Answer:
(a) y = ¼ sin(x² + C)
(b) y = ¼ sin(x²)
Step-by-step explanation:
(a) dy/dx = ½ x √(1 − 16y²)
dy / √(1 − 16y²) = ½ x dx
4 dy / √(1 − 16y²) = 2x dx
sin⁻¹(4y) = x² + C
4y = sin(x² + C)
y = ¼ sin(x² + C)
(b) When x=0, y=0.
0 = ¼ sin(C)
C = 0
y = ¼ sin(x²)
First, look at the coefficients, 6, 24, -72. 6 is a factor of 6, 24, and -72. Since one of the coefficients is in fact 6, then 6 is the GCF of the coefficinets.
Now look at the variables. You have x^4, x^3, and x^2. Remember what the exponents mean. They mean a multiplication of several factors of x.
x^4, x^3, x^2 mean xxxx, xxx, xx
xxxx, xxx, xx have 2 factors of x in common, so the greatest common factor of the variables is xx which is the same as x^2.
When you put together the common factor of the coefficients and the common factor of the variable parts, you get GCF = 6x^2.
Step-by-step explanation:
105/3 = 35 push ups per minute
35 x 5 = 175 push ups in 5 minutes
25/30 in it’s simplest form is 5/6
Answer:Points, Lines, and Ang. A midpoint is a point that bisects, or divides, a line segment into two congruent pi. Point B is the midpoint of AC
Step-by-step explanation:
