12. In 1966, a Miami boy smuggled three Giant African Land Snails into the country. His grandmother eventually released them into the garden, and in seven years there were approximately 18,000 of them. The snails are very destructive and need to be eradicated. ismo niwollot ensvanoi o fono a) Assuming the snail population grows exponentially, write an expression for the population, p, in terms of the number, t, of years since their release. b) What would the snail population be in 1999?

Q: 2a) The population of a village was 40 at the beainning of 200. The doğ 2003.' AsSuming an)…

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Q: QUESTION 4 Simplify log 8*+ 1 a. 8 b. C. d. x +1 a) b) c) d) МacВook Air OOOO

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Q: 7) Condense logó + log 8– log2. log7 c. log 12 a. b. log 96 d. log 24

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Q: e. If log„(1944) = log, (486v2), find the values of n³.

A: log2n(1944) = logn(486√2) log1944/log2n = log(486√2)/logn (log1944)*log(n) = (log2 +…

Q: (ii). A girl spends of her pocket money on snacks and 7. of what 8. is left on clothes. If she has…

A: (1) Let pocket money is x, then money spent on snacks = 37x Now,  Money spent on clothes =…

Q: If log x=0.3 Find the value of log, x√√x X log, x√√x = 0.45 Option 1 log, x√√x = 4.5 Option 3 log,…

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Q: If log,, 2,log,o (2" – 1) and log,o (2* + 3) are in A.P then find thę yalue of x.

A: Topic = Sequence

Q: 10. Write an equation for each of the exponential functions shown below. The base graph is y = 2*.…

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Q: 14. Evaluate log₂ (16 a. -12 b. 8 C. d. 6 -4

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Q: How many distinct 4-letter words can be formed from the word LOGAZBU if Z is to be used OR all…

A: The word is LOGAZBU.

Q: 8. Write as a single logarithm with and simplify if possible a. log, 5+log,4– log, 20 b) In50–In5

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Q: 9. Solve. log,(x- 3)+ log,(x+ 4) = 3

A: The objective is to solve.

Q: = a and log5 2 = b then log5 216 can be expressed as pa + gb. The value of (nearest whole number)…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.