1.) Find the polynomial f(x)= a + bx + cx? which passes through the points (1,9),...
(1 point) Find a polynomial of the form f(x) = ax’ + bx² +cx +d such that f(0) = -3, f(-2) = 5, f(-3) = 2, and f(4) = 5. Answer: f(x) =
2. [8 points] a) What is the smallest degree of a polynomial that passes through all 5 of the points below? b) Set up a system of equations that can be used to find the polynomial in a). x 1 2 3 4 5 y 5 15 19 23 33
2. [8 points] a) What is the smallest degree of a polynomial that passes through all 5 of the points below? b) Set up a system of equations that can...
python
the
polynomial equation is Ax^3+Bx^2+Cx+D
b) Evaluating a polynomial derivative numerically For a function f(x), the derivative of the function at a value x can be found by evaluating f(x+2)-(*) and finding the limit as a gets closer and closer to 0. Using the same polynomial as the user entered in part (a), and for the same value of x as entered in part (a), compute the limit numerically. That is, start with an estimate by evaluating** 72 using...
Use linear algebra to find values of a and b in the function f(x) ax2+bx such that its graph passes through the points (1, -7) and (4,4).
4. Find the degree 3 polynomial y = ax + bx2 +er+d which passes through the following four points. (0.1), (1.-1). (2.-1). (3.7)
(1) (a) Find the equation of the line, Li, which passes through the points A : (4,y,z) = (0, -5, -3) and B : (x, y, z)=(3, 1,0). (b) Find the equation of the line, Ly, which passes through the points C:(x, y, z)=(-1, -3,2) and D: (x,y,z) = (4,3,6). (c) Show that L and Ly are not parallel lines. (d) Write the parametric equations for L, and L2, and then show that the lines Li and L2 do not...
parameter values (2 , 2 , 2 ,4 )
Minimize f (X , X)-X,-AX2+ bx 12+ Cx x2+ dx , 2 2 Use any programing language of your preference .Use constant lambda . Run optimization for three different starting points . Draw chart Optimality gap vs iterations . Minimize f (X X2)-X-AX2 + bx 2+ cx x 2+ . Use any programing language of your preference .Use constant lambda . Run optimization for three different starting points . Draw chart...
76. Let F(x) = 2x' + bx' + ... + cx +1.(4 pts) A) How many real zeros could there be? a) 7 6 6 c5 d4 e 3 f 2 g) 1 no 6A B what are the possible rational zeras? a) = 6) + 2 c) = 1 + 2) = 2 e) = 1 f) *2 g) + 7 26 B
Which of the following functions has the same end behavior as f'(x) = ax3 + bx? + cx + d? Oaxi - bx3 + cx? + dx + e -ax -ax2 + bx + c ax + b
The line of action of force F passes through
point B. Find the moment due to force
F about axis AC, given:
F̄ = <10, 70, -10> lbs,
AX = 6 ft,
AY = 3 ft,
AZ = 7 ft,
BX = 7 ft,
BY= 5 ft,
BZ = 9 ft,
CX = 5 ft,
CY = 5 ft,
CZ = 1 ft
MAC =
lb·ft
M̄AC=
< , , > lb·ft
Find the moment about points A,
B, C,...