Answer:
Length of each shelf is 0.45 meters
Step-by-step explanation:
Given
Required
Determine the length of each shelf
This is calculated by dividing the total length by number of shelves as thus:
Hence;
<em>Length of each shelf is 0.45 meters</em>
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2 answers:
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Answer:
slope =
Step-by-step explanation:
1) Calculate the slope using slope formula, . Use the two points given, substitute their x and y values into the formula, and solve.
Thus, the slope is .
Important formula we will use.
First formula
2 cos α sin β = sin (α + β) - sin (α - β)
Second formula
∫ sin x dx = - cos x + c
We should change the trigonometry expression from multiplication into addition. Use the first formula above
∫ 8 sin (2x) cos (3x) dx
= ∫ 4 ( 2 sin (2x) cos (3x) dx)
= 4 ∫ 2 cos (3x) sin (2x) dx
= 4 ∫ sin (3x + 2x) - sin (3x - 2x) dx
= 4 ∫ sin 5x - sin x dx
After changing into addition, solve the integration. Use the second formula.
= 4 ∫ sin 5x - sin x dx
This is the answer.
First formula
2 cos α sin β = sin (α + β) - sin (α - β)
Second formula
∫ sin x dx = - cos x + c
We should change the trigonometry expression from multiplication into addition. Use the first formula above
∫ 8 sin (2x) cos (3x) dx
= ∫ 4 ( 2 sin (2x) cos (3x) dx)
= 4 ∫ 2 cos (3x) sin (2x) dx
= 4 ∫ sin (3x + 2x) - sin (3x - 2x) dx
= 4 ∫ sin 5x - sin x dx
After changing into addition, solve the integration. Use the second formula.
= 4 ∫ sin 5x - sin x dx
This is the answer.