0.8 Use Gauss Quadrature to evaluate 1 dx .Compute also the absolute 1+ 2x 0.2 error of the approximation given the true value is 0.30952.

Q: Approximate (a) cos 0.8 and (b) cos 1/2 using the linear approximation technique

A:

Q: What is the graph of the function over a one-period interval? y = cot 7x

A: Given: y=cot7x The graph has no horizontal asymptote and no oblique asymptote. Vertical asymptote:…

Q: Find the equations of both of the tangent lines to the ellipse x² + 4y² = 36 that pass through the…

A:

Q: Determine the root of the following using Fixed-Point Method. DO NOT USE CALCULATOR TECHNIQUE, SOLVE…

A: The fixed point iteration method uses the formula: xn+1=ϕ(xn) to perform the iterations and to…

Q: By writing T/4 = (T/3) - (T/4) and considering e^iT/12, evaluate cot(T/12) and tan(T/12).   Where T…

A:

Q: Evaluate [sin² (7x)dx using Simpson's method to four decimal places. take n = 6.

A: ∫01sin2πxdx       To find: Above integral using Simpson's method if n=6.

Q: 29.9 x cot(sin-'(0.7658)) = O 35.61 37.66 O 39.04 25.11 46.50

A:

Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: By the finite difference method f'(x)=f(x+h)-f(x-h)2h                [Second order approximation]

Q: Locate the first nontrivial root of sin(x) = x2 where x is in radians. Use bisection with the…

A: To do the calculations in Excel, first enter the numbers in separate cells. Each number is…

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: All calculations must be in four (4) decimal places. Let f(x)=xcosx-x² sinx, i. Calculate f"(3.0) by…

A: The four point difference formula for approximating the second derivative f"(x) at point xi is given…

Q: Find the derivative. 5х + 1 In 5x - 1 dx 5x +1 %3D dx 5x -1)

A:

Q: Suppose f(x) = cos x. Without using the AROC formula or a calculator, find the average rate of…

A:

Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +

A:

Q: What is the relationship between the Beta function and the Gamma function, and how can it be used to…

A:

Q: 2 x + لوا + sech (π) = cot(y) + log2 (tanh(x))

A: Given,            ex2+2y+sechπ=coty+log2tanhxTo find : Find dydx.

Q: The probability a student has blue eyes is p. Five students are selected at random. Write down, in…

A: It was stated that the probability that a student has blue eyes is p. Five students are selected at…

Q: The median size of a new single family house built in the United States between 1987 and 2001 can be…

A:

Q: 6. DETAILS Verify the statement by showing that the derivative of the right side is equal to the…

A:

Q: Differentiate O y = arctan √3x

A:

Q: Find the root of the equation Cosx-x' = 0 near to 0.5 using Newton-Raphson method correct up to 3…

A: To determine the root of an equation using Newton-Raphson method, first choose an initial value x0…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.