(x) = arcsec(x) − 8x
f'(x) = d/dx( arcsec(x) −
8x )
<span> 1/xsqrt( x^2 - 1) - 8</span>
f'(x) = 0
1/xsqrt( x^2 - 1) - 8 = 0
8 x sqrt (x^2-1) = 1
<span> ( 8 x sqrt (x^2-1) )^2 = 1</span>
64 x^2 ( x^2 - 1) = 1
64 x^4 - 64 x^2 =1
64 x^4 - 64 x^2 - 1 = 0
x = 1.00766 , - 1.00766
<span> x = - 1.00766</span>
f(- 1.00766) = arcsec(-
1.00766) − 8( - 1.00766)
f( - 1.00766 ) = 11.07949
x = 1.00766
f(1.00766) =
arcsec(1.00766) − 8( 1.00766)
f(1.00766 ) = -7.93790
relative maximum (x, y) =
(- 1.00766 , 11.07949 ) relative minimum (x, y) = ( 1.00766 ,
-7.93790 )
Answer:
10
Step-by-step explanation:
So, your equation you have is y = 5x + 253.
They want to know <em>how many total pieces </em>you will have to put together after 45 more minutes.
So, you'll want to insert 45 in for x in the equation. Like so:
y = 5(45) + 253
Now you solve:
y = 225 + 253
y = 478
So this means you will have 478 pieces put together after another 45 minutes. There are 2573 pieces total, yes?
So, you do 2573-478
This equals = 2,095
So this means you'll still have 2,095 pieces to put together. Whew!
Answer:
a=31
Step-by-step explanation:
1/2(a-9)=11
a-9=22
a=22+9
a=31
