Word problem
In 1990 the populations of a country was estimated at 4 million. For any year the population is modeled by this logistic equations: p(t)= (240) ÷ (5+54.99e-.0208t) , where is the number of years since 1990. Estimate the year that the population will be 21 million.
To estimate the year when the population will be 21 million.
Given:
240 p(t)= 5+54.99e.02081
Substitute 21 for...
240 p (t)= 5 54.99e.020S 240 21= 5 54.99e-0.020 8r 0.020 8 21x (5+54.99e = 240 1154.79e.020= 240-105 135 e-0.0208 1154.79 Take log on both the sides 135 -0.0208t In 1154.79 1 In -0.0208 1154.79 135 t =- t =103.19 years
Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given b...
A: The extreme value of a function is obtained when the first derivative of the function is 0.Applying ...
Q: 21
A: Refer to the question we need to find the interval where the function is increasing or decreasing.
Q: what is the integral of this? 8 x1/2(3 + x3/2)5 dx
A: Given,
Q: f(x) dx using three equal subintervals with right endpoints, left endpoints, and midpoints. The tabl...
A: To determine the integral:Part a) Using three equal subintervals with right endpoints.Part b) Using ...
Q: Solve: The integrand (1-cos2 4t) cos4t dt on the integral 0 to pi/12
A: Use Pythagorean identity. 1-cos^2 theta = sin^2 thetahere theta= 4t
Q: What is the maximum vertical distance between the line y = x + 2 and the parabola y = x2 for −1 ≤ x ...
A: Consider the given line
Q: Attempt 3 > Question 1 of 18 A food truck caters an event attended by 100 guests. Every guest orders...
A: Let x guests ordered salad then (100-x) guests ordered turkey plate.Now, since, the price of a salad...
Q: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 25 km/h and ship B is sailing n...
A: The below diagram represents the pictorial representation of the given problem.The position of the s...
Q: integral from 1 to 2 of (e1/x^3 ) / x4
A: To evaluate