Answer:
3 grams
Step-by-step explanation:
We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:
Mass of strip = denisty * area = (1+x)*y*deltax grams
now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!
**pretend ∈ is the sum symbol
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2
Total mass = mass left + mass right = 1 + 2 = 3 grams
Differentiating once, we have
Differentiating again,
as needed.
I dunno if im correct, but for A. I’d say 1/4 for B. I’d say 1 1/2 for C. 2/3
The "9" in the second term is a coefficient.
Answer:
The slope is 1/2
Step-by-step explanation:
To get the slope, we select any two points on the line and apply the slope formula
The points are;
(5,4) and (9,6)
The formula for the slope is;
m = (y2-y1)/(x2-x1)
m = (6-4)/(9-5) = 2/4 = 1/2
