Explain the difference between the translation of y=x² for the graphs of y=(x+3)² and y=x²+3.
1 answer:
Answer:
y=(x+3)^2 has a vertex at (-3,0), while y=x^2 + 3 has a vertex at (0,3)
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Step-by-step explanation:
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Answer:
Therefore, the solution is:
![\boxed{\int \sin 7x\, dx=-\frac{\cos 7x}{7}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cint%20%5Csin%207x%5C%2C%20dx%3D-%5Cfrac%7B%5Ccos%207x%7D%7B7%7D%7D)
Step-by-step explanation:
We calculate the given integral. We use the substitution t = 7x.
![\int \sin 7x\, dx=\begin{vmatrix} 7x=t\\ 7\, dx=dt\\ dx=\frac{dt}{7} \end{vmatrix}\\\\=\int \sin t \cdot \frac{1}{7}\, dt\\\\=\frac{1}{7}\cdot (-\cos t)\\\\=-\frac{\cos 7x}{7}](https://tex.z-dn.net/?f=%5Cint%20%5Csin%207x%5C%2C%20dx%3D%5Cbegin%7Bvmatrix%7D%207x%3Dt%5C%5C%207%5C%2C%20dx%3Ddt%5C%5C%20dx%3D%5Cfrac%7Bdt%7D%7B7%7D%20%5Cend%7Bvmatrix%7D%5C%5C%5C%5C%3D%5Cint%20%5Csin%20t%20%5Ccdot%20%5Cfrac%7B1%7D%7B7%7D%5C%2C%20dt%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B7%7D%5Ccdot%20%28-%5Ccos%20t%29%5C%5C%5C%5C%3D-%5Cfrac%7B%5Ccos%207x%7D%7B7%7D)
Therefore, the solution is:
![\boxed{\int \sin 7x\, dx=-\frac{\cos 7x}{7}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cint%20%5Csin%207x%5C%2C%20dx%3D-%5Cfrac%7B%5Ccos%207x%7D%7B7%7D%7D)
Answer:
there is only one solution
3x - 1 = 2x
x - 1 = 0
x = 1
Answer:
Y = X - 2 would be the answer.
Answer:
Step-by-step explanation:
4/5
1/2
Answer:
brainliest plz
Step-by-step explanation: