Calculate the residue of eZ.e-5=0

Q: Q. 3. Let yt be the (log) price of a particular stock and mt he log of the market index (for the…

A: Given, yt and mt be the stock price and market index respectively. Co-integration is the presence of…

Q: 1. GE = 2x – 7 and GF = x + 4. What is GD?

A: Given figure is: In △GBF and △GBE, we have ∠GFB=∠GEB                    Each 90°∠FBG=∠EBG…

Q: Ive for æ if In(x? – 1) = 0.

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Q: 5 4 d.x x2/3 Evaluate I = 1 – x²

A: Indefinite integration

Q: Begin by writing the function as the sum of two natural exponential terms of the form e", x9ª 1 + e…

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Q: Find e for A = 1 -1 1 2 34 002

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Q: Solve for "x" 8 我多 A-01 15 3 2 23 收 2/9 12 x39

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Q: 3. Show that Z, -

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Q: log, V4 = ОЗ

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Q: Show that b) logi = (2n + 2) ri лi (n = 0, ±1, ±2, ...);

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Q: If log₂ (6x + 6) = 2, then x

A: We need to find the value of 'x' using the given expression: log26x+6=2

Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,

Q: 25n n"

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Q: Differentiate.

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Q: log x+ log(x²/y) + log(x³/y²)...... to n terms

A:

Q: f(x) = 2x? + 2x + 4 a) Find f'(x). 4x+2 b) Identify the graph that displays f in blue and f' in red.…

A: Here, the given function is: f(x)=2x2+2x+4...(1)      =2x2+x+14-12+4      =2x+122+72

Q: Find x. 3. 15

A:

Q: 6. Find the value of x in the equations listed below. a. log,(x + 1) = 7 b. e* = 712 c. 2.6* = 4**1…

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Q: Log(1 – iV3)² = a. 2Log(1 – iv3) b. Log(1+ iV3) c. 2Log(1 + iV3) с. d. None of these

A: Given: Log1-i32

Q: -3 -5 2 -3 -5 2 d. Suppose that E4 -2 -3 -3 -4 -6 -6 4 -4 4 -4 Find E4 and E,'. E4 = 3. II 3.

A: Given: E4-3-52-2-3-343-4=-3-52-4-6-643-4

Q: Simplify the following expression. x2 d. dt dx 2+ 16

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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.