prove the following. (∀x,y)(x < y → x2 < y2). if one number is smaller than another number, then its square is smaller than that number too.

Q: Consider the initial value problem below to answer to following. a) Find the approximations to…

A: "Since you have asked multiple questions, we will solve the first question. For the remaining kindly…

Q: 2.2. Consider the following matrix Y and matrix Z. Each column represents a particular meat…

A: Let x,y and z be the beef ,pork and chicken respectively We write this in augmented matrix form then…

Q: Newton's law of cooling relates the rate at which a body cools to the difference in temperature…

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Q: 12. Determine the number of integer solutions for X₁ + x₂ + x3 + x₁ + x₂ < 40, where a) x, 20, 1≤i≤s…

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Q: 3. If the mass of cylinder C is 50 kg, determine the mass of cylinder A in order to hold the…

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Q: 4. The velocity of a particle which moves along the s-axis is given by v = 2-4t+5t, where t is in…

A: We use to formula :  a = dv/dt v = ds/dt in order to find s,v,a at t=3 s.

Q: 2. (Section 15.8) Use Lagrange multipliers to find the point on 2² + y² +2²= 20 that is closest to…

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Q: Convert the following logical equation into CNF. Show all steps. AAHBACAD) A(-BA A) Your Answer:

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Q: it a, b, c ER are such for all XFR, a t² + bx + (20₁ b². Yul Lo. Amit: Find the minimal value of the…

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Q: A healthy child's systolic blood pressure p (in millimeters of mercury) and weight w in pounds are…

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Q: A Company wants to assign 10 salespeople to 4 regions in the northern part of a state with…

A: Given- A Company wants to assign 10 salespeople to 4 regions. The table is as follows: Region 1 2…

Q: 1. Consider the vector space R³. Find all values of c such that the vector (2c², -3c, 1) € span({(1,…

A: The given vector space is  ℝ3 .                  And spanning set is ,…

Q: lim INT(3x) = x→4+

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Q: Problem 8. Let fg,: I→ R2 be given by f(x) = (0,r), g(x) = (1,2). a. Specify a homotopy h: Ix I→ R2…

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Q: 2 Evaluate the function up to 6 terms. Use limits for a = 0 and b = 2. Present your answer in 6…

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Q: r(t) = 4 + sin(0.263t+4.7) + cos(0.526t+ 9.4) Here, t measures time in hours after midnight on a…

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Q: Determine the values of a and b such that the eigenvalues of the given matrix are 9, -3, and -12. -7…

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Q: Problem 4. Let LC R³ be the lower hemispherc, i.c. FOLLO ALLE = {(x, y, z) | x² + y² + z² = 1 and z≤…

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Q: 6. Calculate the kernel of the following matrices as spans of some vectors. (a) (b) 20-1 3 -1 2 04…

A: The given matrices are  (a).           2 0-1   3-1 2   3-2   0 4   5-1  (b).           2-1   1-1-3…

Q: A function F (x,y) is said to be homogeneous of degree n if F(yx, yy) = y"F(x,y) Determine which of…

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Q: You take out a home mortgage for $170,000 for 30 years at 5%. The regular monthly payment is ______

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Q: (roots of unity) The extension of the real field to complex numbers ensures that any polynomial of…

A: The equation  xN - 1 =0 i.e. xN =1 has N- roots which are called Nth roots of unity, and are given…

Q: Computee for the following matrices: a) A= 1 lo 20 1 -2 0 0 10 0 2 T 0

A: Since you have posted multiple questions, so we will solve only the first question for you. The…

Q: 40. Find a counterexample, if possible, to these universally quantified statements, where the domain…

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Q: 65. xyz + 1 = 0. 66. xy=y-z=z-x. 67.x=y=0. 68. y = z = 1.

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Q: Determine the Green's function and solve the following problem y" - 2y = e²x, y'(0) = y(0) = 0

A: according to guidelines we can solved only first question thank you   Wehave to find the solution…

Q: 31 Find the integer a such that 0 < a < 113 and 10270 +1a³7 (mod 113).

A: Given that 10270+1≡a37mod 113. To find the value of a such that 0≤a≤113, proceed as follows.…

Q: Find the Inverse Fourier transform of e) e 2 cw-4Jj 4- C4-wJj

A: Given: In this question, the given details are Here, the given expression is, e2(ω-4)j4-(4-ω)j To…

Q: 3. (Section 15.8) A rectangular box (without a top) is to be constructed having a volume of 54 in³…

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Q: Objective 2.16 Matrix A has the dimensions 4 x 1 and Matrix B has the dimensions 2 x What are the…

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Q: Find the linearization of the function z = x. L(x, y) = x√√y at the point (-4, 64).

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Q: What is the surface area and volume of cylinder with a diameter of 24 in. and a height of 20 in.

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Q: For each of the following matrices, find three linearly independent eigenvectors. 200 (a) A = 01 0 H…

A: A matrix is a mathematical object containing numbers arranged in rows and columns. If the number of…

Q: Find an equation for the tangent plane and parametric equations for the normal line to the surface…

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Q: 1. Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to…

A: Note: As per your requirement I solved here both the questions.

Q: 2 = g(x) 2 2. If f(x) (fg)(x) 3. If h(x) = √2x, p(x) = x³, find(a) (fog)(x) (b) (3ƒ – g)(x) x² + 3,…

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Q: Write the statement in symbolic form. Let p and q represent the following statements. p: The dog is…

A: I have splited the sentence and followed the logic.

Q: Suppose f(x, y) = √tan(x) + y and u is the unit vector in the direction of (1, 1). Then, (a) ▼ ƒ (x,…

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Q: Find the value of K so that the given line has slope m (k+3)x-3y=1

A: (k+3)x-3y=1

Q: Solve the given Ordinary Differential Equations (ODE) by using the method of separation of variables…

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Q: Consider the following sequential game. L Player 1 OR, L L OR, R OL, L, R Player 2 OL, R R R L (4,4)…

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Q: please aswer 2.4

A: We already know that the rotation matrix (about the origin) is M=cosθ-sinθsinθcosθ.

Q: 3. Consider the following system of inequalities. { 4x² +9y² 24x - 90y + 225 < 0 x2 - 6x - 4y +25 ≥…

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Q: 2.14 Prove that if n > 4 is composite then (n-1)!= 0 (mod n).

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Q: A function F (x,y) is said to be homogeneous of degree n if F(yx, yy) = y"F(x,y) Determine which of…

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Q: x+2y+3z=4 19. 3x+6y+z=2 (no solution) 2x+4y+z=-2 [x-2y+3z=4 20. 3x-y-z=2 x+y-3z=-2

A: Total Equations are 3x+2y+3z=4→(1)3x+6y+z=2→(2)2x+4y+z=-2→(3)Converting given equations into matrix…

Q: The triangular region shows the number of possible ounces of pepperoni slices, x, and the number of…

A: x---------&gt; the number of possible ounces of pepperoni slices y--------&gt; the number of…

Q: 4(dq/dt) + 2q - 4 = 0 Construct a slope field for the differential equation. Do not sketch solution…

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Q: Let F, K, and L be fields with F ⊆ K ⊆ L. If L is a finite extension of Fand [L:F] = [L:K], prove…

A: It is given that F, K, and L be the fields with F⊆K⊆L and L is a finite extension of F and L:F=L:K.…

Q: Q13. Convert the following hexadecimal number to its corresponding decimal representation: (2E4A2)…

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