find the orthogonal complement W' of W  and give a basis for W' of the following:  W = {[x y z]: 2x-y+3z=0}

Q: Zet 15 and y=[1²] 6 X = 1 2 ] and Are x and dot product? explain why or why yorthogonal with respect…

A:

Q: Create a scatter plot for the data: (2,3), (3,3), (5,1), (5,7), (8,2), (9,3)

A: Given data :(2,3) , (3,3) , (5,1) , (5,7) , (8,2) , (9,3)We have to create a scatter plot for the…

Q: 3. Find the interval of convergence of the series ☎ n=1 (-1)"+¹(x-2)" 3"-n

A: Find the interval of convergence of the series

Q: Zet U= Span ([]₁[0]) subspace on product of Rs Answer the following questions basal this piven u and…

A: Let  be a subspace of .Answer the following questions based on this given U and the use of the dot…

Q: Can you help me with this? Thanks.

A: The objective of the question is to determine if the statement 'If x squared plus 5x is less than 0…

Q: S is the portion of the plane z = x + 1 that is inside the cylinder x²+²=4. Determine the surface…

A:

Q: In general, most medical practices would hope to see a no show rate that is 3% or below.  As you…

A: The objective of the question is to calculate the no show rate for the medical practice. The no show…

Q: Find the rank of the matrices sin 0 cos 0 0 0 cos - sin 0 0 where x, y, and z are distinct. A = cos…

A:

Q: The eigenvalues of the matrix A are given below. Match them to the appropriate phase portraits of…

A: The eigenvalues of the matrix A are given below.Match them to the appropriate phase portraits of the…

Q: Modeling The following tank mixing problem was on our previous homework: pure water 3 gal/min…

A: After t minutes of process, let A(t) and B(t) be the amount of salt in tank A and tank B…

Q: 4. Solve the Laplace equation on a disk of radius r. with boundary condition given by U(r.,0) =…

A: The Laplace equation on the diskUrr+1rUr+1r2Uθθ=0For symmetrical on θ of U(r,θ)U(r,−π)=U(r,π) ,…

Q: 3. The following transformations were applied to the equation y=3x Reflection on the x-axis - -…

A:

Q: 1. A lifeguard standing at the water’s edge sees a man flailing out in the water. She runs along the…

A: Let's analyze the situation and solve the problem step by step.a. Distance from the lifeguard to the…

Q: Given the following table: X 0,0 f(x) 1,0 0,5 2,119 Calculate f(1,3) by linear interpolation. 1,0…

A:

Q: State the definition of a Riemann sum and the definition of what it means for a function to be…

A:

Q: Suppose a student correctly found an eigenvalue, X, of the matrix numbers. 8~[18] 0 (i) What…

A:

Q: Please explain steps in details: Density of water is approximately 1000 kg/m^3 and gravity is 9.81…

A:

Q: use the method of variation of parameters to find the general solution to the system.  v'(t)=-g -…

A: Differentiating the given equation we get      v"(t) = 0 - 5v'(t) -120(h'(t)/m)              =…

Q: 1 Express the following in integer or rational form 64² × 273 x

A: Express the following in integer or rational form.Note: '' Since you have posted multiple questions,…

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles, and by…

A: To compute area of each triangle, we use the following formula:Area of triangle = 12×base×height.

Q: (6) Compute ind2 (19) modulo 101.

A: We recall the definition of a primitive root.

Q: Exercise 6.3.6 Exhibit a basis and calculate the dimen- sion of each of the following subspaces of…

A: To show that a set forms a basis for X we have to show that an arbitrary element is in it's span and…

Q: Find an orthogonal basis of the column space of the following matrix: 1 -5 6 4 -1 A = -4 -1 -13 9 2…

A:

Q: 14. In this question we will consider the surface S parametrized as r(u, v) = (u²+ v, u, v), (a)…

A:

Q: Problem 0.1 determine whether the following sequences converge as n → ∞o: (1) an (2) an = (3) an =…

A:

Q: Find an orthogonal set with the same span (and same number of elements) as 9 27 12 11 9 12 11 -9 13…

A: Here we have to find the orthogonal set of vectors with the same span.

