t is observed that a certain bacteria culture has a relative growth rate of 13% per hour, but in the presence of an antibiotic the relat co 8% per hour. The initial number of bacteria in the culture is 29. Find the projected population after 24 hours for the following conc nearest whole number.) (a) No antibiotic is present, so the relative growth rate is 13%. bacteria

Q: f(x) = { ² 1 - 0 < x < ² 1, -π X < 0 -1,

A:

Q: Represent the function below as Fourier Series: y -1

A: From the graph, we have function f(x)=2xπ,        0≤x≤π2-2xπ+2, π2≤x≤3π22xπ-4,     3π2≤x≤2π Let the…

Q: Q2 (a) Explain the difference between even and odd Fourier series function.

A: First of, we know about Odd numbers are : 1,3,5,7,….. Even numbers are: 2,4,6,8,…..   =&gt;…

Q: 1. use two iterations to find the solution of the equation In(x) – cosx = 0 With the estimated…

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Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…

A: In this question, we solve the initial value problem by using the Laplace transform and properties…

Q: Expand f(x) =5xas a half-range Fourier sine series in the range 0 < x<T, and sketch the function…

A: See the attachment

Q: Find the third iteration value of an extremum (maximum/minimum value) of the image, if a = 5, b =…

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Q: What is the photon frequency (Terahertz = 1012 Hz) needed to move an electron in 1 to a higher…

A: We will find out the required value.

Q: Q1) Use explicit finite difference method to solve the following differential equati

A: answer is in next step

Q: Find te equation of tle live of infer tedion of twu plene 2X-1y+2=4.

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Q: 5) Use the simple fixed point iteration method to find a root of the equation: x³ = cos x with…

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Q: e^x function decompose into fourier series between (0,π)

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Q: 0, -T < x < 0 f (x) : sin x, 0 < x < T

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Q: Q1: Find with sketch the Fourier coefficients and Fourier series of the function f(x) defined by…

A:

Q: Apply Newton’s method twice to approximate 7^(1/3) . Use the initial approximation xsubscript 0=2

A: We have to use the Newton Raphson method to approximate the value of the expression 713. We have to…

Q: 3. A body is moving in simple harmonic motion with position s(t) = 3 + 2sin4nt. At what time in the…

A: s(t)=3 + 2 sin4πts'(t)=0+2 cos4πt (4π)s'(t)=8π cos4πts'(t)=08π cos4πt=0cos4πt =04πt =π2, 3π2,…

Q: Q5): By using Fourier series solve the period below: -2, -2 <t<0 f (t) = 2, () <t < 2 If the…

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Q: Determine the half-range sine series for the function defined by: x, 0<x < f(x) = 0, %3D <x < T 2-

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Q: Determine the Fourier Series of the function below: * X, 0 < x < T | f(x) = { π < x < 2π, = π, and…

A: Given that  fx=x,0&lt;x&lt;ππ,π&lt;x&lt;2π with period 2π. Fourier series for any function:…

Q: Find the half-range sine series of f(x) = ex on [0, 1]

A: The half-range sine series of a function f(x) on an interval 0,a is given by, fx=∑n=1∞ bn sinnπxa…

Q: The displacement in simple harmonic mo- tion is a maximum when the 1. velocity is a maximum. 2.…

A: The displacement in simple harmonic mo tion is a maximum when the ............

Q: 3+ cos (8x) Perform a test to determine if x converges. 1/8 2 dx x/8 (Type an exact answer, using n…

A:

Q: Q1: Find with sketch the Fourier coefficients and Fourier series of the function f(x) defined by…

A: Introduction: A Fourier series is a sum of sine and cosine waves that represents a periodic…

Q: 2. (a) Find Fourier Series representation of the function with period 27 defined by f(t)= sin (t/2).

A: Sol (a) Fourier series of function fx on interval -L≤ x≤ L is defined as: fx=A0+∑n=1∞…

Q: Find the fourth iteration value of an extremum (maximum/minimum) value of the image if a = 4, b =…

A: For the given values of a, b and c, we get, f(x)=4cos1.5x+2x-3

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (-) < 0, ƒ (x) has a root in [0, 1]. To…

A:

Q: Q: Find the Fourier series of the function in the defined period: y = |3 – x| ,-4 > x < 4

A: Given function is y=f(x)=|3-x|, -4≤x≤4 The Fourier series of the function f(x) in interval -L≤x≤L is…

Q: Q. Find an approximate root accurate to at least 10 of the following nonlinear equation Vx - cos x =…

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Q: ) Find Fourier series of the periodic (T = 2T) function f(x) = x² ,- n < x < n

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Q: 1. Determine one real root of the equation e* E = 0 using Fixed Point Iteration with ao = 0 until…

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Q: Find the Fourier series to represent the function in period x=-pi, x-pi for the following function *…

A: The Fourier series of given function is given as follows :

Q: 2. Compute for a real root of 2 cos a – sin Va = + accurate to 4 significant figures using…

A: In numerical analysis, fixed-point iteration is a method of computing fixed points of a function.…

Q: 1. Determine one real root of the equation e* I = 0 using Fixed Point Iteration with ro =0 until %ER…

A:

Q: The velocity of a particle moving back and forth on a number line is ds = 3 sin(3t) dt for all…

A:

Q: :Q6-. Find the Fourier series for the function below S 0, -A < x < 0 S (æ) = { f(x) and has period…

A:

Q: 5. Find the term representing the third har- monic for the periodic function of period 27 given by:…

A:

Q: 8+ cos (9x) Perform a test to determine if -dx converges. 1/9 9 dx 1/9 (Type an exact answer, using…

A: Solution:- It is given that ∫π9∞8+cos(9x)x2dx is converges. we have to calculate ∫π/9∞9dxx2=?

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, f(x) has a root in [0, 1]. To…

A: We have here g(x)=(13)(1+cos(x)) fix point iteration formula is xn=g(xn-1) we are given x0=0

Q: Consider the function f(x) = cos x − 3x + 1. Since f (0)ƒ () <0, f(x) has a root in [0, 1]. To solve…

A: Given that                      f(x)=cos x-3x+1   equivalent equation                   x=131+cos x…

Q: 1. Use Newton-Raphson method to find sixth iteration of a real root of the equation: cosx-xe* =0…

A: Formula Used: xn+1 = xn - { f(xn) / f'(xn) } .

Q: A certain vehicle can accelerate from a standing start to a speed of v(t) = -0.21t2 + 16t feet per…

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Q: Q2: Differentiate twice the following equation and draw the result on the same figure as an array…

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Q: Use the simple fixed point iteration method to find a root of the equation: x power 3 = − cos x with…

A: Given problem is : Use the simple fixed point iteration method to find a root of theequation: x…

Q: A mass suspended from a spring is pulled down a distance of 2 ft from its rest position, as shown in…

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Q: 5. Find the term representing the third har- monic for the periodic function of period 27 given by:…

A:

Q: Consider the function f(x) = cos x - 3x + 1. Since f (0)f () <0, f(x) has a root in [0, 1]. To solve…

A:

Q: Q4: A. Find The Fourier series for the function defined by 2k * (x) if 0 <x <; f (x) = 2kx Tl-x) if…

A: