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nataly862011 [7]
2 years ago
10

HELP !!!. I need help with these questions( see image). Please show workings.

Mathematics
1 answer:
snow_lady [41]2 years ago
6 0

9514 1404 393

Answer:

  • a) 7
  • b) -27
  • c) 18
  • d) 8
  • e) 2
  • f) 1

Step-by-step explanation:

The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.

The limit of a rational function at a "hole" is the value of the simplified function at that point.

1a) lim = 4+3+2-2 = 7

1b) lim = (3)(-3)(3) = -27

1c) lim = 3^2+9 = 18

1d) lim = (x+4) = 4+4 = 8

1e) lim = 3x+1 = 3(1/3) +1 = 2

1f) lim = x^2/x^2 = 1

_____

The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.

As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)

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Answer:

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5 0
2 years ago
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Radda [10]
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What is 12/7 as an mixed number ??
joja [24]

Answer:

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Step-by-step explanation:

4 0
2 years ago
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A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as
Sati [7]

Answer: The age of the fossilized leaf is 13829 years.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant = 100

a - x = amount left after decay process = \frac{18}{100}\times 100=18  

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

t_{\frac{1}{2}}=\frac{0.693}{k}

k=\frac{0.693}{5600years}=0.00012years^{-1}

b) for finding the age

t=\frac{2.303}{0.00012}\log\frac{100}{18}  

t=13829years

The age of the fossilized leaf is 13829 years.

7 0
3 years ago
MULTIPLE CHOICE:
babunello [35]
Ingles C would be diagonal so your best answer be D hope this helped !!!!!!
5 0
2 years ago
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