@ © Find the particular solution for y² + 4y = 3 (Sc (²x) at 3 (SC(2x) at y(0)=1 & yo = -6

Q: Find the limit x lim (1.3) (0,0) 2¹+ y² + y8

A:

Q: = 1. Compute the normal curvature and the geodesic curvature of the circle a(t) = (cost, sint, 1) on…

A: We have to compute the normal curvature and the geodesic curvature of the circle a(t) = (cost, sint,…

Q: 1. Find all solutions of the congruence 5x+3x²+x+3 = 0 mod 30.

A: The congruence .To Find:Solution of the above congruence.

Q: Let F be a field and let n be a positive integer. Then There exists a primitive nth root of unity in…

A: Suppose that F be a field and let n be a positive integer. Then there exists a primitive nth root of…

Q: . Find the Fourier transform of the unit gate function |1| 121|2

A:

Q: part d) Use T3(t) to approximate the value of d(10 + b/6 ). (Round your answer to two decimal…

A: We have to find the approximate value of the function  using the function where .Here,  is the third…

Q: Use Cramer's rule and the calculator provided to find the value of z that satisfies the system of…

A:

Q: Find the orthogonal projection of y = W = Span U₁ = -2 3 Ex: 1.23 112 = 0 []} onto the subspace

A:

Q: The number of elements in a finite field of characteristic p is of the form p\power{n}, where n…

A: We have to prove given statement , which is that "The number of elements in a finite field of…

Q: Construct a tree diagram showing all possible results when three fair coins are tossed. Then list…

A:

Q: 4. (i) For an odd number n, suppose that 2" # 2 mod n. Can n be a prime? Explain. This is called the…

A: Eulers and fermats little theorem will used

Q: Eigen vectors and Eigen values

A: Given system of differential equationsX′=[01−10]XCoefficients matrix A=[01−10]Characteristic…

Q: Consider the following equation. (y - x)² + 2 = xy - 3 Check that the point (2, 3) lies on the…

A:

Q: you want. 1. Prove that the sequence an converges. The sequence is defined by ao = Task 2. Let an be…

A:

Q: (b) Prove that Z/4Z is not a field.

A:

Q: This problem mainly tests your calculator skill. I would like you to do as much as you can on the…

A: A point of inflection on the curve at which the concavity change. i.e., the sign of the curvature…

Q: Consider the set S composed of the points on the line segment S₁ between points (-1,0) and (2,0) and…

A:

Q: Use determinants to find out if the matrix A is invertible. As part of your answer, clearly state…

A:

Q: 4. Solve the following initial value problems using the Laplace transform: a) y' + 3y = 0, y(0) =…

A:

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

A: Total outcomes are 36.Determine the number of outcomes for which the sum is prime.

Q: a) State the intersecton of an indexed family of sets.

A: According to guidelines we can do only first question thank you .we have to state the intersecton…

Q: a. Given that v1 = eigenvalues. A₁ = X2 = [] and 72 = 4 are eigenvectors of the matrix -17 12 -18]…

A:

Q: Exercise 6.1.14: Find the Laplace transform of sin(w(t – a)).

A: We have to find the Laplace transformation of the given function

Q: Let A, B,C M.(R) be three square invertible matrices with real coefficients. Solve the following…

A:

Q: do you keep flipping inequalities to end up at =2/m? Also, if it Xn - Xm, wouldnt it be (1+1/n) -…

A:

Q: Find kif 2x + 1 is a factor of kx3 + 7x² + kx-3. a) k = -2 b) k = 2 Oc) k = 1 O d) none of the above

A:

Q: dy y(cos 2t)ety — 2(sin2t)ety + 2t + (t(cos2t)ety – 3)- dt = = 0, y(0) = 0

A:

Q: Choose 2 Are the vectors -2 11. 2 [B]+ -2+ If they are linearly dependent, find scalars that are not…

A:

Q: Establish (1 + √2)^²) Convergence and find the limits of:

A:

Q: Find the minimum norm solution of the underdetermined linear system 2x₁ + x₂ + x3 + 5x4 = 8, -x₁ -…

A:

Q: (sin (2x)) dx = sin(2x)e-7x 7 sin(2x)e-72 7 Step 9 Hide steps Simplify. Hide steps + Simplify the…

A:

Q: the differential equation that describes the motion.

A: Spring constant k=8g/s2 and the mass stretched the spring by,  l=245 cmThe damping coefficient…

Q: Find a basis for the orthogonal complement of the subspace of Rª spanned by the following vectors.…

A:

Q: Determine the value of k so that 3x - 1 is a factor of 3x³ + 8x² + kx-2. a) k = 3 b) k = 1 c) k=-1…

A:

Q: c) 1. Most animals can walk 2. Everything that can walk is an animal 3. Something is an animal

A: Lewis Carroll's models for logic involve breaking down statements into universals and particulars,…

Q: If 2x³-9x² + 4x-7 is divided by x-3 to give a quotient of 2x²-3x - 5 and a remainder of -22, then…

A:

Q: Let R4 have the Euclidean inner product. Find a unit vector with a positive first component that is…

A:

Q: Lebesgue's theorem: Let f: [a, b] → R 3 be bounded f is Riemann integrable if and only if it is…

A:

Q: Please show step by step solution for problem b

A:

Q: 7. all integers. a) \n (n²+1>n) b) n (4n = 3n) c) 3n (n = n³) d) Vn (4n > 5n) Determine the truth…

A:

Q: 12. Let xo < x < < x, and let f be continuously differentiable. Show that a f[xo, x₁, x₂] = f[xo,…

A: A continuously differentiable function has a derivative at every point, and that derivative is…

Q: how to simplify (ANB)U(ANB)U(A'NB')?

A:

Q: Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. 4 4 ✓1.S=…

A: As per our company guidelines we are advised to solve only the first question. Kindly repost the…

Q: It is not always possible to construct by ruler and compass, a square equal in area to the area

A: We have to show that It is not always possible to construct by ruler and compass, a square equal in…

Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

A: Given that .The objective is to express the matrix  as a product of elementary matrices.

Q: Solve the boundary-value problem y" - 6y' + 9y = 0, y(0) = 6, y(1) = 0. Answer: y(x) Note: If there…

A:

Q: 12* 8* 6+ 1- 2+ 3/ 2+ 12*

A: Given puzzle can be solve using some basic steps.

Q: Solve the system of linear equations Using the Cramer's Rule. E A) 182 B 8x+6y=1 Sx - 2y = -37 D 691…

A:

Q: Show that the following signals are periodic and find its period. a.y[N]=cos(38лn)-sin(5лn) b. x(t)…

A: Given information: a. Signal b. Signal To find: Determine if the signals are periodic and find their…

Q: For the given values of n and r, evaluate (a) n! (n-r)! and (b) = n! r!(n-r)! n! (a) When n = 13 and…

A: