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The population of a city is observed as growing exponentially according to the function P(t) = P0ekt, where the population doubled in the first 50 years.
(a) Find k to three decimal places.
(b) By what factor (to two decimal places) will the original population have grown in the first 125 years?
(c) When will the original size of the population have grown by a factor of ten?
Using the expample provided below, if m∠ABE = 4x + 5 and m∠CBD = 7x - 10, Determine the measure of ∠ABE. a. 155° b. 73° c. 107° d. 25° d. ∠CBD and ∠ABE are vert
Differentiate following functions. g ( x ) = 3sec ( x ) -10 cot ( x ) Solution : There actually isn't a whole lot to this problem. We'll just differentia
the limit of f(x) as x approaches 5 is equal to 7. write the definition of limit as it applies to f at this point
Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du, where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably
logical reasoning
2/3 divided 22 hours
As x tends to zero the value of 1/x tends to either ∞ or -∞. In this situation we will not be sure about the exact value of 1/x. As a result we will not be sure about the exact/app
what is linear?
Evaluate following sin 2 ?/3 and sin (-2 ?/3) Solution: The first evaluation in this part uses the angle 2 ?/3. It is not on our unit circle above, though notice that 2 ?/
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