Answer:
The particular solution is 
.
Step-by-step explanation:
The given differential equation is
It can be written as
Use variable separable method to solve the above equation.
Integrate both sides.
.... (1)
It is given that y(1)=0. It means y=0 at x=1.
The value of constant is 0.
Substitute C=0 in equation (1) to find The required equation.
Taking sin both sides.
Therefore the particular solution is .
Answer:
x < -22/9
Step-by-step explanation:
(-9x/11) - 7 < -5 (add 7 to both sides)
(-9x/11) < -5 + 7
-9x/11 < 2 (multiply both sides by 11)
-9x < 2(11)
-9x < 22 (divide both sides by -9)
x < -22/9 (answer)
edit: typos galore!
Answer:
Square root property
Step-by-step explanation:
Answer:
The area of the circle is 19.5 in²
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 52 in³
r = radius
h = height = 8 in
π = 3.14
v = 1/3 * π * r² * h
we solve r
3 * v /h * π = r²
we replace the known values
3 * 52 in³ / 3.14 * 8 in = r²
156 in³ / 25.12 in = r²
6.21 in² = r²
√6.21 in² = r
2.49 in = r
now that we have the radius we need to use the area formula of a circle:
a = area
r = radius = 2.49 in
π = 3.14
a = π * r²
we replace the known values
a = 3.14 * (2.49 in)²
a = 3.14 * 6.21 in²
a = 19.5 in²
The area of the circle is 19.5 in²
Answer:
Brother's age = 15
Sister's age = 9
Step-by-step explanation:
