Show that if v is orthogonal to both w1 and w2, then v is orthogonal to k1w1 + k2w2 for all scalars k1 and k2.Also, Use graphical representation to show how v is orthogonal to the plane formed by  w1 and w2

Q: A political party is planning a two-hour television show. The show will have at least 12 minutes of…

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Q: An “x” in the table below indicates a direct train route between the corresponding cities.…

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Q: I'm confused way you answer exercise. Please could you be more cleared? May be if you transcript…

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Q: Let G be a noncyclic group of order 21. How many Sylow 3-subgroupsdoes G have?

A: Let G be a noncyclic group of order 21. ⇒G=21=3×7 We know that Sylow's theorem, if G be finite group…

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Q: Let A = {z € Z|z ≤ 2}, B = {z € Z|z ≥ 0}, and C = {−3,−1, 0, 3, 4}. (a) Find AU (BNC)

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Q: The motion of a mass-spring system with damping is governed by y'' (t) + by' (t) +9y(t) = 0; y(0) =…

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Q: Transform the following systems of linear equations into matrix forms. a. General equilibrium model:…

A: a. Consider the given general equilibrium model, QD1=30-12p1-14p2; QS1=2p1-5QD2=23+15p1-12p2;…

Q: - Save & Exit Certify Lesson: 11.1b Systems of Equations Applic... Question 5 of 10, Step 1 of 1 A…

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Q: 3. Prove that if fog is injective, then g is injective.

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Q: Problem 6. Prove that the vectors V₁ = (1, 0, -1), V3 = = (0, -3,2) form a basis for R³. Express…

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Q: Let x 2 be any real number. We have π (t) t 0(x) = n(x) log x T(x) = - 2² I 0(x) + log x Ta -dt 0…

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Q: Suppose that you want to find the unique polynomial, y = f(x), of degree ≤ 6 that interpolates the 7…

A: Given the points, xi yi -2 1 -1 3 1 -4 2 -6 3 -1 4 3 6 -2 For a polynomial…

Q: Using Proof of Contradiction, prove that for all integers x and y, if x + y is odd, then x ≠ y.

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Q: - 2. Find the general solution of the ODE: y(4) — 8y' = 0.

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Q: Given u(x, t) = teu, compute: UII

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Q: The graph shows the level curves of a function f(x, y) = 6x² + 6y² and a constraint function g(x,…

A: Given: The above graph shows the level curves of a function f(x, y)=6x2+6y2. And the constraint…

Q: The principal represents an amount of money deposited in a savings account subject to compound…

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Q: A total of 22 men and 26 women were at a party. The average (arithmetic mean) age of all of the…

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Q: This question refers to the following information. 12 10 8 6 2 0 Adult Student Marital Status…

A: Number of widowed student =5 Among widowed number of female 3 Therefore the percentage of  widowed…

Q: Exercise 3.55. Show that every wedge sum of Hausdorff spaces is Hausdorff.

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Q: Use the following definitions to express each union or intersection given. You can use roster or set…

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Q: Consider the polynomial P(x) = 4x² + 5x³ − 2x² + 5x – 6. 5 (c) Show that if z is a complex number…

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Q: Let A = 1 -1 -S 1 -S 1 S 1 Study how the nullspace of A, denoted Nul A depends on the parameter s.…

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Q: Find the general solution to 3y''+xy'+y=0 in the form of a power series around the ordinary point…

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Q: x Find the natural domain of the function f defined by f(x, y) = and /25 - x² - y² draw a sketch of…

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Q: Give your answer accurate to 3 decimal places. The area of an equilateral triangle is decreasing at…

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Q: solve the differential equation y' + 3y = 2xe^(-3x)

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Q: Let A AX Solution. Let X ΧΑ X₂ = = X3 = - (1 2²0) 1 0 6 2 -4 x+20*Z = 4*x+Z x+4*y 4*t+z 5 10 Find…

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Q: 6. Homework. Find the inverse of 673 (mod 892231). Hint: Solve for z in 673r 1 (mod 892231), where z…

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Q: (8) Let P, Q be mathematical statements. Find the truth tables of the following statemen (a) (¬P VQ)…

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Q: For the data points below find the linear spline function, the quadratic spline function and the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4.3 Find the solution subject to the following boundary and initial conditions of the wave equation,…

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Q: (12) (a) Prove that if x € Z and r² is even, then x is even. (b) State and prove an analogous…

A: We prove following statements by using contrapositive method.

Q: 1. Give an example of a function f N N which is injective but not surjective.

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Q: Find an invertible matrix P and a diagonal matrix D such that P¯¹AP=D. 11 0 -6 A=-12 -2 6 20 0 -11…

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Q: How do I find the general solution of the differential equation sec(t)w'+w=1

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Q: For the given value of w in the image and w = c Find the values of c for which a trace exists, draw…

A: The quadric surface are The equation of elliptic cone x2a2+y2b2=z2c2. The equation of Hyperboloid of…

Q: 1) A culture of cells is placed in a petri dish and is allowed to grow. The population of cells is…

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Q: Express the following sets using the roster method. Express the elements as strings, not n-tuples.…

A: Given: xy: where x∈0∪02 and y∈1∪12 To do: Express the given set in roster form.

Q: Use a truth table to determine whether the two statements are equivalent. (r^ q) v p and r ^ (q V p)

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Q: 1. Consider the surface x² + y² - 2xy = x+3y-z = 0 at the point Po(2, -3, 14). Determine the…

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Q: 4. Find formulas for the compositions fog and go f if f(x) = 5x² +3 and g(x) = √4x - 2. ovitettura…

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Q: Discuss the existence and uniqueness of a solution to the differential equation (3+1²) y' +ty' - y =…

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Q: What is 25% of 124

A: the x% of y is =x100×y

Q: Use an Euler diagram to determine whether the syllogism is valid or invalid.   All dancers are…

A: Consider the given syllogism, "All dances are graceful" So, the Euler diagram of this statement can…

Q: 2. Determine all distinct values of -i and plot these values in the complex plane.

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Q: Determine which, if any, of the three statements are equivalent. Justify your answer. (HINT: First,…

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Q: Theorem 2. If G has a composition series, and if H is a proper normal subgroup of G then there…

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Q: Consider the polynomial P(x) = 4x6 − 4x5 + 11x¹ − 7x³ +5x² + 2x − 2. (b) Use Descartes' Rules of…

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