5. csc*x - 3csc'x + 2 = 0

Q: The first derivative of y = cos(3x-8) is O a. - sin( 3x-8) O b. 3 sin( 3x-8) O. - 3xsin( 3x-8) O d.…

A: Given function is, y=cos3x-8.   It is differentiated as follows: dydx=ddxcos3x-8

Q: tion 2 he equation fx) =3ex = x2 = 0 has a solution in the interval 2<x<0. With xo= -2 and x, =0,…

A:

Q: SOLVE USING VAREATION Of PARAMETERS OR REDUCTION of ORDER 2 tan'x

A:

Q: (b) Prove that : - 1) (coshx)2 – (sinhx)2 = 1 ,2) coshx- sinhx = e-*, 3) (cothx)? -1= (cschx)?

A: Given that  The following

Q: A) By using simple Iterative method, find one root of the equation sin x = Use 3D. %3D (x2- In x)3

A: We have sinx=1x2-lnx3 Now, if we need to find a solution of fx=0 then we write fx=0 in the form x=gx…

Q: Apply Newton's method to find x, , the fourth approximation to the root of the equation S(x)=x° – x*…

A:

Q: Explain why Newton's method doesn't work for finding the root of the equation x3 - 3x +1 = 0 if the…

A: Given that

Q: Solve using variation OF patometert O reductian OF order CD-+)y= secx csc x csc X

A:

Q: Find an equation of the tangent line at x = 0. y = x5 + cos(x) .13 (Use symbolic notation and…

A: We have given equation  y=x13+cosx Put x=0  y=0+cos(0)=1 Point on the curve x1,y1=0,1…

Q: 4) Solve using fixed-point iteration method to locate the root of f (x) = sin/x – x Use an initial…

A:

Q: tion of all components of v(3) correct to two decimal places.

A:

Q: 2. Write closed Newton-Cotes formula with error for n=1, 2, 3 and then solve integral S* sin(x) dx…

A: The Newton cotes formulas are closed when the endpoint of the closed interval is used as a node. The…

Q: 2- Find the positive root of f(x) = xe"- cos(x) with an error tolerance =0.005% by using the secant…

A: Using a graph, it can be found out whether a function has solutions if the graph cuts the x-axis at…

Q: y" + y = tanx

A:

Q: Use Newton's method to find all the solutions of the equation correct to eight decimal places. Start…

A:

Q: Solve for 0 <x< 2n. 4sin'x - sinx = 0 %3D

A: Solution of trigonometric equation

Q: 2) Use Newton's method to approximate the zero in f(x) = - x3 + 3x-x + 1, or explain why Newton's…

A: Consider the given function,

Q: sinh(9x) If g(x) : 8 + cosh(9x) find g' (x) 8+ cosh(0)

A: Following formulae are used to solve first question

Q: Explain why Newton's method doesn't work for finding the root of the equation x3 − 3x + 3 = 0 if…

A:

Q: 4. Interval 0<x<n, function, f(x) = sin 2x. %3D

A: We have to find the Fourier series of the function fx=sin2x ,x∈0,π

Q: 2 that also passes Write the equation for a quadratic function f(x) with roots at x = 7 and x =…

A:

Q: FIN 2 dx

A: Note:- In given problem, according to written way sin2x is multiplied by 3x+1. If you want solution…

Q: On the graph of f(x)=tanx and the interval [−2π,0), for what value of x does the graph meet the…

A: To Determine: What value of x does the graph meet the x-axis. Given function is :…

Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду

A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.

Q: Lim as x approaches 0  1-cos(5x)+sin(3x)/x

A:

Q: What are the critical points of sin(x2-1), at the closed interval [-1,1]?

A: Given: The critical point is a funtion is the point where the derivative of the funtion is zero.…

Q: : Find value of x if :- 2 sinh (2x) - 4 cosh (2x) = - 4

A:

Q: 3) Use the Intermediate Value Theorur to show that there ís a root of the equation Make sure you…

A:

Q: 1) sinh-1x = In(x + Vx² + 1) %3D 2) cosh-1 x = In(x+ Vx² – 1) %3D 3) tanh-1x In ) X = 1-x

A:

Q: Use Newton's method to find the second and third approximation of a root of 3sin(x)=x starting with…

A: Here 3sin(x)=x∴3sin(x)-x=0Let f(x)=3sin(x)-x ∴f′(x)=3cos(x)-1 x1=2 1st iteration…

Q: Use Newton’s method with initial approximation x1 = -1  to find x2  , the second approximation to…

A: Let fx=x3+x+3. Then f'x=3x2+1. The Newton’s method formula, xn+1=xn-fxf'x=xn-x3+x+33x2+1 If x1=-1,…

Q: 9. Solve tan x for x where 0<x<90* V3 Enter your next step here

A: Just observe that its value of tan(30°).

Q: (7) Find if \.Y =ln12- Cosx) , 2- Y= %3D

A: Calculate dydx. 1. y=ln 2-cos x. Derivate with respect to x by applying chain rule: dydx=dydududx.…

Q: 2. Solve 3shn-sinx-2= over the interval [0,27). 2 sın'x-sinx-|:0

A: The objective is to solve the above expression.

Q: use a geometry formula to find the exact value of the definite interval square root of 16-x2 dx on…

A: The given can be consider as a function,

Q: Solve x - cos(x) = 0 by Secant method. Use x-1 = 0.5 and xo = 1.0 as the initial estimates. %3D

A: We will find roots till 4 digit repeat

Q: Use Newton's method to obtain a root for x^3 - 2x + 5 = 0

A:

Q: - Find All solutions. For y = 3.0 to the Transcendental equation. sinx-ln z = X - Y + gamma x & This…

A: note : the last term in the given transcendental equation is "gamma" which is used to represent the…

Q: 15. -- sin(2+ 2) dz

A: According to the given information, it is required to solve the give integral.

Q: How do I solve the limit as x goes to -1 for the expression (sin(3x-3))/(1-x) without using…

A: The given limit is,

Q: Solves methad of vriation of Parameters - secx by the yot gosx +イne

A: We use the method of variation of parameters to solve this problem.

Q: 1. f(x) = cos 3x2. y = - tan 12x3. f(x) = sec x? 4. y = sin(2x² + 5)5. y = 12 csc6. f(x) = sin(x +…

A:

Q: Solve 3x^2-Siny=0, xy^2-x^3+7=0, initial point (-1,2) .

A:

Q: Prove cosh 2 x - sinh 2  x =1

A: To prove  cosh2x-sinh2x=1

Q: 11 tanto-2 tan Bz1 show that 2 coste- Cos B20

A:

Q: Obtain the positive root of the equation 3r -V1+ sin(x) by iteration method with 3 decimal places…

A: The equation in form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: Use the fixed połnt method to approximate the root of the equation 10*-13.x-930 in the interval…

A: We have to use the fixed point method to approximate the root of the equation 10x-13x-9=0 in the…

Q: sech2(In x)

A:

Q: Use Newton’s method with initial approximation x1 =-1to find x2 , the second approximation to the…

A: Given, the function is x3 + x + 3 = 0, and the initial approximation is x1 = -1, we have to find the…