Find the particular solution. y(x): = e* ý =4(2 +2) g®, y(0) = 1 *9

Q: Sze*2dx = 1. This is a difficult integral to compute by standard methods (there's a neat trick…

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Q: Find the function f (x) for which f (x) = e-5x, f (0) = 1.

A: A function is a relation which maps each value in its domain to exactly one value in its range. For…

Q: Evaluate h(2), where h = (gon. s (2) = –ig(2) =?+1 1 f (z) . h(2)

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Q: Let g(t) -t+ Vt and h(t) = 9t + 4. Find the following. %3D g(h(5)) = h(g(4)) - eSC 14

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Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: Over a seven day period (0 <t <7), the number of harmful bacteria in a sample of water from your…

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Q: (b) Consider the non-stationary series {Xt}, Xt=t+St+ €t where St has period 2 and ~ iid(0, ²) and…

A: A non-stationary series Xt is given such that: Xt=t+St+εt where St has a period 2 and εt~iid0,σ2.

Q: (9) Let X b(n,- and E(3x) = E(3-5x) find n.

A: It is an important part of statistics . It is widely used .

Q: =At iteration i=3, b .2 f (x) = x³ – x – 2

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Q: The marriage rate in a certain country in 1990 was 0.95%, and there were about 351,000 marriages…

A: 1990 corresponds to t=0 So, M0= 351000 And r= 0.95% = 0.0095 So the model is:

Q: y = √sin(7x + In(5x))

A: We know that the derivative of x^n=nx^(n-1) So derivative of sqrtx=1/(2sqrtx)

Q: The function is f(x)=0. Find the x value. Compute x for the first iteration. f(x) = e¯* -x+0.63200 =…

A: To apply inverse quadratic interpolation to find the root of the function f(x) = e^(-x) - x + 0.632…

Q: 3. When polluted water begins to flow into an unpolluted pond, the concentration of pollutant, C, in…

A: Given that The concentration of pollutant C in the pond at t hours is modelled by

Q: Let ​f(x)=5x−1 and ​g(x)=x2− 4.   Find ​(f◦​g)(7​).

A: Given      f(x)=5x-1      g(x)=x²-4 We know that (f.g)(x)=f(g(x))

Q: If h(x)=6ex−5, find h′(x).

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Q: - f«) = f(x) = E n=1

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Q: Find g(t)=abt if g(10)=50 and g(30)=25

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Q: Determine the G(s)   g(x)=x3e1/3xsin(5x-j)

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Q: Suppose a person's utility function for items x and y is u = ln(x) + ln(y), and he currently has…

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Q: Find f′(x).   f(x)=(0.3x+6)(0.6x−7)

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