3. The number n (in hundreds), of mosquitoes in a camping area after / weeks can be modelled by the +45t .According to this model, when will the population of mosquitoes equation be greater than 1800? n(t)=2t-5t³-16r²
3. The number n (in hundreds), of mosquitoes in a camping area after / weeks can be modelled by the +45t .According to this model, when will the population of mosquitoes equation be greater than 1800? n(t)=2t-5t³-16r²
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ANSWER Q3 pls
Transcribed Image Text:Practice
1. Solve the following polynomial inequalities, XER.
a)
b)
c)
d)
e)
f)
g)
h)
i)
x² - 4x +3<0
x²-3x-220
x-120
-x² + 3x+1<0
-2x-2x³ +16x² +24x<0
2(x+3)(x-1)²(x-5) ≤0
-3(x+4)(x-3)³ > 0
x² <22x² +75
2x² - 2x ≥2-x
2. Let f(x)=-2x+1, g(x)=x²-2x+1 and h(x)=x²-1. Determine all values of x such that
f(x)<g(x) <h(x) and illustrate the situation graphically.
3. The number n (in hundreds), of mosquitoes in a camping area after t weeks can be modelled by the
equation n(t) = 2t¹-5t³-16t² +45t .According to this model, when will the population of mosquitoes
be greater than 1800?
4. A zoo wishes to construct an aquarium in the shape of a rectangular prism such that the length is twice the
width and 5 m greater than the height. If the aquarium must have a volume strictly
between 1125 m³ and 3000 m³, determine the restrictions on the length of the aquarium.
5. Determine the equation of a quintic function f(x) that satisfies the following conditions:
o f(-3)=f(0) = f(4)=0
o f(1) = -9
o f(x) > 0whenx<-3or-3<x<0
o f(x) <0when0<x<4orx>4
Illustrate the situation graphically.
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