4. A frog is at the bottom of a 17-foot well. Each time the frog leaps, it moves up 3 feet. If the frog has not reached the top of the well, then the frog slides back 1 foot before it is ready to make another leap. How many leaps will the frog need to escape the well? 5. The number of ducks and pigs in a field totals 35. The total number of legs among them is 98. Assuming each duck has exactly two legs and each pig has exactly four legs, determine how many ducks and how many pigs are in the field.

Advanced Engineering Mathematics
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ISBN:9780470458365
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4. A frog is at the bottom of a 17-foot well. Each time the frog leaps, it moves up
3 feet. If the frog has not reached the top of the well, then the frog slides back
1 foot before it is ready to make another leap. How many leaps will the frog
need to escape the well?
5. The number of ducks and pigs in a field totals 35. The total number of legs
among them is 98. Assuming each duck has exactly two legs and each pig has
exactly four legs, determine how many ducks and how many pigs are in the
field.
Transcribed Image Text:4. A frog is at the bottom of a 17-foot well. Each time the frog leaps, it moves up 3 feet. If the frog has not reached the top of the well, then the frog slides back 1 foot before it is ready to make another leap. How many leaps will the frog need to escape the well? 5. The number of ducks and pigs in a field totals 35. The total number of legs among them is 98. Assuming each duck has exactly two legs and each pig has exactly four legs, determine how many ducks and how many pigs are in the field.
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