Answer:
(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.
Step-by-step explanation:
Answer:
384 square units
Step-by-step explanation:
Square prism = Cube
Formula for finding the surface area of a cube = L x L (6)
Surface area = 8 x 8 (6)
Surface area = 64(6)
Surface area = 384 square units
Step-by-step explanation:
<h3>Part A</h3>
<u>Multiply the energy produced in 1 second by the number of seconds:</u>
erg
<h3>Part B</h3>
10⁻³ is same as 0.001 times and 10³ is same as 1000 times.
1.6*1000 = 1600 mm = 160 cm = 1.6 m is way too big for the measurement of the distance between the tracks on a CD.
So the first option is correct.
Answer:
8 (C)
Step-by-step explanation:
The diagonals of a square are congruent and bisect each other.
One half of a diagonal = 4
Therefore, the whole diagonal is 8.
<u>y = 3x - 2</u>
-- The ' 3 ' is the slope. If you double it to ' 6 ', the line is steeper.
-- The ' -2 ' is the y-intercept. If you double it to ' -4 ', the line crosses the y-axis lower.
Choice <u>(a)</u> says that . . . "... steeper, and lower y-intercept".
