Answer:
Step-by-step explanation:
If the radius of a cylinder is increased by 20% and its height is decreased by 10%.
To find : What is the percentage change in the volume?
Solution :
Let r be the radius of cylinder is increased by 20%
i.e,
The old radius is 5 and new radius is 6.
Let h be the height of cylinder is increased by 10%
i.e,
The old height is 10 and new height is 11.
The volume of old cylinder with r=5 and h=10
The volume of new cylinder with r=6 and h=11
Volume change is
Percentage change is
Therefore, The percentage change in the volume is 6.4%.
4.0
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Answer:
See explanation
Step-by-step explanation:
In triangles AKU and AVP,
- Angles AKU and AVP are congruent as inscribed angles subtended on the same arc PU
- ∠KAU and ∠VAP are congruent (actually these are the same angles).
AA similarity theorem: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
By AA similarity theorem, ΔAKU and ΔAVP are similar.
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim(h tends to 0 ) 
= lim ( h to 0 ) 
= lim ( h to 0 ) 
= lim( h to 0 ) 
= lim( h to 0 ) 
= lim ( h to 0 ) 
← cancel h on numerator/ denominator
= lim ( h to 0 ) 4(2x + h) ← let h go to zero
f'(x) = 8x
The answer is A. C=0 and + = 3
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