Hand written plz In each of Problem, find a fundamental matrix for the system with the given coefficient matrix. 15 010 48

Q: Let Q be an open subset in C and f be a complex differentiable functic et BC 9 he a closed rectangle…

A:

Q: The area bounded by the curve y = f(x) and the lines x = 0, y = 0 and x = t lies in the interval (a)…

A:

Q: Use bisection method to find the root of x^3 –x^2 – 3x – 3 with two initial points xl=3 and xr=2 and…

A: The given equation is x3-x2-3x-3=0. To find: the root between 2 and 3 .

Q: 6. The matrix P = has eigenvector general solution of the system ' = Px. with corresponding…

A:

Q: 9: Fibonacci method can be applied if the function is continuous only.

A: This is the question of Numerical Analysis.

Q: The polar equation r(0) = 4 + 5. sin(0) is graphed below. 15- 14 13- 12 11 10- 9 8 7 6 5 O 4 3 2 10…

A: Please see the type syntax

Q: -2 -5 -2 Let A = 3 5 -2 Find the third column of A1 without computing the other two columns. 1 3 3…

A:

Q: Applications of Integral Calculus Suppose the shaded region below is revolved about the y-axis.…

A: The given curve is y=sinx2. We have to calculate the area between x=0 to x=x. Let y=f(x) be the…

Q: 19 1. The expression -1 n is equal to n=1 9 O 45 O 50 O 362880

A: I have given the answer in the next step. Hope you understand that

Q: If NG and both G and G/N are soluble, show that G is soluble.

A:

Q: Fill in the table and sketch the graph of the following equation. f(x) = -2x - 5 3x + 18 =

A: The given function is f(x)=-2x-53x+18.

Q: 2- Let f: [-2,2] → R be defined on [0.2] by f(x)= {2 prove that f is Riemann integral. X≤0 x < 0

A: Given : f : [-2, 2] →ℝ defined as   f(x) = 3x≤02x&gt;0. To prove : f is Riemann integrable.

Q: Find the differential equation such that y(x) = c₁(x-4) 8 +c₂ln(x-4) (x-4) 8

A:

Q: The initial value of function f(s) = O 10 O 4 O o O 8 4(s+25) s(s+10) at t=0 is

A:

Q: Complete the parametric equations of the line through the point (5,-7,-8] and perpendicular to the…

A:

Q: 17: Which of the following directions is descent direction for f(x) = 2x1 + x² - 2x₁x₂ + 4 where Xo…

A:

Q: Let f [0, 1] → [0, 1] be continuous. Show that there exists an element x = [0, 1] such that f(x) =…

A:

Q: decimal places.) Show ALL work. 2³ sin(x)dx, n = 8

A: Given,            ∫04x3sin(x)dx;    n=8

Q: 14 Across: uxx + ux + uy - 0 is a ______differential equation.

A: The given Partial differential equation is uxx+ux+uy-0. To find: the type of given Partial…

Q: Find the complete integrals of the equation (p² + q²)y=qz

A: We know that , First order non linear partial differential equation has the form ,  fx , y , z , p ,…

Q: Find the determinant of by cofactor expansion. 5 0 7 0 1 -7 - 4 0 0 6 -8 0 0 0 3 0 -20 -5 4 0 1 0 0…

A:

Q: (1) Jacob graduated from Harvard university graduation, (Jacob has been in the US. for five it is…

A: These are from Logic.

Q: Find inverse Laplace: 1 es S

A:

Q: 1) Prove the following Logical Equivalences involving Conditional Statements. a) p-g--pvg b) ---- c)…

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is…

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A:

Q: Solve e^(3z-7)=1

A: Given,  e3z-7=1 ⇒lne3z-7=ln1   [Taking logarithm both sides] ⇒3z-7=0   [since lnea=a   and   ln1=0]…

Q: Given that x² + 2x - 2 = 0 has root between 0 and 1. Find the root to 1 decimal place using the…

A:

Q: Find

A: We solve by Gram-Schamidt process.

Q: Let f: [-2,2] → R be defined on [0.2] by f(x)= {2 rove that f is Riemann integral. X≤0 x < 0

A:

Q: Find all real zeros of the function. g(x)=-4x (x²-25)(x-3) If there is more than one answer,…

A:

Q: ulsu (un (a) u

A:

Q: Find the differential equation such that y(x)=c₁(x-4) 8+c₂ln(x-4) (x-4) 8 O 64x2 d²y d²y dx² +60x dy…

A:

Q: 3. Suppose that {f(t)} = F(s) with F a differentiable function and that L{f'(t)} Exists. Then…

A:

Q: Let y = [3] and u = [2] to the line through u and the origin. Compute the distance from y

A:

Q: 5: The Hessian matrix for f(X) = x}xy + x3x3 at the point (1 2 3], is given by: [6 0 31 [3 0 61 [18…

A:

Q: Taylor Series Approximation Formula f" f"" (a) ² f(x) = f(a) + f'(a)(x − a) + ¹¹¹(a) (x − a)² +…

A:

Q: Consider the differential equation ex dy gy + dx X (x > 0) - x⁹ (a) State the form of the…

A: The given differential equation is dydx+9yx=exx9 with x&gt;0 The solution to the given question is…

Q: The minimizer point for the function f(x) = x² + x² + 2x2 + 4 by applying the steepest descent…

A: Given that: fX=x12+x22+2x2+4 The objective is to determine the correct answer. Now solving, Compute…

Q: -49 fy y(u)du = sen (7t) * g(t) for some function g(t). 11. By solving the equation y(t) = = sen…

A:

Q: companies that sell identical products. Compan or Php 27. Meanwhile, Company 2 can sell the e…

A: Game Theory is the study of decision making strategies of two individuals or agents where their…

Q: 11: Given the function f(x) = 8x² - 4x₁x₂ + 5x² and Xo = [5 2]. Then G-¹g at Xo is equal ((G is the…

A: The given function is f(X)=8x12-4x1x2+5x22, X0=[5,2]T. To find: G-1g at X0 where G is the hessian…

Q: x¹ + x² + 1 I(x² + 1)² -dx.

A: The given integral is: ∫x4+x2+1xx2+12dx Evaluate the given integral.

Q: Using the logical tools developed in this course to determine if the following reasoning is valid.…

A: Introduction: Natural deduction is a tool to establish the validity of an argument. It is mainly…

Q: Find the Fourier series of the function f(x) = |x| which is defined over the range - TT<x< TT.

A: Fourier series of the function

Q: temperature T of a heated circular plate with the origin being at the center 64 T(x, y): = x² + y² +…

A: The given problem is to find the rate of change in temperature T from given point within given…

Q: = 2. Find the Fourier series of the function f(x) -4, 4, - π < x < 0 0 < x < π

A:

Q: 2= The deformations of a body are presented as follows. Find the Cauchy strain tensor [Cij] and…

A: From the above details we get,

Q: 7 Find arc length: r(t) = 3 cos ti + 3 sin tj + 5t²k Find K: r(t) =; t = 0

A: This is a problem of differential geometry.

Q: Find the differential equation such that y(x) = c₁(x-4) ª +c₂ln(x-4) (x-4) O 64x2d²y+ +60x+y=0 dx…

A:

Q: 1 ++²)

A: