Question: Exercise Using proportional parametric representation, obtain the polynomial passing by points A(-2,1), B(2,3), C(3,1) and D(1,-1). a) Write the equation or equations passing by

Exercise Using proportional parametric representation, obtain the polynomial passing by points A(-2,1),

Exercise Using proportional parametric representation, obtain the polynomial passing by points A(-2,1), B(2,3), C(3,1) and D(1,-1). a) Write the equation or equations passing by the 4 points. How many equations do you need? What is the order of each equation? What are the unknown variables? b) What is the parameter value at points A, B, C and D? c) Write the equation system or systems which will allow you to calculate the unknown variables. d) Define the parametric equation of the polynomial which passes through points A to D. Plot the polynomial. e) Explain the plot. f) What are your conclusions?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mechanical Engineering Questions!

Completa la frase con la forma correcta del futuro del verbo entre parntesis. Para celebrar su aniversario de matrimonio, ellos (comer) en un restaurante elegante

Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...

software projects failed. In the run-up to Y2K, most of the world's large companies claimed that fixing the Millennium Bug was a large project whose success was critical to their survival. One would...

Its out of order but its for a maths exam so process is key 1. By using the mathematical definition of concavity (the expression that uses [10%] the notion of a convex combination) show that f (x) =...

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

The experimental result differs from the assumption. The result shows that the ring oscillator frequencies can be grouped into two groups, where the first group is the high frequency group for the...

The new line character is utilized solely as the last person in each message. On association with the server, a client can possibly (I) question the situation with a client by sending the client's...

Find the standard form of the equation of the parabola with the given characteristics. vertex: (5, 25) points on the parabola: (0, 0), (10, 0) D= - X + 10x XFind the standard form of the equation of...

Python question: eight puzzle Part I and Part II are here:...

Below you am given four parametric equations and their plots. Match each plot in the correct set A. I - cuss(at), y - sim(at), 15152 B. I - 2 + cos((), y- 3 + an(1), Ost5 2x C. I - 2sin(t), y - 3...

For the double-slider linkage in the posture shown, the angular velocity of the input crank 2 is 42 rad s cw. Find the velocities of points B, C, and D. (Use vector diagram and your best knowledge of...

Is the average (over time) tension in the string of a pendulum larger or smaller than mg? By how much? As usual, assume that the angular amplitude A is small.

Evaluate C F * d r , where f ( x , y , z ) = 2 x y 2 z + 3 x 2 and C i s the curve x = t 2 , y = e t 2 - 1 , z = t 2 + t , - 1 t 1 .

The wavelength of a sinusoidal plane electromagnetic wave propagating in 8. +y direction in vacuum is 6 x 10-8 m. If the amplitude of the electric field component of the wave is (9 V/m), what is the...

1). George Johnson recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his two children. The trust fund has two investment options: (1) a bond...

An infinitely long cylindrical conductor with radius R = 1.40 cm carries a current 2.90 A which is uniformly distributed over the cross-sectional area of the conductor. What is the magnitude of the...

Bradley C. Birkenfeld was a private banker at the Swiss bank, UBS. In 2007, he began giving U.S. authorities detailed descriptions of the ways in which UBS was promoting tax evasion. He also...

Design a minimum-mass symmetric three-bar truss (the area of member 1 and that of member 3 are the same) to support a load P, as was shown in Fig. 2.9. The following notation may be used: Pu = P cos...

6. Show that E(F G) = EF EG.

A family has two children. What is the conditional probability that both are boys given that at least one of them is a boy? Assume that the sample space S is given by S = { (b, b), (b, g), (g, b),...

3. A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, what is the probability that it will be tossed exactly four times?