Reflections and translations are instances of transformation.
<em>The rule of function g for the given reflection and translation is </em>
<em />
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Given
<u>The rule of translating 5 units up is:</u>
So, we have:
<u>The rule of reflecting about the y-axis is:</u>
So, we have:
Hence, the rule of function g is:
Read more about function transformations at:
brainly.com/question/13801312
For example:
L plus W
3 plus 6= 9
I plus W
4 plus 6= 10
total: 9+10= 19
(this is just an example)
F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt
As integral of tan u = - ln (cos (u)), you get :
integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer
Answer:
9
Step-by-step explanation:
First, find <em>x</em>. Since <em>x</em> is the average of the three number, add the three up and then divided by three. Thus:
<em>y</em> is the cube root of 8. Thus:
![y=\sqrt[3]{8}=2](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B8%7D%3D2)
So:
Answer:
x = 113
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
37+54+ x-24 = 180
Combine like terms
67+x = 180
Subtract 67 from each side
67-67+x = 180-67
x =113
