Use Regula-Falsi Method to approximate one real root of f (x) = -0.6x² +2.4x + 5.5 on the interval (5, 10) up to %ER < 2%. %3D 5.532623 5.614873 5.592214 5.623427

Q: Use secant method to determine a root of f(x) = x 4 - x – 10 with initial guesses of x-1 = 1 and xo…

A: Secant Method:- Let a function f(x) then the roots of function f(x) is  xn+1=xn-fxnxn-xn-1fxn-fxn-1;…

Q: Ssec*x tan*xdx C'

A: We can find the integration as below

Q: 1 Use linearization to estimate (0.98)³*

A: Given function is: fx=1x3 The function and its derivative is easiest to calculate at x0=1 which is…

Q: A team of medical researchers determined that t days after the epidemic started N(?) = 10t^3 + 5t…

A:

Q: Estimate the root of f (a) =-13 20z +19x?-3x using the Bisection Method on the interval (-1,0). Do…

A: Given f(x) = -13-20x+19x2-3x3

Q: c. f(x) = Ve7x + 4

A: given,       fx=e7x+47

Q: Let f(x)=V2x/x. Then f"(1)= Select one: 3 16 3 8/2 - 36 7 21 O None of the above

A:

Q: Evaluate V7 by using linear approximation of f(x) = V about the value I = 8.

A:

Q: In x (1+In x)² 1. S = dx

A: In this question , we will integrate .

Q: Inx (a) log₂x = In2 (b) dx =

A: We have to prove that: (a) log2x=lnxln2 (b) ddxtan-1x=11+x2

Q: P(x ≥ 168.75) = 1 P(Z ≤ 0.4545) = 1 - 0.1736 0.6736 = X

A: Given that  We have to find  P(x-≥168.75)=1-P(Z≤0.4545)

Q: Show that di = s> 0.

A: Laplace transform

Q: ylnx Iny da + dy = 0

A:

Q: How do I differentiate this?

A:

Q: Find any local extrema in the function.

A: For the given Function    G(X) = 13x3+12x2-6x Local extrema in function is calculated as

Q: 1/x > 1/x+5

A:

Q: Use simple fixed-point iteration to locate the root of f(x) = sinvx – x Use an initial guess of x, =…

A:

Q: Differentiate the function. A(s) = -- A'(s) = 44 5 X

A: Given: The given function As=-11s4 To find the derivative of the function. Derivative formula:…

Q: Expand the expression in attached image up to 3rd term.  Hence estimate (0.99)10 to 3 dp.

A: Binomial expension

Q: Use the table below to fill in the missing values. f(3)=  if f(x)=1, then x= f^−1(2)= if…

A:

Q: Find all values of x for which ∑ (n=0 to ∞) 1/(1+x)^n equals 4

A: