Find two unit vectors orthogonal to Enter your answer so the first vector has a positive first coordinate 9₁ = 92 = -2 ---- 3 3 L 0 and v =

Q: Problem 4: Use the following set of equations to answer questions (17, 18, 19, 20, 21, and 22) (A)…

A: According to bartleby guidelines we do only 1st question and next question can be reposted. Here we…

Q: You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally…

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Q: Question 3: Compute the derivative of the following function and find local extrema: f(x)=√x² +4.0x²

A: f(x) = {√(x2 + 4)}ex^2 Differentiating w.r.t x, we get,        f'(x) = 2x{√(x2 + 4)}ex^2 + {x/√(x2 +…

Q: 4. For the additive (no-interaction) model Yij = μ + a₁ + B; + εij i = 1,2,3,4 and j = 1,2 If we…

A: The equations are yij=μ+αi+βj+εij where i=1,2,3,4; j=1,2 and β=μα1α2α3α4β1β2

Q: Solve the heat equation. Uxx = Uz и Ик U (0,2)=0 u(x,0) = 1. 2 o<t<! U (1,t) = t

A: Apply separation of variables to obtain a fourier series solution.

Q: The hypotenuse of a right triangle has one end at the origin and one end on the curve y = = √√√x. X…

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Q: Explain why it is important to know the algebraic or simplex method in obtaining solutions of LP…

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Q: A weight of 10 lb stretches a spring 6 inches. The weight is drawn 4 inches below its equilibrium…

A: We can use the relationship between the weight, spring constant, amplitude, and period of a…

Q: Given the area enclosed by the following equations, find the following: a. area, A b. first moment…

A: The given region is bounded by the curves y=x-3210+12 and y=2x-52+2. The moment of inertia of a…

Q: Problem 1. For each of the following equations determine whether they are linear or not. a) 6x+7=12…

A: A linear equation in one variable  is expressed in the form Ax + B = 0. Here x is called the…

Q: For an invertible matrix A, prove that A and A-1 have the same eigenvectors. How are the eigenvalues…

A: x is the eigen vector of Agives Ax=λx, where λis the eigen value of  A Ax=λx⇒A-1Ax=A-1λx⇒Ix=λA-1x…

Q: Eliminate the arbitrary constant from the relation cy²=; (x + y − 1)2 = c/x. 3) 2 = x² + y.

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Q: tan (x+1) b) Show the equation CSC X the equation is identity? Why or why not? = sin x is true for x…

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Q: An investment of $8000 earns interest at 6% p.a., compounded semi annually over 2 years is what?

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Q: Find exponential function of

A: Given the function              g(x)=2log12-x-3.

Q: 4) Find the intersection AnB, given A= {11, 12, 13, 14} and B= {26, 27, 28, 29}. 5) Find the union A…

A: 4.Given two sets: A=11, 12, 13, 14 and B=26, 27, 28, 29. To find: A∩B. 5.Given sets are: A=3, 4, 5,…

Q: Use the Euler's method to approximate the solution to the following initial-value problem (step size…

A: Given: y'=te3t-2y;  0≤t≤1. y0=0. We have to use Euler's method to approximate the solution of the…

Q: Consider the curve given by the equation y2+x3=0. Find its curvature at the point (−1,1).

A: The given curve is: y2+x3=0   . . . . . (1) We have to find its curvature at the point -1, 1.

Q: Analyze algebraically what special case in simplex application is present in each of the LP model…

A: As per the question we are given the following linear programming problem MAX Z = 3x1 + 2x2 subject…

Q: If a fence requires a post every 10 feet, how many posts are required for a fenced enclosure that…

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Q: 6. Let -=[2] -- [4] U= Show that w is a linear combination of u and v. b) Find the span of {u, v}.…

A: Given: u=12, v=1-1, w=30. To Do: (a) To show: w is a linear combination of u and v. (b) To Find: The…

Q: Alvin has a dart board at home. The area of his dartboard can be expressed as r² - 14лr +49π.…

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Q: Question 1 Let f(x) = r². For each of the following functions, (i) state how the graph is related to…

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Q: Solve. Show your solution (s) on the graph = 7 cos [ = x] - 6; -3.5 D -720 ≤ x ≤ 1080

A: Use the given equation.

