Answer:
The product (–5)(–3)(–8)(–6) should be Positive.
Step-by-step explanation:
The product of 2 negative numbers equal a positive product.
N * N = P
-5*-3=15
-8*-6=48
The product of 2 positive numbers is positive.
P * P = P
15 * 48 = 720
Your answer should be: Positive because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive.
If the given differential equation is
![\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1](https://tex.z-dn.net/?f=%5Ccos%5E2%28x%29%20%5Csin%28x%29%20%5Cdfrac%7Bdy%7D%7Bdx%7D%20%2B%20%5Ccos%5E3%28x%29%20y%20%3D%201)
then multiply both sides by
:
![\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)](https://tex.z-dn.net/?f=%5Csin%28x%29%20%5Cdfrac%7Bdy%7D%7Bdx%7D%20%2B%20%5Ccos%28x%29%20y%20%3D%20%5Csec%5E2%28x%29)
The left side is the derivative of a product,
![\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%3D%20%5Csec%5E2%28x%29)
Integrate both sides with respect to
, recalling that
:
![\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%5C%2C%20dx%20%3D%20%5Cint%20%5Csec%5E2%28x%29%20%5C%2C%20dx)
![\sin(x) y = \tan(x) + C](https://tex.z-dn.net/?f=%5Csin%28x%29%20y%20%3D%20%5Ctan%28x%29%20%2B%20C)
Solve for
:
.
Step-by-step explanation:
Marla drove 567
Gudio drove 560
The trip was 679
Um there’s no question here lol so free points?
Answer:
-1
Step-by-step explanation:
mn = -3 because 3 × -1 = -3
p^2 = 4 because 2^2 = 4
Then 4 + -3 = -1