Answer:
θ = 2π/3 or 5π/3
Step-by-step explanation:
2 cosθ + 1= 0
when + 1 goes to R H S Side than it becomes negative by transposition method
2 cos = -1
now by dividing by 2 both sides we get
cosθ = -
since cosθ is negative
Cosθ = - cos 60°
it means either cosθ lies in 2nd or third quadrant
θ = π - π/3
or
θ = 2π- π/3
so θ = 2π/3 or 5π/3

Let
, so that
:

Now the ODE is separable, and we have

Integrating both sides gives

For the integral on the left, rewrite the integrand as

Then

and so


Given that
, we find

so that the particular solution to this IVP is

The area is 120/(1/4) or 120 x 4 or 480 square inches
the width is 6/(1/2) or 6 x 2 or 12 inches
to find the length, divide the area by the width
480/12= 40
40 inches
Hope this helps :)
1.) Find the area of the circle:
• Formula: A=pi•r^2
- To find the area of a circle, we need to have the radius, and since the diameter is 2x the length of the radius, the radius is 1/2 of the diameter.
Finding the radius: r=d/2
r=12/2
r = 6.
- Now that we know that r=6, we can substitute it into the formula:
• A=pi•r^2
A=pi•(6)^2
A=113.097
- The area of the circle is 113.097ft.^2. We know that a square foot is $10.50. So, we have 113.097 square feet at $10.50/sq. foot. This means that we will add $10.50 113.097 times. Therefore:
113.097 • 10.50 = 1,187.518
So, total, it will cost $1,187.518
Feel free to give Brainliest!!!
Answer:
24 es la b espero que te sirva