1/4 f O √x sinx ²dx

Q: Question 4 (a) An object is moving with position vector r(t) = cos(@t)i+sin(wt)j +at²k . (i)…

A:

Q: shown in Figures 1.2.9 through 1.2.14. In each of Problems 24 through 29 identify the differential…

A:

Q: Solve the initial value problem ut +2ux = -tu(x, t), t> 0, x ER u(z,0)=sinx.

A:

Q: (-11 if Find the Fourier integral of f(x) = - 6 if 0 if - ≤ x ≤ 0 0 π

A: The given problem is to find the Fourier integral representation of the given function over the…

Q: 2. Find the characteristic polynomial PÂ(t) of the matrix A given below, where a, μ € C. α 0 1 0 0 0…

A: We will use the basic knowledge of linear algebra and vector spaces to answer both the parts of this…

Q: Determine a solution u(x, y) of the Laplace equation subject to the following boundary conditions u…

A:

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I dA

A: We have to find double integration by iteration for given integral..

Q: Let A(0, -2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2. m(PB) (2) Convert the…

A:

Q: eff62² dV where G is bounded by ax +2y + 4z = 8 in the first octant. 3. Evaluate

A:

Q: 17. The Heaviside Switch function for f(t)=- 18. The function L{(t-1).H(t-2)}= 19. L{²-2sin(bt) +2e+…

A:

Q: e Find the volume of the parallelepiped whose edges are represented by A=i-13j+4k, B = 31+2j-7k and…

A: Solution :

Q: Compute the value of the following integral: ∞ (t) cos() 8 (t-1)dt ∞ 2 where 8(t) is the unit…

A: According to the definition ∫f(x)dx=F(x)+C, where dFdx=f(x). A delta function is defined as δ(t-a)=0…

Q: If the slope of the line (k+1)x+ ky - 3 = 0 is -2, find k.

A:

Q: A nonhomogeneous equation and a particular solution are given. Find a general solution for the…

A:

Q: The domain of the relation A is the set of all real numbers. zAy if |r-y| ≤ 2

A: Solution

Q: Choose the correct answer ) The PERT method to solve? ) Game theory b) transportation model ) To…

A: In this question, the concept of PERT is applied. PERT The Program Evaluation and Review Technique…

Q: S - 3- Question 2 Determine the Fourier series of the periodic function shown in Figure 2.1. 1.5 7…

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Use the method of undetermined coefficients to find a particular solution to the given higher-order…

A:

Q: 5. Find the slope for f(x,y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

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

Q: n economics the Lorenz curve is a function L(x) defined on the interval [0, 1] as follows. The…

A: We will use the basic knowledge of functions and set theory to answer this question correctly and…

Q: Solve 1 0-²40 = 5 x (0) = - 4, y(0) = 10

A:

Q: 3. Compute each matrix sum or product if it is defined. If an expression is undefined, explain why.…

A:

Q: a. x²y" - 3xy' - 2y = 0 b. 25x2y" +25xy' + y = 0

A:

Q: 22) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

A: We can solve this using given information

Q: A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held…

A:

Q: 1. Given the function f(x,y) = xexy², find fx and fy.

A:

Q: 3. y" y'-y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: First find the commentary function then particular integral and then use the initial conditions as…

Q: 2 Find the volume of the parallelepiped whose edges are represented by A = î - 13ĵ+ 4k, B = 3î + 2ĵ-…

A: Follow the steps.

Q: Convert 100 dollars to "widgets" (1 dollar = 3.94 widgets) 39.4 3940 394

A: Given, 1 dollar = 3.94 widgets. So,100 dollars = 100 times of 3.94 widgets…

Q: 2 Find the volume of the parallelepiped whose edges are represented by |Ả=î - 13ĵ+ 4k, B = 3î +2j-7k…

A: Let us consider the parallelepiped formed by the vector a→,b→,c→ The Volume of parallelepiped is…

Q: Differential equations Pl

A: Given,            y''-y'+9y=3sin(3t)

Q: Use induction to prove that for all integers n > 1. n η ΣΤΗ Σ+1 = n+1

A:

Q: ONA I 3/5*2= purs ove (8.0-8) Integ *** Find the total work done in moving a particle in a force…

A: There is some reading problem, but i try to realise the actual values.

Q: 12. Marlon can purchase a company car for his real estate business for $30 000. Interest lost on the…

A:

Q: س (Laplace transform method) حل نمائید. (x) = = - [ (x -tut )dt 6

A:

Q: The auxiliary equation for the given differential equation has complex roots. Find a general…

A:

Q: A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held…

A:

Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

A:

Q: Find the directional derivatives of p = 8xyz³ - 2x²y²z² at the point (2,-1,1) in the direction…

A: Given:   φ=8xyz3-2x2y2z2             Point P=(2,-1,1)          vector v=2i-3j+1kTo find : direction…

Q: a) Find a Lagrange interpolating polynomial in the form of P, (x) = ax³ + bx² + cx+d befitting the…

A: using Langrange's interpolation formula , solution of the given problem is below...

Q: xy" + 2y + xy = 0 find two linear independent solutions by using Maclaurin series

A:

Q: solve by using substitution or elimination  by addition.   3x-2y=5  -6x+4y=-10

A:

Q: b) Obtain a Taylors series of degree three for the function f(x) = log (1+2x) near x = 1 hence…

A:

Q: 3. Given the function f(x, y, z) = x²y³ - y²z³, evaluate fxx, fyz, and fzx.

A:

Q: Below are listed the ages (in months) of children at a daycare center. Choose the CORRECT stemplot…

A: According to question : Steps to Make A STEM AND LEAF PLOT : A) On the left hand the number at tens…

Q: (b) Let D be the region of R3 which lies outside the cylinder x² + y2-1, inside- the sphere x² + y²…

A: let D be the region of R3 which lies outside the cylinder x2+y2=1, inside the sphere x2+y2+z2=4 and…

Q: rt 100 dollars to "widgets" 9.4 3940

A: Given 1 dollar=3.94 widgets So for $100 widgets is equal to = 100*3.94 =394 widgets

Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

A:

Q: SR f(y-2x²)dA Where R is the region bounded by |x|+|y| = 1?

A:

Q: 9.9 The area of the shaded region shown in the figure can be calculated by: 4 = 1³² (-3²x²2+5) dx =…

A: