QUESTION 2 a) For a function f the divided differences are given by Xa=0.0 T₁ = 0.4 X₂ = 0.7 Axx=10 2 = 76-34-79 13 (i) Determine the missing entries in the table. (ii) Using the complete table, find a quadratic polynomial going through the points.

Q: 64 = (-12), v = (24) € M₂2 0 M22. Let u = 5.1 Write w = -3 2 -5 2 as a linear combination of u and…

A:

Q: 4 0 -7 075 5 1 2

A:

Q: 13. Aij If for a square matrixes, [a] of even order (4) A is skew-symmetric (C) A is symmetric and…

A: Here we have given that aij=i2-j2 So, for all i=j  we have aii=0 that means all the diagonal…

Q: Q2: In the traverse below, find the length of CD, so that the point ADH will be on one line Line…

A: So, θ=180o+18o = 198oθ=198o

Q: Given Ln 8 = = [(1 + (6 - 1) =) *co ( 7 + (1 - 1) ²)] Σ (i (i (i (i n a = b definite integral, that…

A: Explanation of the answer is as follows

Q: What is the type of function for f(x)=x'+sin(5x). O Even function Odd function Neither function

A: The given function is  f(x)=x3+sin(5x) ....(1) And are asking to check whether f(x) is even , odd…

Q: 8. Consider the complex function f(z) = x² + y² + 2ixy. a) Show that f'(31) does not exist. b) Show…

A:

Q: Evaluate each expression, where and indicate addition and subtraction, respectively, using a 12-hour…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 1. For the function y=x2-5x+x, calculate the value of y for the following values of x using…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Let A be an mxn matrix. Prove that W = {x ER" | Ax = 0} is a subspace of R", where W is the solution…

A:

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A: Given that Centerville is the headquarters and the cable company has to expand service to two nearby…

Q: Find ¹JJ²₁ z dV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,2,0), and…

A: The solid E is the tetrahedron with vertices 0, 0, 0, 3, 0,0, 0, 2,0 and 0, 0, 1. Draw the solid E:…

Q: Find the value of ff xye** dxdy (solve) (yeyev) (xex - e*) Option 2 ye" (xe* -ex) (yeyev) (xe* + e*)…

A:

Q: Complete the given statements, where X is any subset of the universe U 1. X∪U = 2. X∩U = 3. X∪∅ =

A: Since you have posted multipart question and we can answer three subparts. So, answering the first…

Q: if Z-4x²-8xy +7y5-3 then find Z, Zy, Zxx, Zyy

A: We know that ,  Partial derivatives of any function having several variables is it's derivative with…

Q: Find the maximum and minimum values of the function and the values of x and y where they occur. F =…

A: F=5x+36ysubject to 6x+4y≤354x+6y≤30x≥0, y≥0

Q: The displacement vectors A and B shown in the figure below both have magnitudes of 1.91 m. The…

A: From the given information we have,

Q: x Question: 41 N = set of natural numbers. Let x, y = N. If x-y then x and y have the same remainder…

A: It is given that N is the set of all natural numbers. The relation ~ is defined on N as x~y if both…

Q: Use the Chain Rule to find aw at w = xycos z; x = t6, y = t³, z = arccost

A: The given functions are w=xycos z ; x=t6 , y= t3 , z= cos-1t. To Evaluate: ∂w∂t. As per policy, we…

Q: Solve the equation. dx dt = 2x1² An implicit solution in the form F(t, x) = C is =C, where C is an…

A:

Q: It is the proportion of the variation in the dependent variable that is predictable from the…

A: We have to find the correct choice.

Q: Approximate 3 sin xdx using six equal subintervals. √³ 0 An approximation for the integral using six…

A: ∫0π3sinxdx

Q: Having suffered an embarrassing defeat in Hobshire, Achlúk is rearming his army of orcs with axes,…

A:

Q: 6. Let S be a set with a finite number of elements, and let f: S→→ S be a map (a) If fis onto, can f…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: Let f(x, y) = x³ √√y. A. Find an equation for the plane tangent to the graph z = (x, y) = (1,4). B.…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: a) 2-3u(t-5) cost = -t Find the 33 Ordine Lap of

A: The given function is ht=-t cos5t-3ut-5cost To find: the Laplace transform of the given function.

