A dog takes 3 steps to walk the same distance for which a cat takes 4 steps. If 1 step of the dog covers 1/2 door how many feet
1 answer:
Answer:
9 feet will the cat cover on 24 steps.
Step-by-step explanation:
Given: A dog takes 3 steps to walk the same distance for which a cat takes 4 steps.
⇒ 3 steps of dog=4 steps of Cat
If 1 step of the dogs cover feet
then,
4 steps of cat=3 steps of dog
24 steps of cat==18 steps of dog
Also, 1 step of the dogs cover= feet
18 steps of the dogs cover=9 feet
therefore, 24 steps of cat will cover 9 feet .
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Then r' = (1, 2t, 3t^2)
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The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector
Fortunately, this simplifies nicely with a 'u' substitution.
Let u = 1+4t^2 +9t^4
du = 8t + 36t^3 dt
After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
Then r' = (1, 2t, 3t^2)
General Line integral is:
The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector
Fortunately, this simplifies nicely with a 'u' substitution.
Let u = 1+4t^2 +9t^4
du = 8t + 36t^3 dt
After integrating using power rule, replace 'u' with function for 't' and evaluate limits: