3 X W Compute ww, x.w, and using the vectors w = - 1 W W -5 w.w= (Simplify your answer. Type an integer or a simplified fraction.) and x = 5 -2 1

Q: Calculate GCD(98,42).

A: We want to calculate GCD(98,42)

Q: Use Stokes' Theorem to evaluate fr. F(x, y, z) = xy i+x6j+z² k where Cis the intersection of the…

A: We can solve this using formula of Stoke theorem

Q: A periodic function f(x)=f(x+27) is given by -7≤X<0 2 f(x)= A-X , 0≤x≤a 2 (a) Sketch f(x) and state…

A: The graph of an even function is symmetrical around the y-axis. The graph is symmetrical around the…

Q: (a) Find x, y el such that x+y || x || .. = 1 = || y || = || ** ||**y. ∞o 2

A:

Q: Ex:- f: [2₂2] →IR xzo f(x) = { } 2 Show that fERE 2, 2] and find S²fdx

A:

Q: s+10 s²-s-2' L-¹ {-

A:

Q: The equation of an ellipse centered at the origin is y² = 1, 62 where a and b are distances from the…

A: MATLAB is used as calculator to calculate the results for the algebraic expressions  by typing the…

Q: 4. For the linear canonical system x' = Jx, x € R², determine the nature of the origin as a fixed…

A: Given canonical system x'= Jx  Case-1:-  det &gt;0 if both Eigen value positive:- The product of the…

Q: (b) Determine the orthonormal sequence in 1² obtained by applying the Gram-Schmidt…

A:

Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. TU 3. f(t) = te²t sint gettyimages

A: If the Laplace transform of f(t) is F(s), then it is denoted as Lf(t)=Fs. From the table of Laplace…

Q: Let f(2)= Let f(2)=. Use the polar form of the Cauchy-Riemann equations to determine where f is…

A:

Q: Let E = [-2, 3) U {−3, π}. Determine the following max D inf D interior of D boundary of D closure…

A: Solution:-

Q: Select the prime numbers. 71 1 61 4528

A:

Q: fo 2. The effectiveness of studying for an exam is given by the function E() = (2 have only one full…

A: For absolute maximum or minimum  i) verify that the function is continuous on the given  interval…

Q: The table contains data on the admission price (in dollars) for one-day tickets to 10 theme parks in…

A: Use the formula for Interquartile range.

Q: EXERCISE List the elements of the principal ideals in Zg , , ,

A:

Q: 40. A particle traveling in a straight line is located at the point (1,−1, 2) and has speed 2 at…

A:

Q: COMPLEX ANALYSIS Please answer all questions Show that e.e=e+w for any z, w € C.

A:

Q: Calculate (ri(t) r₂(t)] and [ri(t) x r₂(t)] first by differentiating the product directly and then…

A: In the three dimensional space, a vector A→ has three components, namely the x-component written as…

Q: -3 -5 4 5 -3 2 Let A = -1 1 3.) (AB) C 4.) CTC 5.) 3A + 4B - 5C -4 B -1 1 -1 3 -3 3 5 -5 5 C = 2 -1…

A:

Q: For a sum of ₱8000.00 to double itself in 12 years and 9 months, what must be the rate of interest…

A: Let us considre the principal amount P  The amount obtained after t years and rate of interest r…

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ — e³)i + (y³ + sin z)j + (z³ − xy) k…

A:

Q: A resident alien couple with two (2) dependent children. The husband receives an annual salary of…

A:

Q: Twenty-five years ago, you inherited $5,500 from a relative. You deposited the money into an account…

A:

Q: Let B be an ordered basis for R² and linear transformation to be "identity transformation" L(v) = V…

A:

Q: Given a basis B = {(1, -2, 2), (2, 2, 1), (2, -1, -2)) for R³, - Use the Gram-Schmidt…

A: As you ask multiple different questions so I have to solve only the first one , but for you I solve…

Q: 2. The laplace transform of f(t) = et

A:

Q: Series solution of variable-coefficient ODE Consider the variable coefficient linear second order…

A:

Q: 10. 1 -1 f(t) 3 1

A: Laplace transform of the function

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = 3x³i + 3x²yj + 24xyk across the surface…

A: Flux of a vector field over a closed surface is equal to the divergence of the field in the volume…

Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. HE 2.f(t)= cosh wt sin wt

A:

Q: Suppose that z = x³y²2, where both x and y are changing with time. At a certain instant when x = 1…

A: The product rule of differentiation states that ddtfg=fdgdt+gdfdt. The power rule of differentiation…

Q: Graph the curve given by the parametric equations below, and show its orientation. c=-t², y=-3t,…

A:

Q: lim (x,y)→(0,0) x²y (x² + y)²

A:

Q: You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each…

A:

Q: 1. Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around…

A: We can solve this using Stoke theorem

Q: Maximize the function p = -x+y over the following constraints: a) x+y>=4, x>=0, y>=0, -x+2y<=2,…

A:

Q: Suppose A and B are both countably infinite sets. Show that the union of A and B is also countably…

A:

Q: Let a, b, c be the real number such that b≤0 <a. Consider a 3x3 matrix A = (1-bc1a0001). 1.Two…

A:

Q: 3. Find the laplace transforms of f(t) = ¹e²t sin(2t) 2t 4

A:

Q: 5. Let f(x, y) = x² - y² x² + y² a. In which direction should you move from the point (1,1) to…

A: Maximum rate of change occurs in the direction of gradient vector of the function.

Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. sunt-1 5.…

A:

Q: C) USE PIVOTAL ELEMENT METHOD FIRST APPLICATION: (EXPAND ABOUT COLUMN 2, REF. ELEMENT = a32) SECOND…

A: As per the question we are given a 5×5 matrix A and we have to find its determinant by : Expanding…

Q: 9. A coffee company wants to determine the daily production levels of its three different blends of…

A: To represent the portions of regular, medium and dark used in the blends I, II and III in decimals,

Q: What is the answer if A= 4    5   0  and B= 1   0    0   are multiplied by each other?…

A: Properties of multiplication of matrix  Matrix multiplication exist of the number of column of…

Q: Verify the formula J.F., F.ndS= =JJJ₂ div div F dV G in the Divergence Theorem by evaluating the…

A:

Q: Number 5

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t² − 8)i + tj; t = 8 - T(8)= N(8) = =

A:

Q: Use the Euclidean Algorithm to find (462 , 2002) and express the answer as a linear combination of…

A: Solution

Q: QUESTION 7 Suppose you deposit $10 every week into an account that eams 4% interest compounded…

A: As per our problem, d = $10 r = 0.04 N = 52 (52 weeks in a year) k = 5 years