Answer:
Answer:

Step-by-step explanation:
Give letters, as in the attached image.
The triangles ABE and CDE are similars (AAA). In particular 
Answer:
y = 4 sin(t/2 + 4π/3) − 2
Step-by-step explanation:
General form:
y = a sin(2π/T t)
Given a = 4 and T = 4π:
y = 4 sin(2π/(4π) t)
y = 4 sin(t/2)
Add horizontal shift of -4π/3 and vertical shift of -2:
y = 4 sin(t/2 − (-4π/3)) − 2
y = 4 sin(t/2 + 4π/3) − 2
3(x-7)+8=-20
Multiply the bracket by 3
(3)(x)(3(-7)+8= -20
3x-21+8= -20
3x-13= -20
Move -13 to the other side. Sign changes from -13 to +13.
3x-13+13= -20+13
3x= -7
Divide by 3
3x/3= -7/3
x= -7/3 or in mixed number : -2 1/3
Answer : x= -7/3 or in mixed number : -2 1/3
It is hard to comprehend your question. As far as I understand:
f(x,y) = e^(-x)
Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.
That is all I understood. It would be easier to understand with a picture or some kind of visual aid.
Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

Now evaluate,

which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.
Now integrate this w.r.t. y:

So,

Answer:
Step-by-step explanation:
This question is a bit sloppy. In higher math courses it would not be permitted. I'll give you the general rule that applies to this question -- sort of.
If you have a triangle that hast angles of 100 50 and 30
The largest side will be opposite the 100 degree angle.
The smallest side will be opposite the 30 degree angle.
So for the question, you are intended to say that CD > AB because CD is opposite a 43 degree angle and AB is opposite a 40 degree angle.
So the answer is Since 43 > 40 then CD>AB