7. Determine a root of the polynomial function given below using Muller's Method. Terminate if Er...
Determine the values of the constants B and C so that the function given below is differentiable. f(x) = ſ 9 x x < 1 VIA BEC a) O {B = 27, C = 54} b) O {B = 27, C = 63} c) O {B = 27, C = -18} d) {B = -54, C = -18} e) {B = -27, C = 36}
An algorithm for the Bisection method function root Bisect ( x,, x, e, imax) while i s imax x' ←(x, +x.)/2 [or 1. ← f(x.) if f. = 0 or (x,-x,) x,+(x,-x,)/2] /r +x, then root ←x exit end if ii +1 if f, × f, < 0 then else end if end while root 'failed to converge"
A random variable X has probability density function given by... Using the transformation theorem, find the density function for the random variable Y = X^2 A random variable X has probability density function given by 5e-5z if x > 0 f (x) = otherwise. Using the transformation theorem, find the density function for the random variable Y = X².
Evaluate the function for the given value of x. 1-2x-5, {/x-7). for x<-1 for -1 <x<1 for x21 19, Find f(-1) undefined -8. -3 8.
2. The function of f(x) is given by TT X+ - 1<xs- 2 7 π -X, <x< 2 2 π X-TT, f(x)= <x<s, 2 f(x+27). a) Sketch the graph of f(x) for the range -1<x<. b) Based on a), determine the type of function f (x) and state your reason. c) Find the Fourier series of f(x).
number 3 Huu um poucou UL ue selat Method . Solve with Io = 0.5 to ég < 0.01% using Secant Method. (Provide your code for the Secant Method) • Plot the error e as a function of iteration. 3. Given f(x) = 25 - 504 + 1 - 6x2 - 7x + 10, find the roots using (a) a root finding routine and (b) a polynomial root finding routine. (Provide your code) ere to search
Determine all the roots of the given function below using Bairstow's Method with r=s=0 as initial values and Er=Es<=0.88154% as terminating conditions f(z) = 2.3-12.2 + 32,-1 f(z) = 2.3-12.2 + 32,-1
6. For the probability density function given by +1) -1<x<1, compute, using the definition the mean and variance of the distribution.
please answer asap a) Given a periodic wave function of f(x) = max -1<x< 1 that has a period of 27. Determine if f(x) is an even or odd function b) Find Fourier Sine Transform of f(x)=e**.
a) Find the length of the curve traced by the given vector function on the indicated interval: r(t)e' costie' sin tj+e'k 0<t<In2 b) Find the gradient of the scalar function f 6xyz + 2x+ xz at (1, 1, -1) c) Find the curl of the given vector field: F(x, y,z) 4xyi + (2x2 +2yz)j+(3z2+y2)k