Inverse of a Matrix II. Solve the following 1. Find (1,3) entry of H-¹. 2. Find (3,2) entry of H- 3. Find (4,4) entry of H−¹. H = -2 1 1 1 3 -5 013-5 -2 5 -1 0

Q: f(x) = x3 - 2x2 - 15x + 36 = (3 - x)(12 - x - x2) Find the (a)  intervals on which f  is…

A:

Q: Find a set of parametric equations for the curve of intersection of the paraboloid r² + 4y² -z = 0…

A:

Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the…

A:

Q: function √x² + y² + 1 x² + y² 2 f(x, y) = 1 if (x, y) = (0,0) 2 2 (x, y) = (0,0). If not, classify…

A:

Q: The marginal cost of manufacturing a certain product is dC/dX = 17 + 0.005x .  If the cost of…

A: Solution

Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

A: given total cost C=500e3x8 and production function x=5t6+1

Q: Q. If B = {e, = the usual basis R2. Determine its dual basis. ?? ده رده را( = (D, 1)} is

A:

Q: Find the moving trihedral of the curve R(t) = (e^t)sin(t)i − (e^t)cos(t)j + (e^t)k at any t in the…

A:

Q: Determine the solution to the given ODE: = (1 + 2z) √ over the interval from x-0 to 1 using a step…

A:

Q: III. Let S be the quadric with equation 4x² - (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

A: As per our policy, we are allowed to attempt the first part of the question. kindly post remaining…

Q: x² (Figure 24). Verify the 1) Let f(x) = following: X 1 (d) y = x + 1 is a slant asymptote of f(x)…

A: This is question from topic asymptotes.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A:

Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

A:

Q: Set-up the integral which yields the ar

A:

Q: 5. D = 2 5 3 4 00 3 0 24 2 1 Evaluate D.

A:

Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

A:

Q: Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the…

A:

Q: (a) Solve the first order linear ordinary differential equation dy x sin x- + (sin x + x cos x) y =…

A: We have given a first order linear differential equation ,  x sin(x) dydx + sin(x) + x cos(x)y = xex…

Q: The consumption function of a certain nation (in billions) is 9 1 given by C(1) = 5 +7+√7³. The…

A: Solution:-

Q: Use Hungarian Method of optimization. Using the same table of Operators (O) and corresponding Tasks…

A: We can solve  using given information

Q: 5. Use Cartesian coordinates to evaluate Jff ² av where D is the tetrahedron in the first octant…

A:

Q: (0) 2³ e-1/² dz

A:

Q: 8). Prove the validity of the arguments using the method of conditional proof. a). p → q (qvr) →→s…

A:

Q: Use secant method to find the root of x^3 –x^2 – 3x – 3 with two initial points xa=3 and xb=2 and ∈=…

A: We have f(x)=x3-x2-3x-3 iteration formula for secant method is: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn)…

Q: V be a finite dimensional vector spac field F, then there is a natural isom "onto V**. V**. |

A:

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A:

Q: Solve the following ODE in the range [0, 0.2] using h dy y(0) = 2, -t+y=0, dt² = 0.1 with explicit…

A: Given that d2ydt2-t+y=0 with condition y0=2, dydt0=0 Solve using Euler's method when step size is…

Q: 6. Let S be the surface with equation 4y² + 4z² − x² − 16 = 0 a. Find an equation of the trace of S…

A: Solution

Q: III. Let S be the quadric with equation 4x² − (y − 3)² + 4z² = 4. a. What type of quadric is S? Find…

A:

Q: Evaluate the integral 'In (Inz) dz X

A: Note: instead of x there should be z in denominator otherwise x behave likes constant.

Q: T b) Evaluate sin530 de (Take n=7).

A: We need to evaluate numerical integral ,  ∫0π2 sin53θdθ   Here , n = 7 We will use  Trapezoidal rule…

Q: (d) The Cauchy problem u, + 2 uy = 0, u(x, y) = x² on y = r has: (A) a unique solution (C)…

A:

Q: (b) The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy…

A:

Q: Consider the points K(−1, 0, 7) and M(1, −2, 5), the vector MN = , and the line L with symmetric…

A: The dot product of two vectors includes the cosine of the angle between them. When the two vectors…

Q: The curves C1 and C2 are both symmetric with respect to the polar axis. Each of these curves is…

A: As per the question we are given two polar curves C1 , C2 which are symmetric about the polar axis.…

Q: Let V be a finite dimensional vector spac there exists a linear functional f € V* such f(v) * 0.

A:

Q: Find a particular solution of dy =(x−1)² if y=-21when x=-3. dx

A:

Q: 2. Find the inverse of A = 1 1 1 1 2 -1 3 1 -1 2 3 H2H2 1 using Gauss-Jordan method.

A: The solution is given as

Q: III. Let 7 and w be vectors such that 7 = (2,2,-1), ||w|| = √2, ||w|| = √2, v.w=-3, and x =…

A:

Q: te Fourier transfor 33 43

A:

Q: Advanced Math b) The curve y= y = x³ + px² - 12x has a stationary point when X=-4 5 i) Show the…

A: Follow the steps.

Q: Find the volume generated by revolving the area bounded by x². - 4x - 4y + 4 = 0 and y = 1 about the…

A: We will find point of intersection of curves and line to find region bounded , and then rotate it…

Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

A:

Q: 5. Use Cartesian coordinates to evaluate If y² dv where D is the tetrahedron in the first octant…

A:

Q: (k) The solution of the following problem for the heat equation with nonhomge- neous boundary…

A:

Q: a) Answer the following questions, in how many ways: i) Can we select 6 persons to sit together at…

A: Solution

Q: 10 y = 2x or x = 2 (5,10) a

A: The conical tank shown here is filled with olive oil weighing 55 lbft3. How much work does it take…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A: Sketch the region bounded by given curve and line and then rotate it about given line to generate…

Q: The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy dx²…

A:

Q: sforms in finding the solution to the giver +4y= 4e²t. v(0) = -1.v'(0) = -4

A: