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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?
how to curve trace? and how to know whether the equation is a circle or parabola, hyperbola ellipse?
1
How to find y(t) from y''+2y=2-e^-4t?
find the volume of a rectangular based right pyramid with its base 18 cm by 24 cm and the slanted edge 39 cm
If the ratios of the polynomial ax 3 +3bx 2 +3cx+d are in AP, Prove that 2b 3 -3abc+a 2 d=0 Ans: Let p(x) = ax 3 + 3bx 2 + 3cx + d and α , β , r are their three Z
Factor Expressions Involving Large Powers, Radicals, and Trig Functions You can use substitution to factor expressions involving large powers, radicals, and trig functions
5a^2b^2-5ab(6)
Logarithmic Differentiation : There is one final topic to discuss in this section. Taking derivatives of some complicated functions can be simplified by using logarithms. It i
A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.
7(y + 3) - 2(x + 2) = 14, 4 (y - 2) + 3(x - 3) = 2 Ans: 7(y + 3) - 2 (x+ 2) = 14 --------- (1) 4(y- 2) + 3(x - 3) = 2 ----------(2) From (1) 7y +21 -
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