A fund is created by making equal monthly deposits of P4,000 at 9% converted monthly for half a year.  Find the following:   Question 18 options:   amount in the fund after the 4th deposit.   the sum after half a year   periodic  rate of interest   total number of conversion/compounding periods.   periodic deposit   1. 0.75 2. 0.0075 3. 6 4. 1/2 5. P24, 454.53 6. P16, 180.90 7. P4,000.00

Q: H=40cm 3 A in --->

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Q: lim

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A: here we can use the properties of continuous functions.

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A: Using induction method we have to prove that 3n^2 +1is divisible by 4 where n is odd number.

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A: We use definition of linear transformation.

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Q: VI el es e2 eq S U2 e3 V5 e6 VA FIGURE 1 eA es V3 V9. Ug Vo V5 VI V7 FIGURE 2 VA V6 V2 V3

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Q: the value of the sum

A: Given,         ∑j=082·3j+3·2j

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Q: 2. Prove that lim = = using the e-d-definition. I-4 I Hint: Consult the proof of lim x² = 4 from…

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A: This is a problem of the system of differential equation.

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A: Ju

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A: Using the given figure we write each vector listed as a linear combination of u and v .

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Q: y= For the function=4sin(2(x-3))+1 amplitude minimum maximum match the following: a. 5 b. -3 C. 4

A: The amplitude is half the distance between the max and the min,    amplitude =12 (max - min)

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Q: 9. dy 在 2 1+y²

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A: This is the question from finite math.

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A: The given form of mathematical inductions are: (1). If P1 is true, and Pn implies Pn+1 for all n∈ℕ,…

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Q: Create a third order, non-linear Ordinary Differential Equation with enough initial values to be…

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A: We have to find value of h &amp; w for maximum Area.

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.