Answer:
<em>31.317 </em>
Step-by-step explanation:
We are given with the expression <span> (1 - cos x) / (x^2)</span><span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. cos infinity is 1. The answer is zero over zero. This is indeterminate so we derive the terms according to L'hopital's rule. The derivative is sin x /2x. sin infinity is 1. 1/infinity is equal to zero. Hence the answer is zero.</span>
Answer:
b. 7
Step-by-step explanation:
133÷y=19
=> 133 ÷ 19 = y
=> 7 = y
=><u> y = 7(Ans)</u>
The population size after 6 years and after 8 years are 147 and 169 population respectively
<h3>Exponential functions</h3>
The standard exponential function is expressed as y = ab^x
where
a is the base
x is the exponent
Given the function that represents the population size P (t) of the species as shown;
For the population size after 6 years
For the population after 8 years
Hence the population size after 6 years and after 8 years are 147 and 169 population respectively
Learn more on exponential function here: brainly.com/question/2456547
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vertical asymptotes occur, at zeros of the denominator, so long the value doesn't make the numerator zero.
so, in this case are x = 6 and x = 3.