Q: Question 1 Consider the points A(2,-1,0), B(3, 0, -2), and C(0, -3, -1). (a) Find the equation of…

A:

Q: 9. Evaluate the integral = R from z₁ = 1 to Z2 = -1. where C is the above half of the circle

A:

Q: Find the volume of the following gure. If needed, round to the nearest hundredth. * **** 297,024 ft…

A:

Q: Q.1B) Prove that: I = ₂ Cos(x) dxdy sin (1) 2 where R the region bounded by x + y = 1, x = 0, y = 0

A: Given that  I=∫∫RCosx-yx+ydxdy Where R the region bounded by x+y=1, x=0, y=0

Q: Graph solution curves of the ODE above for various positive (x = 0.1, 0.2, 0.4, 0.6, ...) and…

A: Given that: x=0.1,0.2,0.4,0.6,...x=-1.0,-0.8,-0.6,-0.4,-0.2 Now solving for the graph of ODE,…

Q: Consider the Initial value problem ry' = y + r ln(r); y(1) = 2 (a) Estimate y(1.5) using Euler's…

A: Euler's method uses the formula: yn+1=yn+hf(xn,yn) to perform the iterations and approximate the…

Q: Solve y" - 16 y = x ex

A:

Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e ²-y² cos(xy)…

A: Given: The function, fx,y=e-x2-y2cosxy.   To determine: The first and second degree Taylor…

Q: Consider the definition of Fibonacci series: where Fo = 0, F1 = 1, F2 = 1, and the recursive term is…

A: Given: Consider the Fibonacci series F0=0, F1=1, F2=1 and the recursive term is defined as…

Q: Given a periodic function # S(x)=√Q, TT, Q=0 Q=x² π, T -A < X <-- 2 T 2 <x< f(x+2π) The following…

A: Explanation of the answer is as follows

Q: Find all absolute extrema of each function. Enter each point as an ordered pair, e.g., "(1,5)". If…

A: As per the question we are given a bivariate function D(x,y) and a triangular constraint region. And…

Q: Find the area of the figure shown using:   Trapezoidal Rule Simpson's one third Rule Compute the…

A: As per the question we are given a graph of a function having following data : x y 0 12.22 20…

Q: Q4: The following data represent weights for 25 items construct a frequency distribution table: 15,…

A:

Q: The graph of y=√x^2+1 is symmetric about y axis. If 3 up 0 down √x^2+1 dx=a and 15 up and 0 bottom…

A:

Q: Given that f(x)=-3sin (2x) and g(x)=-3e*² + x³. Therefore, the correct f(x) g(x) is represented as…

A:

Q: 9. Find the valul of X. noº

A: Given: The following figure:   To determine: The value of x.

Q: Find the following using the table below. AN X 1 2 4 1 2 f(x) 3 4 ƒ'(x) 1 3 g(x) 1 4 2 3 g'(x) 1 3 4…

A:

Q: It is given the parametric linear system: kx + y = 1 |2r + ky = -1 • Solve the system, discussing…

A: It is given the parametric linear system:kx+  y=12x+ky=-1 • Solve the system, discussing all the…

Q: The Eigen value of matrix p is (solve) [0 0 Lo 1 0 0 1 -3 -4] (0,-1,-3) O (0,2,3) O (0,1,3) O…

A:

Q: Find the directional derivative of f(x, y) = 3x² - y² + 5xy at (2,-1) in the direction of -3i - 4j.

A: given function f(x,y)=3x2-y2+5xy given point (2, -1) given direction u→=-3i-4j We have to find the…

Q: Find a linear differential equation with constant coefficients satisfied by e² ³x, and e4x

A: A linear differential equation having auxiliary roots m1, m2, m3,....... have following independent…

Q: Sketch and identify the curve defined by the parametric equations x = sin²t, y = 2 cost

A:

Q: Q6: Find A1 where A = 3 12 -1 0 6 -2 1 4

A: A=1-1036-2214

Q: contour

A: For first Contour we use Cauchy Residue Theorem and for second we use Cauchy Integral Formula.