Q: Calculate the proximity to each other and the angles of each location using Law of Cosines to each…

A: To calculate the proximity (distance) between two locations and the angles formed by these locations…

Q: Problem 0.6 Determine whether the following series converges. (3) o(-1)" cos(+1)

A: The given series .The aim is to check the convergence of the series.

Q: Dan's Auto Detailing business performs two major activities: exterior deanup and interior detailing.…

A: Given the time estimates for 6 cars on Monday morning asCar number1…

Q: 1. Find a vector valued function that represents the curve of intersection of the semi-ellipsoid x²…

A: The equation of the semi-ellipsoid is The cylinder is

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. X f(x) 0 0…

A: x01002004006008001000f(x) 00.8243610.735760.406010.199150.09158Linear Interpretation formula between…

Q: Find an orthogonal set with the same span (and same number of elements) as 7 -5 4 4 7 (198) -10 -8…

A:

Q: Why can we not write the following predator prey model in matrix form X'(t) = AÑ(t)? x'(t) = ax(t) —…

A:

Q: 2 table. Speedometer readings for a motorcycle at 12-second intervals are given in the t (second) v…

A:

Q: Question 1  The process for handling insurance claims at a branch of the Green Insurance Company has…

A:

Q: 4. Use the Remainder Theorem to determine if the given x-value is a zero of the function. 4 5 f(x) =…

A: Since you have uploaded multiple questions according to our guidelines we have solved first question…

Q: The poles of the function (s+1) (s+2)(s+3)(s+4) are at: You can select multiple choices. -4 -3 -1 -2

A: A rational function is one that can be written as a polynomial divided by a polynomial.Let a…

Q: For a polynomial p(x) = anx" + an-1xn-1 +... + a₁x + ao with a; E F and square matrix A with entries…

A:

Q: 2. (a) Show that for all integers n ≥ 0,32n-1 is divisible by 8. (b) Show that 2n -1. (d) Show that…

A: Let's go through each part one by one:(a) Show that for all integers  is divisible by 8.It can prove…

Q: Consider the basic feasible solution of a transportation problem given below 14 5 10 14 5 10 13 11…

A: first of all we have to do allocation in the given transportation problem.After allocation, we have…

Q: The logistic growth function f(t)= 109,000 1+5900e -t describes the number of people, f(t), who have…

A:

Q: The number of gallons, H (t), of a pollutant in a pond changes at a rate of H' (t) = 3 – 5e-0.8√/t…

A:

Q: Let f(x) = ex³-3x² The function has two critical points at x=0 and x=2. (a) Use the second…

A:

Q: 4. Tom measures the angle of elevation of the peak of a mountain at 35º, Susie, who is 1200ft closer…

A:

Q: (10) Find all solutions of the congruence 2 = 22 (mod 53). C

A: We shall be using primitive roots to solve this congruence.

Q: Consider the function whose graph is the surface shown at the right. Which traces go with which…

A: To extract more information out of the graph we will try to match the traces in the following order…

Q: The matrix -1 2 3-6 has a eigenvalues -7,0 with eigenvec- tors (-1,3) and (2, 1). Write the general…

A: For a given differential equation where eigen values and respective eigen vectors are given. We have…

Q: Consider the following vectors: --8-8-8 W2 = 0 Enter the vector n in the form [C₁, C₂, C3]: = 0 V =…

A:

Q: 5) Consider the facility location problem that we covered in lecture: 5a) min z = X n m n ΣΣ cijxij…

A: As per the question, we are delving into modification of a given facility location problem, which is…

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A: Consider function .To illustrate the location of all extrema for given function.First derivative…