Answer: 1/30
Step-by-step explanation:
∫[0,4] arcsin(x/4) dx = 2π-4
x = 4sin(u)
arcsin(x/4) = arcsin(sin(u)) = u
dx = 4cos(u) du
∫[0,4] 4u cos(u) du
∫[0,4] f(x) dx = ∫[0,π/2] g(u) du
v = ∫[1,e] π(R^2-r^2) dx
where R=2 and r=lnx+1
v = ∫[1,e] π(4-(lnx + 1)^2) dx
Using shells dy
v = ∫[0,1] 2πrh dy
where r = y+1 and h=x-1=e^y-1
v = ∫[0,1] 2π(y+1)(e^y-1) dy
v = ∫[0,1] (x-x^2)^2 dx = 1/30
Answer:
First step
Step-by-step explanation:
Subtract the 4 to the other side making the equation
(12x+8)+4=3
12x+8=-1
12x=-9
x=-3/4
Answer:
i'm confused if you know why are you asking
Step-by-step explanation:
Answer:
y= -x
Step-by-step explanation:
<u>slope- intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -1, m= -1.
Substitute m= -1 into the equation:
y= -x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 2, y= -2,
-2= -2 +c
c= -2 +2
c= 0
Thus, the equation of the line is y= -x.
The correct answer would be A. There is only a 1/8th percent chance of the spinner landing on 4.
