Answer:
Third option
m = 2.25
Step-by-step explanation:
The slope of the function is equal to its rate of change between two points.
For example, for a couple of points 
The slope is:
In this problem we have the following points
1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)
We calculate the slope between the first two points
We calculate the slope between the points 3 and 4
We calculate the slope between the points 2 and 3
The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25
Answer:
780
Step-by-step explanation:
So when you're adding consecutive numbers like this. 1+2+3...+39. You add 39 and 1. This is 40. 2+38 is 40. This is a pattern. Now, we do 40 multiplied by 39 and this will give you the number 1620. After this you would have to divide this product by 2. The answer will soon be 780.
Answer:
Step-by-step explanation:
Given:
x = 2cost,
t = (1/2)arccosx
y = 2sint
dy/dx = dy/dt . dt/dx
dy/dt = 2cost
dt/dx = -1/√(1 - x²)
dy/dx = -2cost/√(1 - x²)
Differentiate again to obtain d²y/dx²
d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)
At t = π/4, we have
(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)
The only correct statements are the second one and the last one.
