Calculus 2 Assignment 3 Due on November 19 2020
微积分Calculus代写 .Determinewhether the sequence is increasing, decreasing or not Also determine whether or not the sequence is bounded.
Give complete, well written solutions to the following exercises:
- Calculatethe perimeter of the astroid given by the equation x2/3 + y2/3 = 1. Hint: Find the arc length of the astroid in the first quadrant and use symmetry to calculate the perimeter of the A plot of this curve can be found on wikipedia
2.Use the integral formula for arc length to show that the shortest distance betweentwo points is a line. 微积分Calculus代写
Hint: You may assume without loss of generality that both points have the same y value.
3.Onemodel for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor.
a.Write a differential equation that is satisfied byy.
b.Solve the differential equation. 微积分Calculus代写
c.A small town has 1000 inhabitants. At 8am, 80 people have heard the rumor. By noon half the town has heard it. At what time will 90% of the population have heard therumor?
4.Determinewhether the sequence is increasing, decreasing or not Also determine whether or not the sequence is bounded. 微积分Calculus代写
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