Answer:
The volume of the ball with the drilled hole is:
Step-by-step explanation:
See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:
Then we set the integral for the volume by using shell method:
That can be solved by substitution:
The limits of integration also change:
For x=5: 
For x=15: 
So the integral becomes:
If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:
Then applying the basic rule we get:
Since that is just half of the solid, we multiply by 2 to get the complete volume:
Value of the boat after 9 years= 12050*(1-0.12)^9
=$3814(correct to nearest integer)
9514 1404 393
Answer:
- 14/9
- -3.6
- 5/4
- 11/2, 7/8, 5/18
Step-by-step explanation:
1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9
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2. x = (9.82 -28.18)/5.1 = -3.6
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3. y = 3/2 -1/4 = 5/4
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4a. t = 2(3 -1/4) = 11/2
4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8
4c. x = (11/3 -2)/6 = (5/3)(1/6) = 5/18
Answer:
A
Step-by-step explanation:
Try testing each graph by picking a point on the shaded region or none shaded region.
-1/5 and 6= y-intercept
4/5 and 2= slope
You may notice that it is in y-intercept form. So to find where the shaded region goes, test a coordinate and apply it to the equation, if the answer is false, than half of the line is not where the shaded region goes.
Answer:
500(10) + 600(2)
Step-by-step explanation:
