Help
Contact
For teachers and institutes
Search courses, problems, tests…
A
A
>_
StemPy Lab
Courses ▾
Problems ▾
Practice ▾
Mock Tests
Classes
Community ▾
A
A
A textbook question reads: find the area bounded by the… | StemPy Lab
Quizzes
/
A textbook question reads: find the area bounded by the curve y = x², the x-axis and the ordinates x = 1 and x = 3. A student who has studied in another country has not met the word ordinate. What do the ordinates x = 1 and x = 3 mean in this question?
Mathematics
Easy
High School (11–12)
Functions and Calculus › Application of Integrals
A-Level
AP
IB
Created by
StemPy Lab
A textbook question reads: find the area bounded by the curve
y
=
x
2
y = x^2
y
=
x
2
, the
x
x
x
-axis and the ordinates
x
=
1
x = 1
x
=
1
and
x
=
3
x = 3
x
=
3
. A student who has studied in another country has not met the word ordinate. What do the ordinates
x
=
1
x = 1
x
=
1
and
x
=
3
x = 3
x
=
3
mean in this question?
The horizontal lines
y
=
1
y = 1
y
=
1
and
y
=
3
y = 3
y
=
3
The tangents to the curve at
x
=
1
x = 1
x
=
1
and
x
=
3
x = 3
x
=
3
The vertical lines
x
=
1
x = 1
x
=
1
and
x
=
3
x = 3
x
=
3
The two points where the curve meets the
x
x
x
-axis
Check Answer
Log in to save
Tag someone
⚑ Report
← All Quizzes
← A farmer in Kenya sketches the edge of a field as the curve y = 16 - x² and covers the region under it with four rectangles of width 1 metre, as in the figure. The top right corner of each rectangle touches the curve, and the last rectangle has height 0. What is the total area of the four rectangles, in square metres?
The side of a ramp in a skatepark in Perth is cut along the curve y = 6√x, where x and y are in decimetres, between x = 1 and x = 4. The bottom edge of the side is along the x-axis. A painter needs the area of the side. What is the area, in square decimetres? →
More on
Functions and Calculus › Application of Integrals
Discussion (0)
Log in
to join the discussion.
Loading…
All questions on this topic →
Problems on this topic
A power cable hangs between two poles of equal height, 30 m apart…
Hard
A landscape gardener lays a curved border of stones along the graph of y = x²/4 - (ln x)/2, from x…
Medium
A rain gauge in a hill town records the rainfall intensity R(t) = 12te^(-t/2) millimetres per hour…
Medium
A warehouse robot moves along a straight rail…
Hard
All problems on this topic →