Answers:
(2) Option (B) 4
(3) The answer is: +1
Explanations:
(2) The plus sign in the limit indicates that it is the right hand limit. So we have to approach to 2 from the right side of the graph. When we do that, we see the value of y = +4. Hence the correct option is (B) 4
NOTE: Although the question seems complex because there is slope involved but in this particular case, the examiner is concerned about the right hand limit.
(3) The minus sign in the limit indicates that it is the left hand limit. So we have to approach to 3 from the left side of the graph. When we do that, we see the value of y = +1. Hence the correct answer is +1.
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Answer: 30 cm
Step-by-step explanation:
The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.
From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus 
the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of 
.
Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.
The ABKJ is a trapezoid so it's area is 
. Thus the volume of the right prism is 
. This gives us 
, and thus h = 30 cm.
Answer: This problem is all mixed up. There is no way to solve it with it like this.
Step-by-step explanation:
