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
<span>Divide the first term of the numerator by the first term of the denominator, and put that in the answer.Multiply the denominator by that answer, put that below the numerator.Subtract to create a new polynomial.
Hope this helps. :)
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Answer:
B
Step-by-step explanation:
given
- 4x²(3x - 7)
multiply each term in the parenthesis by - 4x²
= (-4x² × 3x) + ( - 4x² × - 7)
= - 12x³ + 28x² → B
0.2 repeating is 0.2222222222...
so you have to put the repeating digit(s) divided by 9's
Then it will be 2/9 which yields 0.222222222.....
Answer:
x=11
Hope this helps :)
Step-by-step explanation:
