Find the smallest positive root for the given function by using secant method. S(x) = 4 In(x') – x² +10

Q: Q3. Find the value of the following integration using Simpson method of integration: dx;n=6 √2x+1

A:

Q: Find the value of the constant C for which the integral 3 3C dx x + 25 X + 5 converges. C =

A:

Q: Q2: - If y = 3sec3t and x = etan3t prove that: - dy (In3)2 + dx y * logy x *

A:

Q: Find the exact solutions of vZ sin (x -)+ 1 = 0 for 0 sxs 47.

A:

Q: solve by hand( numerically) f(x)= cos(x)-x exp (x) using the bisection method and Newton- Raphson…

A: Let f(x)=cos(x)-x exp(x). Here f(0)=1>0 and f(1)=-2.178<0 Now, Root lies between 0 and 1.…

Q: Find all the solutions to sinh z = 0

A: Introduction: There is an exponential expression for the hyperbolic function. The expressions for…

Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

A:

Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: Determine an integrating factor and solve the followir xdy-ydx-(1-x')dx = o 1.

A:

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

A:

Q: H.W. (1): Use simple fixed-point iteration to locate the root of x – sin(x) = 0.25 Starting with an…

A:

Q: Q5: Find dx for the following functions: (1) xcinh 2x coch 2x (3) y = e* sin² x In√x

A:

Q: 1. Calculate for one real root of tan x = 4x with xo = 1.2 up to six decimal places using the…

A:

Q: [2] Determine the values of n and h required to approximate | a In(x)dx to within 10-10. Use (a)…

A: Hello. Since your question has multiple parts, we will solve first question  for you. If you want…

Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x -5x 3 Xo…

A:

Q: Q4 B) Find y' for the functions cos(xy) + 3*+cos ly+ In(xy) + log-7 dy

A:

Q: 16. Find the root of f(x) = x³ – 2x2 – 2 = 0 in [2, 3] correct to 3 decimal places, using the…

A:

Q: Find an antiderivative of the given function. 7 cos 2x

A:

Q: Find the slope of the tangent line to the graph of x²-Iny=0 at x=2 O None of these O 4e4 O e4 O 4

A:

Q: Q1 - Find the reduction formula for each of the following integrals iv. In = S sinh"x dx

A:

Q: Solve the following boundry-value problem by determining the appropriate Green's function via the…

A:

Q: (1) (a) Find the derivatives of functions f(x) = e2 and g(x) = 5æ?. (b) Compute the definite…

A:

Q: 2. Use differentials to find approximate values for the following radicals. (b) V34

A:

Q: A-Evaluat wing integrais: 1) S (cos x / sin? x) dx. 2) S (2x+4)/3 dx, use x-0 to x=2. 3)…

A:

Q: Use the Newton-Rhapson method to estimate the root of f(x)= ex -x employing xo=0. E = 0.1%

A:

Q: Demonstrate that for the function of the type va? + x2 you use the substitution X-atane and use it…

A:

Q: Find Lf 0- £{[ e-axdx } by transforming e atu(t) then applying the integratiori property

A: Given :I=∫0te-axdx Laplace Transform u(t)→ℒu(t)us=∫0∞e-stu(t)dt we need to find: ℒ∫0te-axdx

Q: Find derivative /differential of each of the following functions by using the appropriate formula.…

A: y=x2 e2x  dy / dx  =?

Q: Q3. Find t to within an accuracy of 0.05 by approximating the solution to sin x = 0 in the interval…

A: Given: f(x)=sin(x) and an interval [3, 4]. To find: Value of π within an accuracy of 0.05 using…

Q: Find the indicated integral (if it exists) / e bx dx e12z +1

A:

Q: Find the antiderivative F(x) of f(x)=12-pi(sin(x))+17cos(x), given F(0)=3pi

A: To find the anitderivative of the given function.

Q: Q1:Choose theappropriate value to integrate the following sin(In x) dx (sin (In x) – scos (In x)) +…

A: Solution I=∫sinin x dx        Let  lnx=t⇒x=et         1x dx=dt          dx=xdt…

Q: Find the value of the following definite integrals. Show your solution. 1. f(x¹+4) dx 2. (cos x +…

A:

Q: | 1. Find dx dy for the following functions : 45) y=x' log,(3– 2x) (ans.:3x² log,( 3 –2x)-73-2x…

A: We have to find the following derivatives

Q: Q2: - If y = 3sec3t and x = etan3t prove that: - dy (In3)² dx y * logy x |

A:

Q: Q2) A: Compute at the point (1, 0) for the function dx S(x,y) = cot 1(4x + em(sin2xy)) + sinh(3) +…

A: Given that, f(x,y)=cot-14x+elnsin 2xy+sin h(3)+log2x2 Which can be re - written as,…

Q: Find the general solution using reduction of order. 1. y''+y'=cos(4x)

A:

Q: Q3/A) Evaluate the integrals S sin(ln x)dx

A:

Q: on 1. Complete the following computation a' In(8x)dx via integration by parts f(x) = In(8x) and…

A:

Q: Calculate for one real root of tấn x = 4x with X0 = 1.2 up to four decimal places using the…

A: This is a problem from Numerical Analysis.

Q: The value of n when integrating the following function using Simpson's method is: [2²/ dx h = 0.2 >

A: solution is given below

Q: Q3/ Find the integral x e* dx by using trapezoidal and simpson methods with an error of no more that…

A: According to question given :Integral ∫01x ex dx by using trapezoidal and simpson 38 methods with An…

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

A: The equation in the form fx=0 is called a transcendental equation. The solution of the equation is…

Q: Determine the lowest positive root of f (x) = 8 sin(x)e–x − 1:        a.  Graphically.        b.…

A: The given function,     f(x)=8sin(x)e-x-1

Q: b. Find the value of V1-0.162sin²x dx using Simpson's 1/3rd rule, taking 6 equal subintervals

A: We apply Simpson 1/3rd rule it is given that six sub intervals must be mentioned so in the interval…

Q: Find the antiderivative of the function f(x) = - 4 sin (4x) when C = 0. The antiderivative is

A:

Q: Find a root for f(x) = xcos(x) + e* + 2x using the Newton-Raphson second method.

A: The Newton's iteration formula to find the root of function y = f(x) is:  xn+1=xn-f(xn)f'(xn).…

Q: Given that f(x) = V3 cos 5x+sin5x. (a) Express f(x) in the form Rcos(5x-a) where R>0 and 0° < a…

A:

Q: 1) f(x) = In 2x + sin x - 2e* , in the interval [0.4, 0.6]

A: Consider the provided question, fx=ln2x+sinx-2e-2xin the interval 0.4, 0.6 We need to solve the…

Q: By the even extension method applied to the function f (x) = e-2", where x > 0, the value of the…

A: