Evaluate | cos(x?) dx by using Simpson's 1/3 rule , taking n = 4, correct to four decimal places 0.9045 0.8958 0.7721 0.8012

Q: 45) Find an upper bound for the error in estimating | 5x cos x dx using Simpson's Rule with n = 6…

A:

Q: Find n so that 27 en+1 – 1 < 0.05? 2 (n + 1)(n + 1)! Use the information above to calculate eet dx…

A: For (b), We need to find n so that 272en+1-1n+1 (n+1)!&lt;0.05. Notice that solving this…

Q: ind the differential equaiton corresponding th y= a cos(log x) +b sin(log x) where and b are…

A:

Q: Find the following definite integrals using an appropriate substitution. (a) /2 cos a sin(sin x) dx.…

A: a) The given integral is ∫0π2cos(x)sin(sinx)dx. Evaluate the integral as follows. Apply u…

Q: O: Find the integration for the fol dx 1-) sin(x)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the value of the following integral: * COS2 dx,a>0

A:

Q: e ax dx

A: 1. Let In=∫xneaxdx. Use the integration by parts formula ∫udv=uv-∫vdudxdx to evaluate the integral…

Q: 1. Approximate dx using each of the following.

A:

Q: The approximation of I = tanx dx using composite Simpson's rule with n-5 is: O 0.6165 O None of the…

A:

Q: 35. G(t) = sinh(In t) %3D

A: We have to find derivative

Q: Find the integration of the following   x2 / x sin x + cos x

A: Our Aim is to integrate the following expression given below:-x2x sin x+cos x -(i)

Q: πT Evaluate the integral: S sin(3x)cos(3x) dx

A: We can solve this as follows:

Q: Evaluate dx by using Simpson's 1/3, taking n= 4, correct to four decimal places log,(e)

A: Consider the integral  ∫45.21log5exdx

Q: B. Evaluate the definite integral using the Simpson's rule, giving the answer correct to 3 decimal…

A: Topic- Integration

Q: Estimate o cos(x2) dx using (a) the Trapezoidal Rule and (b) the Midpoint Rule, each with n = 4.…

A: Given: ∫01cosx2dx To Estimate: The given integral usinga. Trapezoidal Ruleb. Midpoint Rule

Q: GIVEN: f(x)=cos (x)-√4-x² Using NEWTON'S METHOD, determine new estimate after 2nd iteration. ε =…

A:

Q: e" cos x dx

A:

Q: IV. Approximate the following up to 4 decimal places using Maclaurin's series... 1. sin (110) 2.…

A:

Q: 37. Use numerical integration to estimate the value of c0.6 sin- 0.6 = dx Vī For reference, sin¬ 0.6…

A:

Q: 12. To celebrate Pi Day, you want to approximate a to within 0.001. 1 4 - dx to determine the…

A: 12. To celebrate Pi Day, you want to approximate ,r to within 0.001.    a). Use the factpi= 4…

Q: Evaluate the following trigonometric integrals L cos³(x}sin³(x)dx a) ( sin (x) b) -dp- Av cos?(x)

A:

Q: Find cosh a In(sinh r)dr.

A:

Q: Q.3 Evaluate the by using the appropriate u –sustitution. cos (ln x) dx

A:

Q: The following table shows corresponding values of x and y for | x² sin dx 5л 2л 4 9.870 14.207…

A: This question is related to integration.

Q: Determine the following indefinite integral. dx X√ 625 + x 2 dx S- x√√625+x² (Type an exact answer.)…

A: We have to determine the indefinite integral ∫dxx625+x2.

Q: 1 dx x(In x)*

A:

Q: Apply the open Newton-Cotes formula with 3.5 xe*dx n=1 to approximate 0.5

A: For n =1 , ∆x = b-a3 , and the abscissas are x0 = a+∆x and x1 = a+2∆x . The Lagrange polynomials…

Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

A:

Q: Determine how large the number a has to be so that     ∫a∞ 1/(x2+ 1) dx &lt; 0.001

A: It is given that, ∫a∞1x2+1dx&lt;0.001. Show the definition of an improper integral of type 1: (a) If…

Q: Evaluate the following integral sin x cos x dx

A: The given integral is It can be written as

Q: Find cosh r In(sinh a)dr.

A:

Q: Q2]Using Simpsons1/3 rule for evaluation of sinh(e¬*) dx use n = 4 andwork to 5 decimal place?

A: The formula for Simpson's 13 rule is: ∫abfxdx=∆x3fx0+4fx1+fx3+...+fxn-1+2fx2+fx4+...+fxn-2+fxn Here,…

Q: d41 -cosh(x) at x : O is dx41

A: cosh (x)

Q: Determine the indefinite integral e - e¯ª cos x dx.

A: ∫e-xcosx dx

Q: Q6) Calculate the mean value of y= 24 sin5 0 cos 0 from 0 = 0 to 0= J\6

A: Mean value is evaluated.

Q: Find the approximate value of /2 S sin (x) da using Simpson's Rule with eight intervals, quoting…

A: The given problem is to estimate the approximate value of integral using Simpsons rule with eight…

Q: Evaluate J by means of Simpson's rule with n = 2m=10 and h = 0.10 = [*exp(-x²) dx Answer in 4…

A: f(x)=exp(-x2)h=b-an=1-010=0.10 table for x and y values x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1…

Q: Prove the following (sinh x + cosh x)^= e%x cosh?x-sinh?x = 1

A:

Q: Evaluate 1- x? dx 0. by Simpson's rale with n=5

A: Here fx=x1-x2 The interval is 0,1 and n=5. Hence the interval is divided into 5 equal parts.…

Q: Evaluate the definite integral. *a/6_sin(t) _ dt cos?(t)

A: Given, ∫0π6sintcos2tdt  We have to evaluate the definite integral.

Q: Evaluate h(x)=tan(x)-x/x^3 for x=1.0.5,0.1,0.05,0.01,0.005 (Round your answers to six decimal…

A:

Q: Find the indefinite integral. cos t dt sin t

A: Consider the given indefinite integral, ∫cos5tsin tdt use the trigonometric identity, cos2x=1-sin2x…

Q: Let f0) - cost). Then T,6) cenered at a = is---)---)* --)° * ). 2 48 Use T(x), at an appropriate…

A: This is a problem related to series expansion. Since x is not equal to zero this is Taylor series…

Q: Evaluate the following: 2Tt sin x cos x dx a) S"Isin? x cos x| dx 0. b)

A: ∫02π(sin2x)(cosx)dx Let u = sinx du = cosxdx ∫02π(u2)du u3302π = sin3x302π sin32π3 - sin303  0

Q: In Evaluate the integral e cose dx cos e

A:

Q: Evaluate the integral.

A: we have to evaluate the integral ∫excos(ex)dx

Q: cos“(x) sin(x)dx

A: See attached file for a step by step explanation to find the given integral.

Q: Calculate SN given by Simpson's Rule for the value of N = 6. cos(3x²)dx (Round your answer to six…

A: given integral :

Exponential Growth Model

The relation that represents an exponential function is: