If a 1 : 192 movie set scale model of the Empire State building in New York City is 84 inches tall, what is the actual height of the building, in feet?

Q: Functions of Two Variables Display the values of the functions in Exercises 37-48 in two ways: (a)…

A: If the graph of z=f(x,y) is sliced by a plane: z=c, then the two dimensional cross-section obtained…

Q: Classify each of the following differential equations by stating the order, the dependent and…

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: Solution:           Example:  6 is an even integer.           Now,   6=2×3 ,3 is an integer.…

Q: Use the Bisection method to find solutions to within 10-6 a. x³ + 3x² − 1 = 0, [−3,−2] - b. ex - 3x²…

A: a). Result is correct up to six digit.  Hence solution is -2.879583

Q: Let X be a vector space. Let || and || || be two norms on X. When are these norms said to be…

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Q: a) x+2 Y+z =>X-Y H B. X-0 =0

A: To Prove: (a) x+z=y+z⇒x-y=0. (b) x-0=x. Using basic axioms of field.

Q: Consider the following system of equations: x₁ + x₂ + x3 = 5 x1 - x₂ = 2 x₁ + x₂ = 5 Include the…

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Q: 2.1 For each of the following statements, find a graph with the required property and draw it. (a) A…

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Q: Find the Laplace transform, if it exists, of each of the following functions f(t)= {e-2x (5 sin2x -…

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Q: Question Add or subtract: 11 27 30 40 Enter your answer as a reduced fraction. Provide your answer…

A: Sol:- -1130-2740Least Common Multiplier of 30, 40The LCM of a, b is the smallest positive number…

Q: give 5 examples of ordered pairs of a one to many correspondents

A: Take some order pairs like as (1,2),(1,-1),(1,5),(1,9),(1,12) Here note that the domain set is {1}…

Q: 1) An= (₁ +4: give the first & terms. ²70 2

A: Since you have posted a multiple question according to guildlines I will solve first(Q1)   question…

Q: B: Fit a second order polynomials to the data in the following: 5 6 13 X Y 1 4 3 8 4 10 52 12 7 10 8…

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Q: 1. Consider the problem minimize subject to 2 = : 2x1 + x2 x₁ + 2x2 = 4 X1, X2 ≥ 0. Plot the…

A: Given: The linear programming problem, minimize z=2x1+x2subject to x1+2x2=4…

Q: 19) For the ODE x(t) = e²t (c₁ cos(√3t) + c₂ sin(√3t) − sin (3t). cos (3t), let y = x' and 37 Y=…

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Q: Question 1 For the line 3x - y = 12, complete the following ordered pair so that it is a point on…

A: Question 1's answer:  Given equation of line is 3x-y=12 .. ..........................(1) Let the…

Q: Linearize the following nonlinear systems. 1.- y = cos(5x³ - 2); 2.- y = 2x+3x1x2 5xỉ xả x = 10° X₁…

A: We have to linearize the following functions: 1). y=cos(5x3-2),with  x=10°. 2)…

Q: If their positions are po = -3 (-²³). Ã₁ = (6).. 4 do they collide?

A: The general equation of the circle whose position: p⇀=ab and radius: r can be defined using the…

Q: When the centered difference approach of f(x) = sinx-2³ +1 is used to estimate the first derivative…

A: Consider the given function, fx=sinx-x3+1 Now, f'x=cosx-3x2 So, the true value at x=0.14 will be,…

Q: prove that: if n is a natural number and r is the remainder when n is divided by 3 then if t=5 or…

A: Solution :      Here given, if n is a natural number and r is the remainder when n is divided by 3.…

Q: 2. Show that if vER is a vector and that a ER is a real number, then v^ (av) = 0

A: We shall answer the Que in next step using exterior product or called as wedge product. We also…

Q: Q2/ A. Determine the point of intersection and find the plane determine by these two lines z+1 x-2…

A: As per policy ,we have to do only one question so please post other questions in another post.…

Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) b. y² = x²(1-1) c. y² = -x² (2+ In(kx²) 2 d.…

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Q: (a) Write the Cayley table for the group U(15). (b) Give an example of an infinite group and…

A: In first part we find cayley table with the help of addition modulo in 2nd part we take example in S…

