Use the Bisection method to find an approximation to within 10^(-5)to a value in [0.5, 1.5] with e^x-2=cos(e^x-2).

Q: find the root of the equation  f(x)= -x/2 + sinx =0 using bisection method in the interval [1,3]…

A: given function fx=-x2+sinx=0 find the root of the equation using bisection method in the interval…

Q: Find the indefinite integral .

A: To find the indefinite integral  I=∫sin-12x1-4x2dx  Let u  = sin-1 2x dudx = 11-2x2du = 11-4x2 dx

Q: Sketch the graph the integrands and use areas to evaluate the integrals. + dx -2

A:

Q: What is the resulting integrable form after you applied substitution technique in tanx sec“x dx?

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Q: Evaluate the integral using formula was (from the 1page differentiation & integration formula) by…

A: Hint : 1. Use substitution : ex = t. This integral will turn into a standard Integral.

Q: Find the indefinite integral and check the result by differentiation. | VT – - 6x²(-12x) dx

A: To evaluate the given differential equation

Q: Use all your background to find the integral of the hyperbolic function: 00 sinh ax cosh bx

A: Given: The given integral ∫0∞xnsinhaxcoshbxdx

Q: Calculate the result of its integral using Gamma functions.

A:

Q: Find the exact error in approximating ln(sec(−0.4))by its fourth degree Taylor polynomial at ?=0.

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Q: Jse differentials to approximate 47. (Express as a rational number.)

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Q: Find the root of the equation + sinx = 0 using bisection 2 method in the interval [1, 2.5] correct…

A: Given equation-x2+sinx=0 . We have to find the root of the equation -x2+sinx=0 using the bisection…

Q: In *In ecot³x dx feln sinx

A: We need to evaluate integral.

Q: Only one of these calculations is correct to evaluate the definite integral V sinx dx Using the…

A:

Q: 1. tan 2x dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Use Romberg integration to compute dr correct to three decimal places.

A: Given integration is I=∫01dx1+x Let f(x)=11+x Here a=0, b=1 if we take 1 subinterval, then h=1-01=1…

Q: Calculate the left rectangle approximation of 3x- dx using five subintervals.

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Q: Evaluate a. Fв- x-3Dаx

A:

Q: What integrals lead naturally to inverse hyperbolic functions?

A: Assume

Q: Define Integral Over a Period ?

A: we have to define define Integral Over a Period.

Q: Sketch the graph the integrands and use areas to evaluate the integrals. V16 – x² dx

A:

Q: Evalute the indefinite integrals using the general power rule

A: ∫5e3x9-12e3x+4e6x4dx

Q: Compute. integral (1) / (square root 1 + x2)3 dx

A:

Q: Evaluate the double integral [ Vy sin ydydx.

A: • Here, the inner integral w.r.t 'y' is difficult to evaluate, hence we have to change the order of…

Q: Use the addition formulas to provesinh(2x) = 2 cosh x sinh xcosh(2x) = cosh2 x + sinh2 x

A: Our Aim is to prove the following identities:-(a) sin h(2x)=2 cosh (x) sinh (x)Proof⇒Since, sinh…

Q: Find the Indefinite Integral by making a change of varlab of Integration.) dx

A: Given: I=∫xx-6dx    ....1 Let, u=x-6⇒x=u+6 Now differentiate on both sides with respect to x.…

Q: Complete the indefinite integral by choosing the correct LETTER from the table: 1 cos(3p) cos(6p) dp…

A: Consider the following formula: 2cosacosb=cosa+b+cosa-b Consider the following integral:…

Q: Approximate the definite integral Vr2 + 2dx using the right endpoint method and n = 5. Round your…

A:

Q: An integral of the form f(a)da was computed by two students using trapezoidal rule with end point…

A: Given That : An integral of the form ∫01f(x)dx by two student using trapezoidal rule with the end…

Q: Evaluate This Integral if curve C consists of curve C₁ which is a parabola y=x² from point (0,0) to…

A:

Q: The measurment of the radius of the end of a log is found to be 28 inches, with a possible error of…

A:

Q: The integration of cosx is

A: Recall: Definition of Integration:      In mathematics , Integration is a technique to finding a…

Q: Evaluate the integrals ∫6 cosh (x/2 - ln 3) dx

A: ∫6coshx2-ln3 dx Put, x2-ln3=t⇒12-0=dtdx⇒12dx=dt⇒dx=2 dt

Q: Find the indefinite intergral of: Integral cube root of x^2 - (1/x^2) dx

A: Consider the given integral.

Q: Evaluate the integral of cosh2x(sinh 2x)^2 dx

A: ∫cosh2xsinh2x2dx

Q: Use bisection method to find a solution accurate within 0.001 for f(x)= tan (x) 4.5] on interval [4,

A: The root of the function can be calculated using the bisection method. The root of a function…

Q: Use a double integral to find the

A: We have to find the volume using double integration according to the given information

Q: .Find an equation for the curve that passes through the labeled int.

A: We are aske dto find the equation of the curve.

Q: Use Bisection method to find the root of f(x)=3x+sinx-(e power x) in the interval [0,1] up to 5…

A: Bisection Method: If a function fx is continuous between a and b, and fa and fb are of opposite…

Q: Find the indefinite integral by making the substitution a = 6 sec 0. 2-36 dx -1 6 C. Vx2 – 36 + 6…

A: Given

Q: Compute the integral by the adaptive trapezoidal quadrature method (must use the recursive for-…

A: Given that ∫-22x-13dx by using trapezoidal quadrature h=0.5 x -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 y…

Q: Find the smallest positive root by using the bisection method S(x) = 4 cos(2x) – x' +5 with 3…

A: The smallest positive root by using Bisection method of f(x)= 4cos(2x) -x3 +5  is   1.2334.…

Q: Estimate the value of V83251.69 in three decimal places by linear approximation.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Express the integral / rV1: V125 – 23 dr in terms of Beta function.

A: The solution is given as

Q: .5 | (4x*)dx -1

A: Use the formulas of integration and solve it.

Q: An integral of the form f(x)dr was computed by two students using trapezoidal rule with end point…

A: The general Romberg Integration formula is, Ij,k≅4k-1Ij,k-1 - Ij-1,k-14k-1-1 where, j: is the level…

Q: Use tangent line approximation to estimate 2390 (to seven decimal places), recognizing that 7* =…

A: To solve the following approximation

Q: Find one real root using bisection method for sin(x) - x3 =  0  on the interval (0.50,1) until…

A: It is a Numerical Analysis problem where we use Bisection method to calculate one real root of…

Q: 13) Estimate tan(44°) using linear approximation.

A:

Q: Use differentials to approximate tan (43°). Round to 4 decimals.

A: Approximate to tan(43°) using the differentials ,