Exer. 81-82: When computations are carried out on a cal- culator, the quadratic formula will not always give accurate results if b' is large in comparison to ac, because one of the roots will be close to zero and difficult to approximate. (a) Use the quadratic formula to approximate the roots of the given equation. (b) To obtain a better approximation for the root near zero, rationalize the numerator to change ーb± VF - 4ac 20 to r = 2a ーb VF - 4ac and use the second formula. 81 x? + 4,500,000x – 0.96 = 0 82 x? - 73,000,000x + 2.01 = 0

Q: Find the Fourier series of the function: f(x)={0,−1≤x≤0x,0<x≤1.

A:

Q: Find the Fourier series of the function { 0, 0 < x < T, f(x) 1, -T < x < 0.

A:

Q: find the fourier series of f(x) = x^2  in the interval [0,2pi]

A:

Q: Find the Fourier Series for the - 1/2 < x< A/2 f(x) = { a / 2 < x < 3t / 2

A:

Q: Find the Fourier series of the function f(x) = (-4, 4, - π < x < 0 0<x<π

A: Given function, f(x)=-4,-π&lt;x&lt;04,0&lt;x&lt;π The objective is to find the Fourier series of the…

Q: A function f(t) with a period of 2*pi is 1 when t is from -pi to 0 and is -1 when t is from 0 to pi.…

A:

Q: Q3. Find the Fourier series for the function: f(x)=[x² for π² 1 6+ + + +... 6 1² 2² 3² = 0<x<27]…

A: Introduction: When a function is periodic, it must have an infinite series representation. This…

Q: 1. DE (initial conditions) 2. Existence and unique theorem 3. Determine if a given function is…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 3/ Determine the Fourier series of the function shown. y=2 2- 2 -27 2т х 0 27

A:

Q: determine the Fourier series expansion coefficients ᾀo, ᾀn, bn for the periodic signal, and write…

A: determine the Fourier series expansion coefficients ᾀo,  ᾀn, bn for the periodic signal, and write…

Q: Determine the positive real root of ln(x2)=0.7 a. graphically b. using three iterations of the…

A:

Q: : Find Fourier Series of the Function: -K f(x) = { k -π<x<0 0 < x <π K

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy…

Q: Expand the function f(x) = 2e-2 in a complex Fourier series over the interval -n<x<n. Do this…

A: here is a function f(x)=2e-2x over the interval (-π,π) by using Euler's formula f(x)=a02+∑n=1∞(ancos…

Q: B/ Find the Fourier series of the function f (X) = x +n within the range -n < x < n

A:

Q: -7<Xく -% -%くxく 0 0<ズく% %くズく fea)= a + 2X N -2ズ fex) = -1<ズくO 0くXく1 b) |3|

A:

Q: find the fourier series expansion of the function x+x^2 in [-pi,pi]

A: the function is given byf(x) = x+x2 ; -π,πto evaluate:the fourier series expansion of the function.

Q: Write Fourier series for the function y=4n-k T≥X≥0

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

Q: 7. Find the complex Fourier series of the given function f on the given interval, f (t) = e-2 lzl. <…

A:

Q: 0 < x < 4 fex +b if 4c +b 4 < x< 8 f(x)=.

A:

Q: Q (3)- Find Fourier series for the function: for - 2 <t<0 for 8. f(t) I| -8- 0 <t<2

A:

Q: 0<x <n nd a Fourier series and deduce the values of the series. 1+ 32'52' 72

A:

Q: solve for the Fourier series f(x)=x^2 in (-1,1)

A:

Q: Find the euler constant from Fourier series

A: Solution:Let f(x )be a periodic function arith period πthen it's Fourien series Expansion…

Q: 7. Find the Fourier cosine coefficient corresponding to n = 4 , a4, of the Fourier series…

A:

Q: The Fourier series for the function f (x)=7x', -7<x<a contains Select one: а. only sine terms b.…

A: f(x) = 7x3 ,  -π&lt;x&lt;π

Q: Find the Fourier series to represent a function of а.) f (x) = x + 1, - 2 < x < 0, = 1, 0 < x < 2

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: QCHW): Find the Fourier Series of the periodic function de fined as

A:

Q: Find Fourier Series of the Function: -K f(x) = {-k -π<x<0 0 < x < π K

A:

Q: 2. (a) Find the Fourier series for the function f(t) = t² on the interval [-7, 7].

A: Given the function  ft=t2, -π,π

Q: Fin d Fourier series Fct) A (t) II - A HN

A: The given problem is to find the Fourier series for the given graphical function, we have to find…

Q: Find the Fourier series for f(x) = -1 (-n < x < 0) and = 2 (0 <r < T).

A:

Q: (b) Fourth-order Adam's Method Use previously computed values at ri-3 = -2.306160, yi-1 =-0.3929953,…

A: Given differential equation is dydx=4e0.8x-0.5y with initial condition y(x0)=2, 0≤x≤4 step size h=1…

Q: 1. Fl the fourier series representing, f(x)=x, 0<x< 2 and sketch its graph from x =-4 to x=4n.

A:

Q: Which series helps us to derive the discretized form of the governing equations? a. Taylor series b.…

A: (a) Taylor series expansion is normally used to discretise governing equations.

Q: Find the Fourier series coefficients of the signal.

A: Given the signal xt=1+12cos2πt+14sin4πt To find the coefficients of signal.…

Q: Determine the Fourier coefficients and represent the periodic function as shown by a Fourier series.

A:

Q: (a) Find the Fourier series of the function (x) = 1 – |x|, -2 < x< 2 (b) Hence prove that 1+

A: Given : function         fx=1-x  ,  -2&lt;x≤2 (a) To find : Fourier series of the function above (b)…

Q: Find the Fourier series to represent a function of a.) f(x) = x + 1, - 2 < x< 0, = 1, 0 <x< 2 in the…

A: By Bartleby policy I have to solve only first one as these are unrelated &amp; lengthy…

Q: : Develop f (x) in the Fourier series, if defined as: (i): f (x)= 6xsin 5x, – n < x < n.

A: We will find out the required Fourier series.

Q: Find the Fourier series representing f (x) = x, 0<x<2n and sketch its graph from x = -4π to x 4 T.

A: find fourier  series

Q: 2. Find the Fourier series for the function f(x)= (n – x)² in -n <x < A.

A:

Q: {: (z) -T <I<0

A:

Q: Find the Fourier series and the Fourier coefficients. I - X, 0<x<T f(x) = 0. 1<x < 27, and has a…

A:

Q: 7. Find the Fourier cosine coefficient corresponding to n = 4 , a4, of the Fourier series…

A: Given function is fx=cos4x, -π≤x≤π.

Q: Expand the function shown as a Fourier Series: f(x) 27

A:

Q: 2. Consider the function f(x) = 1 -x on the interval [0, 1]. a) In two separate graphs, sketch i)…

A:

Q: Determine the Fourier series for the function shown. TC

A:

Q: Q2: find the Fourier series for the equations 2

A: Fourier series of the function

Q: f(«) = {_;, Os: Find the Fourier series of the periodic function. 0 <x <T I<x< 2n

A: