Q1\ Answer only two of the following questions: A\ Evaluate f sinx esecx cos²x dx. [15] [8 4 3 1 B\ If A 2 7 ,B= ,Find A.B. 2 5 8 61 13 41

Q: In Numerical analysis, explain and solve a sum using Curve Fitting clearly with every step, and…

A: Given: Numerical analysis To find: Curve fitting

Q: Q4 Calculate the integral Se²y-2x (y + 2x)³ da Where R is the region formed by joining the vertices…

A:

Q: The relationship between sales S and the amount x and y spent on two advertising media is given by…

A: Given: S=200x5+y+100y10+y To find: Solution

Q: A sales person makes a base salary of $400 per week plus 12% commission on sales. (a) Write a linear…

A: Salary person makes a base salary of $400 per week plus 12 % commission on sales. Lets say he makes…

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A: Given A(t) is the amount of salt in the tank at time t. Then dAdt=R1-R2 Where R1 Rate at which A(t)…

Q: 1 2. Let R be the region bounded by the curves y = x and y = x³. Let S be the solid generated when R…

A: We have to find the volume of S by both the disk/washer and shell methods and Check that results.

Q: xy" + 2y' - xy = sech²(x)

A: Given: xy''+2y'−xy=sech2(y) To find: Solution

Q: Evaluate the surface integral F. ds for the given vector field and the oriented surface S. In other…

A:

Q: d be distinct nc c+d. Then a 1 b d 1 is

A:

Q: Consider the initial value problem y+y=1-₁ y(0) = yo What equation expresses the requirement that…

A: Given differential equation is y'+65y=1−16t and y0=y0. Write the auxiliary equation, which is given…

Q: (1) 2xyy' + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

A:

Q: The conjugate harmonic function v(x, y) of u = In (x² + y²) is

A:

Q: Q1- Choose or branch ( A-find the optimum values of X₁, X2, and X3 3X1 +2X2-X₁ = 1 2X1-2X2-4X3=2…

A:

Q: A skydiver weighing 176 lbf (including equipment) falls ve 12 s of free fall. Assume that the force…

A: Given that a skydiver weighing 176lbf (including equipment) falls vertically downward from an…

Q: Exercise 2 Using the Laplace transform and showing the details, sovle the IVP y" + 3y + 2y: { 1 if…

A: We have to apply the Laplace transform.

Q: lid obtained by y the curve y = o x=1 will be:

A:

Q: Find the Laplace transforms of: 1. f(t)t cosh(at) 2. g(t) = sin(xt) 3. h(t) = f(t) + g(t)

A:

Q: 7. Which of the following is a sixth root of unity? Oi O-i √3 1. 0+

A:

Q: the an ¹x y is differential ec

A:

Q: Q2: The body shown in figure is a rectangular box whose dimensions are L (length), B (width), H…

A:

Q: 2) Consider the following system: x + by = 9 a₁x +9y=-27 Determine the value(s) for a for which the…

A:

Q: uiz 5 Use the third order Runge-Kutta ethod to solve the differential equation x² + y) at x = 0.01…

A:

Q: Find the residue of 3 Z 2 z² - 1 at z→ ∞0.

A: We have to find the solution of the given problem.

Q: Q4// choose the correct answer : 1) find the approximate solution x3 using N-R method for the…

A:

Q: (a) i. Determine the bilinear transformation that maps the points 1 - 2i, 2 + i ,2 + 3i respectively…

A: Solution a: (1) Let z1=1-2i, z2=2+i, z3=2+3i and w1=2+2i, w2=1+3i, w3=4 Since bilinear…

Q: Q4) find the soluation of differention equation using exact equation 2) 2xy' = 10 x³y5+y

A:

Q: Choose the wright answer of: Z(7)* O 7z/(Z-1) O 1/(z+7)

A:

Q: Exercise 2 Using the Laplace transform and showing the details, sovle the IVP 1 if 0<t<1 g" + 3y +…

A:

Q: 3) Determine the point(s) of intersection of the lines L₁: (3,1,5) + s(4,-1,2) and L₂: x = 4+ 13t, y…

A:

Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

A: Given simultaneous differential equation is dxdt+dydt+y=tdxdt+4dydt+x=1 With condition x(0)=1,…

Q: Let F(x, y, z) = z tan-1(y²)i + z³ In(x² + 1)j + zk. Find the flux of F across S, the part of the…

A:

Q: Show all your work to receive full credit. Write your answers as complete sentences. 1. Use the…

A:

Q: a Show how Pip can complete the circuit by adding less than 120 cm of track. b Show how Pip can…

A: Since you have posted multiple questions, we will solve first three question for you. Kindly repost…

Q: Q4: Using Cayley - Hamilton theorem to find the inverse of the matrix A, where 1 1 2 A = 3 1 1 2 3 1

A:

Q: 5. 17+9x + 3x log(x) can be described as being in □ Omega(x²) Omega(z log(x)) □ Omega(x¹) Omega(x) □…

A: As per our guidelines we are supposed to answer only one question. Here question 5) answered.

Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

A:

Q: Question 2.10c. Consider the following system x + y + z + w = 1; x y z w = - Find the solution of…

A:

Q: Express in p/q form 1) i) 0.005 ( bar for 005) ii) 1.3 ( bar for 3) iii) 4.78 ( bar for 8

A:

Q: In this problem, x=c, cos(t) +c, sin(t) is a two-parameter family of solutions of the second-order…

A:

Q: Let CR be the space of all continuous and bounded functions x(t) on R with norm ||x|| = supR |x(t)|.…

A: As per the question we are given a normed space over the field CR and an operator A such that :…

Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

A:

Q: Solve the given initial value problem and determine how the interval in which the solution exists…

A:

Q: 5. At 60°F a particular blend of automotive gasoline weights 6.17 lb/gal. The weight y of gasoline…

A:

Q: Give the domain of f, the domain of g, and the domain of m, where m(x) = f[g(x)]. f(u) = In u;…

A:

Q: Research work : Power series of Ordinary Differential Equations

A: Introduction: The majority of ordinary differential equations are tedious and complex, and they…

Q: 1) find the approximate solution x3 using N-R method for the equation f(x)=x6-x-1 with initial value…

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

Q: Find the Laplace transform of 03

A:

Q: The surface of many airfoils can be described with an equation of the form xa₁x y ‚ = + 0 = ₂2 [²₁…

A: You can find matlab code and answer for this problem in next step

Q: A) Find the Laplace transform of P 0 3

A:

Q: Cable AB passes over the small ideal pulley Cwithout a change in its tension. What length of cable…

A: