Step-by-step explanation:
Let the equation of the line be y = mx + c
since the line is parallel to y = -1/2x + 1, the two lines have the same gradient.
therefore, m = -1/2
sub (-4, -1):
-1 = -1/2(-4) + c
c = -3
therefore equation of the line is y = -1/2x - 3
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Answer:
5x4=20
20x2=40
Step-by-step explanation:
The correct answer to this question is <span>d.) integral from 1 to 2 of (2/(x+1))
</span>To solve this:
Since Δx = 1/n.
lim (n→∞) Δx [1/(1+Δx) + 1/(1+2Δx)+ ... + 1/(1+nΔx)]
= lim (n→∞) Σ(k = 1 to n) [1/(1 + kΔx)] Δx.
x <---> a + kΔx
a = 0, then b = 1, so that Δx = (b - a)/n = 1/n
Since (1 + kΔx) combination, a = 1 so that b = 2.
Then, f(1 + kΔx) <-----> f(x) ==> f(x) = 1/x.
This sum represents the integral
∫(x = 1 to 2) (1/x) dx, so the correct answer is <span>d.) integral from 1 to 2 of (2/(x+1))
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