Advertisements
Advertisements
प्रश्न
A family is using Liquefied petroleum gas (LPG) of weight 14.2 kg for consumption. (Full weight 29.5kg includes the empty cylinders tare weight of 15.3kg.). If it is used with constant rate then it lasts for 24 days. Then the new cylinder is replaced. Draw the graph for first 96days
Advertisements
उत्तर
The relation connecting the quantity of gas to the number of days of consumption is
y = `- 71/120 x + 14.2`
Let f(x) = `- 71/120 x + 14.2`
Here f(x) is a periodic function of period 24
∴ f(x + 24) = f(x)
When x = 0
f(0) = `- 71/120 xx 0 + 14.2`
⇒ y = 14.2
The corresponding point is (0, 14.2)
When x = 24
f(24) = `- 71/120 xx 0 + 14.2`
⇒ y = 14.2
⇒ f(24) = `- 71/5 + 14.2`
= – 14.2 + 14.2 = 0
⇒ y = 0
Corresponding point is (24 , 0)
When x = 48
f(48) = f(24 + 24 + 0)
= f(24 + 0)
= f(0) = 0
Corresponding point is (48, 0)
When x = 72
f(72) = f(24 + 24 + 24 + 0)
= f(24 + 24 + 0)
= f(24 + 0)
= f(0) = 0
Corresponding point is (72, 0)
The required graph is
APPEARS IN
संबंधित प्रश्न
Find the slope of the following line which passes through the points:
C(−2, 3), D(5, 7)
Find the slope of the following line which passes through the points:
E(2, 3), F(2, −1)
A line makes intercepts 3 and 3 on the co-ordinate axes. Find the inclination of the line.
Select the correct option from the given alternatives:
If A is (5, −3) and B is a point on the x-axis such that the slope of line AB is −2 then B ≡
Select the correct option from the given alternatives:
A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y−interecpt is
Select the correct option from the given alternatives:
If kx + 2y − 1 = 0 and 6x − 4y + 2 = 0 are identical lines, then determine k
Answer the following question:
Find the value of k the points A(1, 3), B(4, 1), C(3, k) are collinear
Find the equation of the lines passing through the point (1, 1) with y-intercept (– 4)
Find the equation of the lines passing through the point (1,1) and (– 2, 3)
Find the equation of the lines passing through the point (1, 1) and the perpendicular from the origin makes an angle 60° with x-axis
An object was launched from a place P in constant speed to hit a target. At the 15th second, it was 1400 m from the target, and at the 18th second 800 m away. Find the distance covered by it in 15 seconds
Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30° with x-axis and its length is 12
A straight line is passing through the point A(1, 2) with slope `5/12`. Find points on the line which are 13 units away from A
A 150 m long train is moving with constant velocity of 12.5 m/s. Find time taken to cross a pole
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
| Weight (kg) | 2 | 4 | 5 | 8 |
| Length (cm) | 3 | 4 | 4.5 | 6 |
How long will the spring be when 6 kilograms of weight on it?
Choose the correct alternative:
The line (p + 2q)x + (p − 3q)y = p − q for different values of p and q passes through the point
The locus of the point of intersection of the lines xcosα + ysinα = α and xsinα – ycosα = b(where α is a variable) is ______.
The number of possible tangents which can be drawn to the curve 4x2 – 9y2 = 36, which are perpendicular to the straight line 5x + 2y – 10 = 0 is ______.
