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Math 12 Chapter 3
Integration
Test - 2
1.
Area under the line y = x and above the x-axis from 0 to 1 is _________________
a) 1/3
b) 1/4
c) 1/2
2.
The order of differential equation is the order of the __________________ in the equation.
a) Integrand
b) Highest derivative
c) General
d) Lowest derivative
3.
Differential equations contain at least ___________________ derivative of a dependent variable.
a) Two
b) Three
c) One
4.
Area under the curve y = sin x and above x-axis, from 0 to π is ______________
a) 4
b) 8
c) 2
d) 6
5.
The order of differential equation x d
2
y/dx
2
+ dy/ dx - 2x = 0 is ________________
a) 4
b) 6
c) 2
d) 3
6.
If
0
∫
1
f(x)dx = 5 and
1
∫
3
f(x)dx = 3, then
0
∫
3
f(x)dx = _________________
a) 8
b) 2
c) 4
d) 6
7.
The area above the x-axis and under the curve y = f(x) from a to b is ________________
a)
a
∫
b
f(x) dx
b)
b
∫
a
f(x) dx
c)
a
∫
c
f(x) dx
8.
The general solution of differential equation of order n contains _________________ arbitrary constants.
a) m
b) n
c) o
d) d
9.
n arbitrary ______________________ in the solution of a differential equation can be determined by n initial conditions.
a) Orderd
b) Constants
c) General
d) Ranged
10.
The_____________________ solution of a differential equation represents a family of curves.
a) Ordered
b) Differential
c) Ranged
d) General
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