Derive the variational/weak form of the problem. d du (1+2) d.r :(: 0 < x < 1 = x, d.r u(0) = u(1) = (0.

Q: 4. A sketch of r(x) is shown. Which of the following could be an equation for r(x)? a. r(x) = (x-a)…

A: The given graph of r(x) has zeros at point a , -b and  -c . For the zeros of r(x) , put  r(x)=0 .…

Q: The linearization of y = (6x- 11)2/3 at a = 2 has the form L(x): = mx +b, Find the values of m and…

A: We have to find out

Q: 3. (D² +1)y=tan (x)

A:

Q: 13.Given f(x)= Vx, find 2f(x)+1 an expression for:

A: Given query is to find indicated expression.

Q: A particle moves along the x-axis so that at any time t > 0 its position is given by a (t) = (at)²,…

A: Given the position of a particle is  x(t)=12(a−t)2

Q: 1. Find the linearization of the given function at the given point.

A:

Q: A. Find the domain and range of f,g,f +g,and f · g following: of the 2. f(x) = vx +1; g(x) = Vx – 1

A:

Q: (5) 1 p1-x p1-x-y (5x-3y) dz dy da

A:

Q: 3. Pikachu claims that you can use the method of undetermined coefficients fo solve the following.…

A: Yes, Pikachu is correct.

Q: What percent of 75 equals 25?

A: Given : To determine what percent of 75 equals 25.

Q: I. Complete the table below.Show your complete solutions below and write your answers on the blank…

A: Given information: Class interval Frequency 21 to 23 1 24 to 26  1 27 to 29 2 30 to 32 1…

Q: 3. Determine the coordinates of the hole(s) in the function below. x² + 10x + 21 f (x) = х2 — х — 12

A:

Q: M(x,y) dx + (y³ + x²y + x) dy = 0

A: To determine the most general function Mx, y so that the following  differential equation is exact.…

Q: 3. Given f(x) = -7x-8-4sin(8)- 3e-6x – 4n² then determine the defining equation of f(x).

A: To determine the defining equation of f(x) from f'(x), we integrate f'(x) with respect to x.

Q: The formula for the quadratic function y = f(x) such that: f(0) = -35, f(-1) = -36 and f(1) = -32 is

A:

Q: f (1) (r-1) (r-8) Find f(0)

A: Find f(0)

Q: 3. Find C so that Y(X)=c(1– x²). За. у (2) - 1 Зb. у(1) %3 2

A:

Q: Q3 The length of a curve from (0 ,-3) to ( 3,3)is given by Vx4 – 2x2 + 2 dx Which of the following…

A: Length of curve

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: Consider the following. f(x) =  x − 5 x2 − 25 ( Identify all intercepts. (If an…

A: Consider,

Q: Expand the quadratic term and calculate the directional derivatives. i L = [1 ²² + x ²2 (₂₂ (2) d) ]…

A: As per the question we are given a quadratic Lagrangian involving the inner product between the wave…

Q: 1. S+1)dy y2+4

A:

Q: (a – x) ſa – x - (b -x)x - b If y = la -x + x - b then find dy whever defined. dx

A: Introduction :

Q: Determine for which values of m the function (x) = xm is a solution to the given equation. d²y dy -…

A:

Q: xyy =x +1, with y(1)=2

A:

Q: dy et + 4x Find if y = The answers have been slightly simplified. %3D dx 3x – 1 (3x – 1) (e² + 4) +3…

A: The given equation is y=ex+4x3x-1.

Q: 2x +1 (ii) Sa. dx . 6x² + x – 15 (ii) J

A: We first factor the denominator

Q: Perform the given functions through method of inspection. y(y3-x) dx + x (y³+x) dy = 0

A: We will find out the required solution.