8 people fit comfortably in a 2 yards by 5 feet area. Use the value to estimate the size of a crowd that is 5 yards deep and 1- mile long.

Q: *) Use the Wronskian to determine whether the functions y₁ = sin(3x) and y₂ = cos(4x) cos(4x) are…

A:

Q: A linear system is defined by three independent variables that obey the following equations 3x1 +…

A:

Q: I am asking ,How to get roots In Scientific calculator. I don't need solution.

A:

Q: 6. Given the final tableau (after deleting the columns of the artificial variables) for phase 1 of…

A:

Q: lim (x,y) →(0,0) 23, x³ sin(y) x² + y²

A: Note: As you asked only part (b) so, I answered here only part (b).   We have to determine limit (if…

Q: - x² + 8x between = Use the Fundamental Theorem of Calculus to find the "area under curve" of y x =…

A: Sol:- Area under a curve definitionThe area under a curve is the area between a curve fx and the…

Q: Q1: (a) Find orthonormal basis for the subspace W of vector space Rª [a b] b-c c - a b consisting of…

A: Given that the subspace W of vector space R4 consisting of all vectors of the form…

Q: Use a comparsion test to determine whether the following series converges or 2" sin²(5n) 4" + cos² n…

A: Given series is ∑n=1∞2nsin25n4n + cos2n

Q: Let à = (1, 1, 4) and b = (1, 2, - 5). of b onto a. - Find the projection proj- 6 = b =< -

A: For the given vectors the projection of b on a is given by

Q: Which interval of 0-values corresponds to the the shaded region in the figure if ƒ (0) = 3.1 - 0? On…

A:

Q: A rectangular campsite on the shore of a lake is to be surrounded on three sides by a narrow, 90-m…

A:

Q: (a) Obtain the Green function for the boundary d²y 1 dy value problem dx² x dx y(1) = 0. = f(x),…

A:

Q: = Find the volume of the ellipsoid x² + y² + 6z² 64.

A: Given,                x2+y2+6z2=64.

Q: Q-5: Find an adjacency matrix and a graph representation for (V, E), the graph G V = {(0,0,0),…

A: find an adjacency matrix and a graph representation for the graph G=V,E where V=0,0,0 , 0,0,1 ,…

Q: Translate the following arguments into symbols and prove their validity using rules of inference.…

A: To find- Translate the following arguments into symbols and prove their validity using rules of…

Q: How many positive integers less than 10000 are there which contain at least one 7 or at least one 9…

A:

Q: Solve the following: (Show all details) 1. Find the determinants of the following matrices using…

A: To find the determinant of the given matrices using Laplace expansion method. (1) A=907-32-1241

Q: 7. Compute the second fundamental form.

A: Given: Xu,v=u2-cosv, u+sinv, cosv We have to compute the second fundamental form.

Q: 3. How many solutions does the equation ₁+ ₂+ 3+₁ = 20 have, if 21, 22, 23, 24 are each required to…

A:

Q: CLO 2: Apply different methods to solve the linear systems of the form Ax = b in physical problem…

A: Given: If the weather is good today, then the chance are: the weather will be good 60 % tomorrow,…

Q: Evaluate the triple integral (x + 8y) dV where E is bounded by the parabolic cylinder y = 4x² and…

A:

Q: Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check…

A:

Q: 9. Determine y at t=0.2 (0.2) 0.8 by the fourth order Runge-Kutta method, given that y' 1 t+y'…

A: To find- Determine y at t = 0.2 0.2 0.8 by the fourth order Runge-Kutta method, given that y' = 1t +…

Q: Find an eigenvector corresponding to the eigenvalue 4 (2238 28). 22 -24 18-20 of the matrix The…

A:

Q: Q8. Evaluate F. dr using Stoke's theorem when F = (2xy − x²)ī — - C (x² - y²)ī and C is the boundary…

A:

Q: A first-order recurrence sequence is defined by the system X1 = = 1, Xn = 4 xn-1 -2 (n = 2, 3, 4,…

A: First order sequence

Q: 22) Solve the following system of ODEs by computing the eigenvalues and eigenvectors of the…

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

Q: Find the L{3sin4x} 1 show all the derivation using integration by parts

A:

Q: 15. Given the graph of f(x) below, determine the equation for f(x) in terms of the parent function…

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: The…

A: Let us consider an alternating  series ∑n=1∞(-1)nan The series is convergent if,  limn→∞an=0 an is…

Q: Let f be a continuous functio to R. Let a and b be two distinct ntained in U and fbe differentiable…

A:

Q: Let P(x, y) = Shop x is open on day y" Let the domain of discourse of x be shops o campus and the…

A: let Px,y:= " shop x is open on day y" let the domain of discourse of x be shops on campus and the…

Q: Find Hand S for H = c₂(x)+₁(x) (x) d dx S={feC [a,b] | f(a)=0}.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Solve the following difference equations: (a) x₁+1 = √x +3 (b) Xt+1=-3x+4

A:

Q: T 3. fz sin4 y cos7 y dy 2

A:

Q: 3. Let R be a ring and b E R be a fixed element. Let and prove that T is a subring of R T = {rb | r…

A:

Q: If G = (V, E) is a graph, then Σvev deg (v) = 2|E|.

A:

Q: 22. A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface…

A: Given : F=xi+yj+x+y2k             z2+2x2+3y2=4 To Find : Surface integral

Q: Find the flux of F across S, [/F. F. N ds where N is the upward unit normal vector to S. F(x, y, z)…

A: Given that: Fx,y,z=xi+yj+zk S:x2+y2+z2=49 To find the flux of F across S.

Q: k=1 Find the 15) 18 k=0 convergence se- (-1)kk k(k+1)

A: You are not mention which question I have to solve. so I will solve 1st question if you want…

Q: b) Use Algorithm 2.24 to solve the system of linear equations (90-0 1 10 = 3 1 1 1 10 6

A:

Q: (a)Define laplace transform of a function f(t) and its inverse. Is inverse unique ? (b) Obtain a…

A:

Q: 2. Jack went on a hike for 2 hours and 15 minutes. According to his fitness watch, he burned 1013…

A:

Q: Suppose A € M₂ (R) is not a multiple and consider the linear function L on M₂ (R) with the criterion…

A: Introduction: The eigenvalues and eigenvectors are very important in studying linear algebra.…

Q: AE4.6 Show that the pair (A, C) is observable if and only if the pair (A-LC, HC) is observable for…

A: Given that,   The pair A,C   n×p matrix L and any non-singular p×p matrix H.  Then , A-LC,HC is…

Q: - Solve the differential equation 2x(2x − 1)2 = (x + 1) + y = 0 using - dx method of Frobenius.

A: To solve differential equation:  2x2x-1dy2dx2-x+1dydx+y=0 using the method of Frobenius.

Q: Q6. Find the inverse Laplace transform of (5² +3) s(s² +9)

A:

Q: 3. Find SVD (the Singular Value Decomposition) of a matrix A = 1 0101 0011

A: We have A=100101010011 Now,  AA'=100101010011100010001111=211121112 Now, we find the eigenvalues of…

Q: Apply anthe problem y' = Richard san extra polation ity: Itt year=e. and approximate y and 1 ร 2 h =…

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

Q: 25. Use Taylor series method of order two for the step by step integration of the differential…

A: