Two sides of a square lie on the lines x+y= 1 and x+y+2 = 0. What is its area?

Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −8(t + 2) +…

A: Sol:-

Q: 8. (a) Solve (+1)(x-3) 20. (z+4) (b) Prove that cos 2x = Use this identity to show that tan 67° = 1+…

A: I have to answer part 8(b) as you have mentioned. To prove cos2x=1-tan2x1+tan2x

Q: 1a. Given vectors v₁ = (1, 0, 0) and v₂ : (1, 0, 0) and v₂ = (0, 1, 0) in R³, find a vector V3 such…

A:

Q: for the binary system if the entropy =0.9710, so the probabilities are: O a. 0.3 and 0.7 b. 0.2 and…

A: Sol

Q: x(t) So, (t) = F₁ (t) + F₂ ³ (+1) + P₂ (t).….…..….…... dt = = 28(t + 2) — 28(t− 2) - rect(+¹) +…

A: What is Fourier Transformation: Fourier transformation is a tool that is applied when we need to…

Q: Use Muller's method to determine the po a. f(x) = x³ + x² - 4x4 b. f(x) = x³ -0.5x² + 4x - 2 c. f(x)…

A: Here, in the question we are given three set of equations for which we have to find the real root…

Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

A: Given: The system of equations are  x'1=3x1+4x2  x'2=3x1+2x2 ;   x1(0)=x2(0)=1 To find: The general…

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A:

Q: a) Describe the curve obtained when we make y= 2 and 2= √2 b) Represent on this curve the partial…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 7. The least square curve of the form y = ab* to the following data is (a) y = 3 ex In2 (c) y = 3 e2…

A: Hint: Substitute the given values in the given options and identify the correct one.

Q: (a) Prove, by mathematical induction, that for every positive integer n, 7² r² = (n + 1)² T=1

A:

Q: k Q3: Solve the difference equation: y[k]y[k-1]+y[k -2] = () using Z transform.

A: What is Difference Equation: A difference equation is any equation that has a variable difference.…

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given : x'=011101110x  ; x1=e2t111 ; x2=e-t10-1  ; x3=e-t01-1 x10=10 , x20=12  ,   x30=-1 (a) To…

Q: 7. Find y' for sin.x+sin y = 1. 8. Find y' for xcos y = sin(x + y).

A:

Q: Q1 Solve this system of simultaneous differential equations. dy dt dx =+7x + 2 dt +8y = 2et dx 7 +…

A:

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. -2x1…

A: Here we have to find x1 and x2

Q: 6a. Suppose that B is a basis of V. Decompose it as a disjoint union B = B₁ I IIB₂ of non-empty sets…

A:

Q: Find the F.T of the following Signals using. differentiation prop: X(t)=28(t + 2) -…

A:

Q: create a piecewise function showing the rate of money f(x) that must be paid by a customer after…

A: In this question, First, we are to create a piecewise function showing the rate of money f(x)  that…

Q: Suppose you have 3 people: Alice, Bob, and Carol. • Each person is Helpful or Unhelpful. • A Helpful…

A: We consider 3 cases.  Case - 1: Suppose Alice is unhelpful.  => Alice is lying => Bob is not…

Q: Find the F. T of the following Signals X(t)=28(t + 2) — 28(t-2)-rect(²+¹)+rect(^¯¹) 2 2 1 -i 2 At 2

A:

Q: Use a graphing calculator or computer to find the production matrix X, given the following…

A: Solution :  To find production Matrix

Q: Find. F.T the rect(t) vec ) دا t+1

A:

Q: find F-T using differentiation. -2 2 2 ans: F(W) = 4(sinc' (w) - 2 sinc (zw))

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 2. Use Cauchy's Integral formula, Evaluate the foll D I - & tantz Z² C: 171=1

A:

Q: Construct the underlying undirected graph for the graphwith directed edges

A: Given: A directed graph G, To sketch: Underlying graph of given graph.

Q: Let A₁, A2, A3,..., A,, are n points in a plane whose co are (x₁, y₁), (x2, y2),..., (x, y),…

A:

Q: 12. From each penalty Christiano Ronaldo takes, he has a 95% chance of scoring. What is the…

A: What is Probability: Probability is the chance of occurrence of a particular event out of different…

Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A:

Q: Find the Inverse Laplace Transform of each of the following: 1.) 42 9s-30 0 e

A:

Q: The set of functions {Po, P1,..., Pn} in [a, b] is called a set of orthonormal functions, with…

A:

Q: If a non-zero function f(x) is symmetrical about y = x, then the value of p (constant) such that…

A: f(x)= is symmetrical about the line y=x. f(x)=f-1(x)

Q: If a + ß and o² = 5a - 3 and ² = 53-3, find the equation whose roots are alß and B/a.

A:

Q: COS (ㅛ퓨 + 40T)80

A:

Q: Find. For the et e

A:

Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. Answer the following questions…

A:

Q: B)Is w = Ze² analytical function or not?

A:

Q: 2. The condition number of a nonsingular (nx n) matrix is the ratio between (a) its largest and…

A: We want to find true statement.

Q: Using the definition of Big-Oh, prove 2n = O(n¹.00¹). [Hint: O(f(n))={g(n) | 3 c, no • \n > no •…

A:

Q: When crickets chirp 126 times a minute, it is about 67 degrees Fahrenheit. When they chirp 175 times…

A:

Q: Water is flowing through a network of pipes (in thousands of cubic meters per hour), as shown in the…

A: Given that water is flowing through a network of pipes (in thousands of cubic meters per hour), as…

Q: 3. (a) Determine the horizontal and vertical components of the 940 lb force. (b) The components of…

A:

Q: Oil flows into a tank according to the rate F(t)= and at the same time empties 1+t out at the rate…

A:

Q: dy -y- dx 2x, given that when y=0, x=+2

A: We need to solve the given differential equation with its initial conditions. As the equation is of…

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

A:

Q: Given that 0 < a < b, let f(t) = 1 if a <t < b, f(t) = o if either t < a or t2 b. First, sketch the…

A: Given: The interval is a&lt;a&lt;b and the function is ft=1    if    a≤t&lt;b0    if    t&lt;a or…

Q: a) Solve the following first-order differential equations: ER -y- = 2x, given that when y=0, x=+2

A: The given differential equation is:

Q: Use the rhombohedral/trigonal metric tensor to show that the relations between the hexagonal (a, c)…

A: Given: ar=a33+ca2 cosα=1-92ca2+6   To show: a=ar2-2cosα c=ar3+6cosα

Q: d) Applying four iterations of the Interval Halving Method to f(t) = p(t)-50, taking the initial…

A:

Q: Find the level surfaces of the scalar field U = ear, where the vectors are: a = (2, 2, 1) and r = =…

A: