Answer:
A≈706.86
Step-by-step explanation:
welcome to brainly
A full rotation is 360 degrees
5/8 x 360 = 225 degrees
5/8 of a full rotation is 225 degrees.
Answer:
The 4th graph
Step-by-step explanation:
To determine which graph corresponds to the f(x) = \sqrt{x} we will start with inserting some values for x and see what y values we will obtain and then compare it with graphs.
f(1) = \sqrt{1} = 1\\f(2) = \sqrt{2} \approx 1.41\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3
So, we can see that the pairs (1, 1), (2, 1.41), (4, 2), (3, 9) correspond to the fourth graph.
Do not be confused with the third graph - you can see that on the third graph there are also negative y values, which cannot be the case with the f(x) =\sqrt{x}, the range of that function is [0, \infty>, so there are only positive y values for f(x) = \sqrt{x}
Your answer would be -1+11p
Hope this helps!
First we have to find the tangent line:
y - y o = f ` ( x o ) * ( x - x o )
f ` ( x ) = 10 x
y - 80 = 40 ( x - 4 )
y = 40 x - 160 + 80
y = 40 x - 80
There are 2 parts of this region:
A =
![\int\limits^2_0 {5 x^{2} } \, dx + \int\limits^4_2 {(5 x^{2} -40x+80)} \, dx= \\ 5 x^{3} /3 \left \{ {{2} \atop {0}} \right. +( 5 x^{3} -20 x^{2} +80x) \left \{ {{4} \atop {2}} \right.](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E2_0%20%7B5%20x%5E%7B2%7D%20%7D%20%5C%2C%20dx%20%2B%20%20%5Cint%5Climits%5E4_2%20%7B%285%20x%5E%7B2%7D%20-40x%2B80%29%7D%20%5C%2C%20dx%3D%20%5C%5C%205%20x%5E%7B3%7D%20%2F3%20%20%5Cleft%20%5C%7B%20%7B%7B2%7D%20%5Catop%20%7B0%7D%7D%20%5Cright.%20%2B%28%205%20x%5E%7B3%7D%20-20%20x%5E%7B2%7D%20%2B80x%29%20%5Cleft%20%5C%7B%20%7B%7B4%7D%20%5Catop%20%7B2%7D%7D%20%5Cright.%20%20)
A = 40/3 + 320/3 - 320 + 320 - 40/3 + 80 - 160 = 320/3 - 240/3 =
80/3