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Radda [10]
3 years ago
10

If f(x) = {ln x for 0 < x less than or equal to 2

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0
Lim f (x)                = lim  <span>ln x =  ln2
</span> x approaches 2      x approaches 2<span>
 for x<=2                    </span>for x<=2<span> 

</span>lim f (x)                 = lim <span>x^2 ln2        = 4ln2
</span>x approaches 2      x approaches 2<span>
 for x>2                    </span>for x>2<span> </span>
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Answer:

∴ ∠BAD = sin^{-1}(0.2044) = 11.8°

Step-by-step explanation:

i) AD = 9 cm

ii) DC = 3 cm

iii) ∠BCD = 35°

iv) Since AB is parallel to DC and ∠ABD = 90°  then we can conclude that ∠BDC = 90°.

v) \frac{BD}{DC}  =  \frac{BD}{3\hspace{0.1cm}cm}  = tan(35) = 0.6128      ∴ BD  = 3 \times 0.6128 = 1.84 cm

vi) ∴ sin(∠ BAD ) = \frac{BD}{AD}      ⇒     sin(∠ BAD ) = \frac{1.84}{9} = 0.2044

     ∴ ∠BAD = sin^{-1}(0.2044) = 11.8°

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