Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°)
Answer:
really ur at a college level asking that
Step-by-step explanation:
Answer:
-384
Step-by-step explanation:
geometric sequence : every new element is generated by multiplying the previous element always with the same number r.
a(n) = a(n-1) * r
a(n) = a(1) * r^(n-1)
so, a(1) = 3, r = -2
a(8) = ?
a(8) = a(1) * r^7 = 3 * (-2)^7
a negative number to an uneven power is again a negative number.
so, (-2)^7 = -128
3 * -128 = -384 = a(8)
Answer:
∫₂⁵ ln(x) dx
Step-by-step explanation:
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln((2n + 3i) / n)
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln(2 + (3/n) i)
The width of the interval is b−a = 3, and there are n rectangles. So the width of each rectangle is 3/n, and the height of each rectangle is ln(2 + (3/n) i).
The ith term is 2 + (3/n) i, so a = x₀ = 2. Therefore, b = 2+3 = 5.
So the region is the area under f(x) = ln(x) between x=2 and x=5.
∫₂⁵ ln(x) dx