368 he earned each week.
During the 4 weeks he earned 1472, to be able to know the amount he earn each week. We simply, divide 1472 into 4 because in a month there are 4 weeks. In dividing,1472/4 = 368. The above answer is correct.
Eeehhhhhhh
1, 3, 1, 0, 0, 1, 0, 0, 1, 1
200.96 square cm
Area of circle = pi * r^2
= 3.14 * 8^2
= 200.96 square cm
To answer this question, first
let ∫ √(t³+1) dt = g(t) + C
<span>Then g'(t) = √(t³+1) </span>
<span>F(x) = ∫₀ˣ √(t³+1) dt = g(t) |₀ˣ = g(x) - g(0) </span>
<span>Now g(x) is some function of x, while g(0) is a constant </span>
<span>F(x) = g(x) - g(0) </span>
<span>Differentiate both sides: </span>
<span>F'(x) = g'(x) - 0 = √(x³+1) </span>
<span>So you are correct, in this case, we simply replace t with x (this is not always the case) </span>
<span>F'(2) = √(2³+1) = √9 = 3 </span>
<span>You MUST remember that when dealing with square roots, we have: </span>
<span>x² = 4 -----> x = -2 or 2 </span>
<span>x = √4 ----> x = 2 </span>
<span>That's why in the quadratic formula: x = (-b ± √(b²-4ac)) / (2a), we use a ± sign in front of square root, otherwise, if we could willy-nilly assign positive and negatives value to √(b²-4ac), then we would have no need for the ± sign. </span>
<span>Also, when solving x² = 4, we usually have intermediate step </span>
<span>x = ± √4, where +√4 (or simply √4) = 2, and -√4 = 2
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