Step-by-step explanation:
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Answer:
(3, 5)
Step-by-step explanation:
Point (3, -5) is 5 units below the x-axis.
After it is reflected, it will be 5 units above the x-axis.
Answer: (3, 5)
If the given differential equation is
then multiply both sides by 
:
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)
Solve for 
:
![\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}](https://tex.z-dn.net/?f=%5Cboxed%7By%20%3D%20%5Csec%28x%29%20%2B%20C%20%5Ccsc%28x%29%7D%3C%2Fp%3E%3Cp%3Ewhich%20follows%20from%20%5Btex%5D%5Ctan%28x%29%3D%5Cfrac%7B%5Csin%28x%29%7D%7B%5Ccos%28x%29%7D)
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Answer:
1. The product of thirty and eight more than fifty-two.
2. Thirty times the sum of eight and fifty-two
Step-by-step explanation:
1) 52+8 (eight more the fifty-two )
52+8 (The product of thirty and eight more than fifty-two.)
2) 52+8 (The sum of eight and fifty-two)
52+8 (Thirty times the sum of eight and fifty-two)
Answer:
60% increase
Step-by-step explanation:
152 - 95 = -57
57 / 95 = 0.6
0.6 x 100 = 60
