Rewrite equation so that it is homogeneous .
Solve characteristic equation:
The solutions to the homogeneous equation are:
Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
Answer:
x < 1/2
Step-by-step explanation:
5(2x + 1) < 10
Divide each side by 5
5/5(2x + 1) < 10/5
2x+1 < 2
Subtract 1 from each side
2x+1-1 < 2-1
2x <1
Divide each side by 2
2x/2 <1/2
x < 1/2
Answer:
Step-by-step explanation:
If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8
The engine speed is at maximum if dy/dx = 0
dy/dx = -2(3.75)x+23.2
dy/dx = -7.5x + 23.2
since dy/dx = 0
0 = -7.5x + 23.2
7.5x = 23.2
x = 23.2/7.5
x = 3.093
Hence the maximum torque is 3.09 rev/min
Answer:
B
Step-by-step explanation:
If you arrange a statistics in order from least to greatest, the middle number is the median.
If there is even number of numbers in a list, let it be n numbers, then we take the average of n/2th and n/2 + 1 th terms.
Here, all of them have 6 numbers, so 6/2 = 3 and 4th, we take average of 3rd and 4th number to find the median.
Since they are arrange in order we check each:
Jon = average of 6 and 7, (6+7)/2 = 6.5
Leroy = average of 6 and 8, (6+8)/2 = 7
Simon = average of 5 and 6, (5+6)/2 = 5.5
Leroy's median is the greatest (7).
Those two added together are equal to
14 and
