Step-by-step explanation:
a)
dy/dx = 4x √(1 − y²)
Separate the variables:
dy / √(1 − y²) = 4x dx
Integrate:
sin⁻¹ y = 2x² + C
Solve for y:
y = sin(2x² + C)
b)
Plug in initial value.
4 = sin(0 + C)
Sine cannot be greater than 1, so there is no solution.
Answer:
The total amount of sugar used=2/3 of a cup
Step-by-step explanation:
The expression for the total amount of sugar used for the cake is;
T=S+O
where;
T=total amount of sugar
S=amount initially added
O=amount sprinkled over the top
This expression can also be written as;
Total amount of sugar=amount initially added+amount sprinkled over the top
In our case;
S=3/6 cup
O=1/6
replacing;
T=(3/6)+(1/6)=4/6 in its lowest form=2/3
The total amount of sugar used=2/3 of a cup
The answer is C. (3/4, -1/5)
1 1/4-3/4=2/4
1 1/3 - 3/4=7/12
7/8 - 3/4=1/8
then add 7/12+2/4+1/8= 1 5/24
Answer:
Correct option is
B
1.x+0.y=7
x=7 can be written as, 1.x+0.y=7 as the coefficient of x is 1 and that of y is 0. Step-by-step explanation:
