Answer:
½ asin x + ½ x √(1−x²) + C
Step-by-step explanation:
You're going in the right direction. The next step is to use a power reduction formula:
∫ cos² u du
∫ (½ + ½ cos(2u)) du
½ ∫ du + ½ ∫ cos(2u) du
½ ∫ du + ¼ ∫ 2 cos(2u) du
½ u + ¼ sin(2u) + C
Next, we use double angle formula:
½ u + ½ sin u cos u + C
x = sin u, so u = asin x, and cos u = √(1−x²).
½ asin x + ½ x √(1−x²) + C
Answer:
1/4
Step-by-step explanation:
First - Convert all fraction with the Greatest Common Factor of 12
12 1/2 = 150/12
4 1/4 = 51/12
2 2/3 = 96/12
Second - Subtract the patio wood and the total
150/12 - 51/12 - 96/12 = 3/12
Third - Simplify 3/12 to 1/4
1/4 of the total wood is left to build the frame of the birdhouse.
Answer:
6^-12
Step-by-step explanation:
Formula : -
a^m / a^n = a^( m - n )
Here,
a = 8
m = 4
n = 16
8^4 / 8^16
= 6^( 4 - 16 )
= 6^-12
Answer:
weight of a basket of apples
Step-by-step explanation:
because a quantitative variable involves numbers, and the weight of a basket of apples would be a number. all of the other answers describe details of something, but wouldn't involve a specific number.