1.4.6 Let D: P2-1,1]P2[-1,1] be the differentiation map, and recall that P2(-1,1] is the vector space of poly- nomials with degree at most 2 with respect to the standard inner product (5,8) =f(x)8(x)dx. %3D Compute D* (2x+1).

Q: 9. (1+iv3). 10.

A:

Q: d?F – AF = 0, dx? slove avec F(0) = 0, F(1) = 0 et aeR.

A:

Q: Corollary 2.54 Let (M, d) be a complete metric space and K C M. The following statements are equival...

A:

Q: Consider the parabola given by the equation: y = x + 8x – 2 Find the following for this parabola: A)...

A:

Q: 2 Let B be the (k + 1) × 1 vector of OLS estimates. (i) Show that for any (k + 1) × 1 vector b, we c...

A:  

Q: The equation f(x) = e* – 3x² has roots in [3, 5]. Using 5 iterations, find this root using Bisection...

A: The bisection method performs iterations on the midpoint of an interval to approximate the root of a...

Q: One method to obtain an approximate solution is to plot the function and determine where it crosses ...

A: True  is correct ans   

Q: Which of the following statements applies to the bisection method used for finding roots of function...

A:

Q: Adjacency Matrix and a Graph Fill in the table below to represent the graph's adjacency matrix. a e

A:

Q: Use trapezoidal rule to estimate the the integral. V + Adx n=6 a) 2.75

A: the given integral is ∫14x2+4dx given n=6 therefore  h=b-an=4-16=36=0.5    

Q: 4 Local stability of the equilibrium point The nontrivial positive equilibrium point of (4) is Eo = ...

A: The detailed handwritten answer is given below please do upvote if you like thank you

Q: 1 2 4 Let A be a 3x3 matrix A = | 0 0 0 0 -1 %3D 3 then the determinant of the matrix A17 + A10 – I ...

A: Given matrix is A = 12400300-1 We have to find determinant of A17 + A10 - I

Q: Find the unit vector directed from V(2, - 5,– 2) toward M(14, – 15, 3). Answer.

A:

Q: Use technology to minimize the following: Minimize g 11yı + 9y2 + 10y3 subject to 3yı + 5y2 + 2y3 > ...

A:

Q: If v = 2 +i and w = 3 - i, find the sum of five times the v and twice the w

A: The question is related to complex numbers. The solution is explained below.

Q: Give the commutative property of addition and illustrate the property with an example. .... Choose t...

A: We have to explain the commutative property of addition and we have to illustrate the property with ...

Q: 3. Five pieces of rolled paper, numbered 1, 2, 3, 4, and 5 are place in the box. If you pick one and...

A:

Q: Thm 12.2 (Sm) Sit Su#o. Then, Snti lim inf L. =(aSL) L is Harte say or d s4 4>L. ) Nottce L: m sup S...

A:

Q: 1 2. Show that y(x)= - is a solution of differential equation V3-2V1+x2 dy yx dx V1 + x2 and satisfi...

A:

Q: Double root. If D2 + aD + bl has distinct roots u and A. show that y = (e"* - e^./H ). Obtain from t...

A:

Q: Note: Please type your answer. The head committee of s.t.a.t finance group is composed of 10 people...

A: If n things are to be arranged around a circle then the number of possible arrangements is given by;...

Q: Graph of f . The graph of the function f is shown in the figure above. Which of the following could ...

A:

Q: The Maclaurin series of sin.x is given by * x7 +. 7! sinx = - 1! 3! 5! Use the above expansion to ch...

A: Given: Differential equation xy''+sinxy=0. Maclaurin series of sinx,                              ...

Q: A particular solution of 4x' d´y dx? +8.x- dy 4 is +y de

A:

Q: 3 actóbd-zad - 3bc c² -4d² ä3 - 276°

A: Please find the detailed solution in below image

Q: Find the absolute maximum and minimum values of f(x, y) = y² + x² – 8x + 9 on the set D where D is t...

A: Given the function fx,y=y2+x2-8x+9 on the set D where D is the closed triangular region with vertice...

Q: Calculate the following integral by Simpson's method 3/8 with n= and verify the error obtained. In V...

A:

Q: Fourteen female and thirty male athletes were interviewed on their mental toughness in sports. One a...

A:

Q: hich of the following is not one of the four requirements for a mathematical system to be called a h...

A: To be group following properties must be satisfied. 1. closure property  2.associative property 3. e...

Q: tind lim X+8 -3 メ→ - メ+」 2. lim X+3 2. メ→ -3 ×+uメ+3

A: The given problem is to evaluate the given limits of a function, we have to check the 0/0 form then ...

Q: A cadet engineer works in a manufacturing company that makes floats for ABC commodes. The floating b...

A:

Q: A vertical cylinder having a circular base of radius ‘r’ and a height of 12 m is filled with water a...

A:

Q: If u = 3x - x³ + 3xy? is a real part of an analytic function f(z) = u + iv, where z = x+ iy is a com...

A:

Q: 5. A diver explores a shallow reef off the coast of Belize. She initially swims 90.0 m north, makes ...

A:

Q: 1. Classify as prime or composite. • 31 • 35 • 51 • 87 • 101

A:

Q: e value of t

A:

Q: A cadet engineer works in a manufacturing company that makes floats for ABC commodes. The floating b...

A: Given the function fx=x4-8x3-35x2+450x-1001. The root will be given by x4-8x3-35x2+450x-1001=0. Rewr...

Q: How many number of significant digits are in the number 808.080080 8 4 9.

A:

Q: The sand pouring at the bottom of an hour glass is conical in shape such that the radius is always 1...

A:

Q: Caught warning in the question code: strpos() expects parameter 1 to be string, array given on line ...

A:

Q: Solve the following complex numbers in their rectangular form. Use 4 decimal places for the comput...

A:

Q: Using the Newton-Raphson method in finding roots of a function shows a linear rate of convergence. O...

A:

Q: Find the Laplace transform of f (t) = cos 2t +7 sin 2t +14 14 +14

A:

Q: Suppose that Vf(x, y, z) = 2xyze*i+ ze**j+ ye*´k. If f(0, 0, 0) = 5, find f(1, 1, 8). Hint: As a fir...

A:

Q: 8. Give the first 3 terms of the following geometric sequence and the n" term, a. a. a=4 andr 2 d. a...

A: Here given that                             a=4 and r=2 We have to find the first 3 terms of the fol...

Q: Given matrices P= mn ,X= x y z w , and T= tu , verify that the following statement is true. P(X-T)=P...

A:

Q: Consider the parabola given by the equation: y = - 4x? – 12x + 9 Find the following for this parabol...

A:

Q: Given the points T(6, 2, – 3), R(– 1, 4, – 2) and S(2,5, 1). Find the unit vector directed from T to...

A: Please find attachment for the details solution

Q: Fill in the blank with the appropriate word. A mathematical system consists of a set of elements and...

A: A mathematical system consists of a set of elements and at least one binary operation.

Q: If A is a 2×2 matrix such that trace(A) = det(A) = 3, then %3D value of trace of (A-!) ?

A: Introduction: It is the sum of the diagonal elements of the matrix from upper left to lower right. ...