5, 3 State the mode.
omeli [17]
I believe the mode is 5 because there are four 5’s which is the most of a certain number in this list.
Answer:
100
Step-by-step explanation:
Write in an equation:
4=4%x, then divide 4% from both sides, and then you get 100.
