Answer:
Identity is verified.
Step-by-step explanation:
We have to verify the identity 
To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.
In this identity we take the left hand side first
(as we know cos(a+b) = cosa×cosb-sina×sinb)
= - sinx ( Right hand side)
Hence identity is proved.
The rectangle with maximum area will actually be a square.
Each side will be of length 7/4 = 1 3/4.
Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
9514 1404 393
Answer:
C. (9, 18)
Step-by-step explanation:
Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...
(9, 15)
Then the translation up by 3 will give you the image coordinates ...
(x, y) ⇒ (x, y+3)
(9, 15) ⇒ (9, 15 +3) = (9, 18)
The coordinates of R' are (9, 18), matching choice C.
_____
<em>Comment on multiple choice answers</em>
As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.
Answer:
336
Step-by-step explanation:
