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3 years ago

13

A ladder 15 metres long leans against a vertical wall so that the top of the ladder is 12 metres above the ground. What angle do

es the ladder make
a. With the ground
b. With the wall?

1 answer:

galben [10]3 years ago

7 0

Answer:

b

Step-by-step explanation:

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Evaluate the integral ∫2−1|x−1|dx

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I think you might be referring to the definite integral,

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Then $|x-1|=x-1$ if $x\ge1$ , and $|x-1|=1-x$ is $x$ . So spliting up the integral at <em>x</em> = 1, we have

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The rest is simple:

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}$

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Answer:

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