The question is on the picture
2 answers:
The best thing to do for this problem is to split the entire gasp into separate parts. It's easiest to draw the separate shapes out. I'll provide a picture for you, showing what I mean.
If you follow along with the image provided it should explain everything!
It's always nice to do things visually, it really helps to have more accuracy! Trust me! I'm not a mental math kind of girl.
(Your volume will be 406.)
Volume of entire shape= 406 cm^3
Now this should be the answer!
Hope this helps. If you have any questions let me know! :)
If you follow along with the image provided it should explain everything!
It's always nice to do things visually, it really helps to have more accuracy! Trust me! I'm not a mental math kind of girl.
(Your volume will be 406.)
Volume of entire shape= 406 cm^3
Now this should be the answer!
Hope this helps. If you have any questions let me know! :)
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Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral
The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.
125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75