The range will be all ur y values...just as the domain is all the x values
so ur range is {5,6 }...notice that even though they repeat, u only have to list them once
Answer:
Step-by-step explanation:
y = -14, m = -2, b = -2
-14 = -2(x) + -2
-14 = -2x + -2
-12 = -2x
Divide by -2.
x = 6
Answer:
x = 85/60 or 17/12
Step-by-step explanation:
4/5 - 3/10 = x + 11/12
=> 8/10 - 3/10 = x + 11/12
=> 5/10 = x - 11/12
=> x - 11/12 = 5/10
=> x = 5/10 + 11/12
=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5
=> x = 30 / 60 + 55/60
=> x= 85/60
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Using the disk method, the volume would be
That is, you split up the solid into disks of some small height ∆<em>x</em>, and each disk has radius at point <em>x</em> equal to the distance (√(<em>x</em>)) from the axis of revolution (the <em>x</em>-axis, <em>y</em> = 0) to the curve <em>y</em> = √(<em>x</em>). The volume of such a disk is then <em>π</em> (√(<em>x</em>))² ∆<em>x</em>. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆<em>x</em> with d<em>x</em> and the sum with the integral.