Q: Solve this LP problem: 1. Maximize z = 20x₁ + 10x₂ + x3 Subject to: 3x₁ - 3x₂ + 5x3 ≤ 50 x₁ + x₂ ≤…

A: (a) To determine the direction in which the solution space is unbounded, we can inspect the…

Q: y" − y = 5 sin² x ; y(0) = 2; y'(0) = −4

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Q: Given the matrix 3 3 390 03 -1 1 1-3 5 -2 -19 -3 -1 -4 -2 -1 -17 Use elementary row operations to…

A: The given matrix is, A=33390|      3-11-35-2|-19-3-1-4-2-1|-17 To Write: The above matrix in reduced…

Q: Find all values of the angle 0 (in radians, with 0 ≤ 0 < 2π) for which the matrix -[ cos 0 -sin 0…

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Q: Solve this LP problem: 1. Maximize z = 3x₂ + 3x₂ + 3x3 Subject to: 2x₁ + x₂ + x3 ≤ 2 3x₂ + 4x₂ + 3x₂…

A: a) To use the M-Technique to show that the optimal solution includes an artificial basic variable,…

Q: Which vector equation below represents the line in R³ that passes through the point (-4, 5, 7) and…

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Q: 7. Prove: P(A) ≤ P(B) ⇒ A ≤ B.

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Q: Use the matrix inversion to confirm the following statements in R²: i. The inverse transformation…

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Q: Let X = {aa, bb, ab}, Y = {a, b}, Z = {ab, abab, ababab}. Answer with the elements of following 3…

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Q: 6. Given a Z transform 2-1 X (z) (1-z-¹) (11.4z¹+0.482-2)' determine the initial and final values of…

A: Given: Xz=z-11-z-11-1.4z-1+0.48z-2To find: a) xkk=0 and xkk=∞              b) Inverse Z-transform,…

Q: 2. Determine the equation of: a. The cubic function with zeroes 1, -2, -5 and y-intercept 10. b. The…

A: (a) Let fx=ax3+bx2+cx+d The function  has zero at 1,-2,-5 and y- intercept at 10 that f0=10…

Q: The distribution law of random variable X is given: Find the central moment of order 4. X. Pi 0 0.1…

A: From the given distribution of X, the mean of X is given by,       E(X) =  ∑xP(X=x)                =…

Q: 3) When is there a need to use artificial variables in simplex application? Explain.

A: We have to write that when we need to use artificial variables in simplex application.

Q: A solid of revolution is generated by rotating the region between the x-axis and the graphs of f(x)…

A: Given: The equation of the curve fx=2x+3 , x=7 , x=10 To Find: Using the disk method, evaluate the…

Q: Prove that limx → c f(x) = ∞ if and only if for every sequence an that is in the domain of f and…

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Q: Consider a function space in (-∞0, ∞) with orthonormal basis {n}. Show that any function f(x)…

A: suppose that we express the function is the given format in the question -   f(x)= ∑n cnϕn^(x)⇒f(x)=…

Q: he Perez family is making a patio in the back yard. They are using patio blocks that measure 12…

A: Answer given below.

Q: 15) Using 4 order Rung-Kutta method, the value of K₂ needed to evaluate y(1) is (A) 0.75 (D) None…

A: (15)  Given differential equation is  dydx=x+y-1 ,    y0 = 1             Take h = 1 ,  fx,y=x+y-1,…

Q: how do you do the scalling to obtain the approximation?

A: Scaling down theory:    In practice it is best to “scale down” each approximation before proceeding…

Q: How do you solve for d) and e)?

A: We will find revenue and then profit using  profit = revenue - cost

Q: The present value of an annuity is given. Find the periodic payment. (Round your final answer to two…

A: Given that Present value PV=$6000 Interest rate r=6.4%=6.4100=0.064Compounded quarterly m=4…

Q: Let f(x, y) = (x + 1)² + (y − 1)4 - 100, in its domain a) f has no minimum but has maximum b) f has…

A: The given function is f(x,y)=x+12+y-14-100. Which of the following options are correct. (a) f has no…

Q: Consider the arguments below: Amin doesn't like mathematics or he attends the classes. If Amin…

A: First we write the primary statements. Then we write the premises using variables and we find the…

Q: The answer was 10 cm. Is there another way to come up with 10 as the final answer?

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Q: D. Which of the following families of real functions are algebras of functions? (For each, either…

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Q: plan to build a cylindrical container with no top. The material used for the lateral sides costs $4…

A: Answer given below.