Q: The trajectory of the particle in projectile motion is parabolic and is given by: y = xtane where…

A: Given y=xtanθ-gx22v0cosθ2. Substituting, v0=26.5m/s, y=20.3m, x=23m,g=9.81m/s2.…

Q: ²+y²-4 Y-2 7² Let f(x, y): (a) Find and sketch the domain of f. (b) Identify the equations of the…

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Q: (1) Let a be a fixed element in the commutative ring R, and let A- (xe R: xa = 0). Prove that A is…

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Q: Consider g(x, y) = -5x²y³ 3x4 + 7y6¹ 0, (a) Show that 9 (b) Find g (0,0). if (x, y) = (0,0) if (x,…

A: The given function is                   g(x,y) = -5x2y33x4 + 7y6 , if x,y ≠0,00 ,               if…

Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

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Q: Using the substitution y=vxanddy=vdx + xdv, solve the homogeneous differential equation [xsin…

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Q: Which of the following differential equations is NOT homogeneous? A B dy dx D x+y x-y (x² − xy + y²)…

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Q: - = A solid is bounded by the spheres x² + y² + (z − 1)² : 1 and x² + y² + z² = 9. Write a set of…

A: Given that a solid is bounded by spheres                     x2+y2+(z-1)2=1 and x2+y2+z2=9.

Q: -) Write the Cayley table for the group U(15).

A: U(15) is the set of all elements in ℤ15={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14} ; x≡x ,such that…

Q: Show that if v∈R^3 is a vector and α∈R is a real number, then v∧(αv) = 0.

A: Given: v∈ℝ3 α∈ℝ To prove: v∧αv=0 where "∧" is the wedge product.

Q: 8. We have seen that the matrix R(0) = ( cos sin 0 around the y-axis rotates vectors in R2…

A: Given: In this problem, the given matrix is R(θ)=cosθ-sinθsinθcosθ , rotates vectors in…

Q: 3. The blocks shown below slide together down the incline at the same acceleration. The coefficient…

A: Given:   The coefficient of friction, μ, between the block D and the incline surface is 0.5 The…

Q: dy 4x+xy² dx y-x²y =

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Q: y'-2y = y²; y = 3 when x = 0

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: C. Use Polya's four-step problem-solving strategy to solve the given problem 1. If the length of the…

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Q: Give the converse and contrapositive for each of the fol- lowing propositions. (a) p→ (q^r). (b) If…

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Q: 4.14 Give an example of an infinite group G such that every element of G has finite order. 4.15 a)…

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] x→−2− x² + x - 2 and lim

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Q: Prove that the ring of integers ≺ Zp,⊕,⊙ ≻ can be embedded in every integral domain          D = ≺…

A: Given that ℤp,⊕,⊙ is a ring of integers. Also D=D,+,· is an integral domain of prime characteristics…

Q: Find the Fourier Series of the function: f(x)=X+n if - < X < n and f(x+2) = f(x)

A: Sol: Fourier series of function fx on interval -L≤ x≤ L is defined as: fx=A0+∑n=1∞ An·cosnπxL+∑n=1∞…

Q: SS, [(2x - z)dydz + x²dzdx -xz²dxdy],

A: We use divergent theorem. This theorem change surface integral to volume integral.

Q: 6

A: An infinite series has the representation ∑n=0∞ anxn, where an's are the coefficients of the nth…

Q: Q3) Plot a discrete graph using the equation below y[n]u[-1-n] -2.08 [n 1] +2.08[n - 2]

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Q: Q1: prove the following: a. Prove that For all real numbers x and y, if x +y 22, then either x ≥1 or…

A: a. We will prove  for all real numbers x and y, if       x + y ≥ 2 , then either x ≥ 1 or y ≥ 1 by…

Q: Solve (a) (2x²+2y2-y) (b) (x2+x-²) dx - y dy = 0 dx + (x²y+y³+x) dy = 0

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Q: Find a bounded linear functional f on ³ such that f(3) = 3 and ||f||=

A: Consider bounded linear function on l3  f: l3→l f(x)=x.a where x= (x1,x2,x3)  and a=(a1,a2,a3) x.a…