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gregori [183]
2 years ago
10

Estimate the area under the curve f(x) = x2 + 1 from x = 0 to x = 6 by using three circumscribed (over the curve) rectangles. An

swer to the nearest integer.
Mathematics
1 answer:
BaLLatris [955]2 years ago
3 0
1) split the range in three identical invervals of size [6 - 0] / 3 = 2

2) form three rectangles

2a) First rectangle: base 2, height f(2) = 2^2 + 1 = 5

     area 1 = base * height = 2 * 5 = 10

2b) second rectangle: base 2, height f(2+2) = 4^2 + 1 = 17

     area 2 = 2 * 17 = 34

2c) third rectangle: base 2 height f(4+2) = 6^2 + 1 = 37

     area 3 = 2*37 = 74

3) total area = area 1 + area 2 + area 3 = 10 + 34 + 74 =  118

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See below for the vocabularies and their correct definition

<h3>Missing part of the question</h3>

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The terms are given as:

  • inverse of a conditional
  • contrapositive of a conditional
  • converse of a conditional

To get the inverse of a conditional, the hypothesis and the conclusion are negated, without interchanging them.

So, we have:

Inverse of a conditional ⇒ A new statement formed by negating both the hypothesis and the conclusion.

To get the contrapositive of a conditional, the hypothesis and the conclusion are negated, after interchanging them.

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Contrapositive of a conditional ⇒ Formed by exchanging the hypothesis and the conclusion and negating both of them.

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