u. (vx w) = v. (w x u) = w (ux v) = −u (W x V) = −w. (vx u) = -v (u x w). .

Q: (a) Consider a model of market equilibrium in which the current supply of firms is a function of the…

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Q: Let A be the set A = {1, 2, 3, 4) and let B be the set B = {5, 6, 7, 8). What is an element in B x…

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Q: Given the function f(x, y, z) = (x + y)2(x + y² +z): Is the function satisfiable, and if so, which…

A: A function f(x, y, z) is satisfiable if there exist atleast one particular set of values of x, y,…

Q: ll ordinary points of the DE (0.5x²+2x+25)y"- the DE from 2a, find a lower bound for the radius of…

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Q: b) Determine all real values of x for which ✓log2x log₂ (4x) + 1+ log2x log2 V . (₁) +9=4 64.

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Q: The matrix M = What is det(M)? 06 0 1 5 -19 7 4 -3 -1 has eigenvalues λ = 1 and λ = 5.

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Q: The value of a new sports car (Lamborghini) appreciates at a rate of 3% per year. If the vehicle was…

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A: The given integral ∫2.83.8xexdx. We have to estimate the integral using 1-point Gauss quadrature…

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Q: a) Copy and complete the table below:   Original Function y= 5t3 - 5t f(z) = lnz h(x) = -5e x…

A: Here, the given data y=5t3-5t ,fz=lnzhx=-5ex

Q: 2 n=1 ผ 7 n 1.02 8 'n

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Q: d 1 ds [(s + b)n_ + b)n L(t²e¹⁰t) = (−1)n+1. Find n - b.

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Q: Suppose f'(x) = cos(x2) and f(0) = 2. A. Use a graph of f'(x) to decide which is larger: A. f(0) OB.…

A: Given information: f'x=cosx2 and f0=2 To find: a) Use the graph of f'x, estimate where the function…

Q: What is the dimension of the following linear space? Pn Note: Pn is the set consisting of the zero…

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Q: 5. Evaluate the integral of 1 y¹/³(x³ + 1) over the region which is bounded by the x axis, the line…

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Q: Let K be the collection of all compact sets in R and Cx the collection of all countable subsets of…

A: The Borel σ-algebra on a topological space X is the smallest σ-algebra that contains all the open…

Q: Why are there different Fourier series equations? I don't quite understand what the difference…

A: an=2T∫0Tf(t)cos 2πnTtdt a0=1T∫-T/2T/2f(t)dt an=2T∫-T/2T/2f(t)cos 2πnTtdt The only difference between…

Q: 8. Write the equation of the graph below. (-3,9) (-2,5) (-1,3) -5-4-3-2 10 -9 -8 7 ·6 --5 4 3 2 -2…

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Q: Let Fg elements be represented with the binary polynomials where p(x)=x²+x+1=0 mod 2 and x-x=0 mod…

A: The idea of the problem is to look reduce higher polynomial powers of x by using the equation x^3 +…

Q: Use the Error Bound to find the least possible value of N for which Error(SN) ≤1x 10-9 in…

A: Simpson's rule is a numerical integration technique used to approximate the definite integral of a…

Q: Suppose a function f is defined by setting f(x) = Σ32¹+¹x5n+7 (that is, f is defined to be the limit…

A: A geometric series is given by fx=∑n=0∞32n+1x5n+7 .   It is known that the sum of a geometric series…

Q: 8 Σ( n=1 8 η1.01 5 η

A: The given series ∑n=1∞8n1.01-5n. We have to determine whether the series converges or not.

Q: For each give the initial amount, the relative change as a percent and if increasing or decreasing.…

A: (1) We are given that         At = 270(1.75)t        => At-1 = 270(1.75)t-1     Then,…

Q: Compute the surface integral over the given oriented surface: F = y³i+ 6j - xk, portion of the plane…

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Q: Prove that 4 does not divide n^2 + 2 ( n squared plus 2)

A: We will show that 4 does not divide n2+2 by method of contradiction i.e , we will assume to the…

Q: Suppose that 0 0. Prove that there is an open set O containing E such that 0m* (0) ≤m* (A) and an…

A: The outer measure m* is a way to assign a non-negative value to any subset of the real numbers that…

Q: 3. Find the surface (S) area of the portion of the hemisphere f(x, y) = √25x² - y² that lies above…

A: Given that, Region R is bounded by the circle x2 + y2 ≤ 16 In x-y plane, the graph is: In the 3-D,…

Q: Let f(z) = u(x,y) + iv(x,y). If u (x,y) = 2x-x^3+3xy^2, determine v(x,y) such that f(z) is analytic.…

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Q: 2. A botanist needs to determine the height of a tree. She measured the tree's shadow to be 2.3 m…

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Q: 26. The speed of a plane is 420 km/hr and its heading is 140°. A wind of 40km/hr is blowing on a…

A: I have explained everything with in the solution. Please go through that.

Q: Let A = (23¹) and B=(2) What is AB?

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Q: Problem 2 M, A, T, H are four positive integers in the following vertical addition. MA T H A T H T H…

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Q: The slope field from a certain differential equation is shown below. Which of the following could be…

A: Given that the slope field  from a certain differential equation is shown below: (a).    y=x2.

Q: 5. A 3 x 3 matrix is given by A = 0 20 -i 01 (a) Verify that A is hermitian. (b) Calculate Tr (A)…

A: A 3×3 matrix is given by: A=10i020-i01

Q: 3. If f(x) = 2√√x+1-5, determine ƒ (8).

A: Given that, If f(x)=2x+1-5, determine f(8).

Q: Determine the truth values of each of these statements if the domain for all variables consists of…

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Q: ercise 108. Determine all maximizers and minimizers of the function f(11, 12, 1₂): ect to = 1…

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), (a)=x₂…

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Q: Consider the graph of the function f(x): ya -2. 0 2 (a) 4 y = f(x) 6 8 Evaluate the following…

A: Concept:The area under curve between two points is found out by doing definite integral between two…

Q: The following table shows the annual number of PhD graduates in a country in various fields.…

A: Number of Social science Doctoratex Number of Education doctorates 60 30 120 40 280 120 460…

Q: Oil is being pumped into a tank at a rate of r(t) liters per minute, where t is in minutes. Selected…

A: t r(t) 0 3.5 4 3.2 8 2.5 12 1.1

Q: f-1 کج (2 - 4)

A: We have to find L-1(s2s2-a4 )

Q: Let FCR denote the field of constructible numbers. Prove that there is no injective group…

A: Let F ⊂ R denote the field of constructible numbers. We have to prove that there is no injective…

Q: Dinide 60 into two parts tr that the product of one part and the square of the other is a maximum.…

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Q: The parametric vector form of the position of a roller coaster is 7 (t) = 30 sin (t) 7 + 30 cos (t)…

A: The parametric vector form of the position of a roller coaster is r→t=30sinti^+30costj^+15costk^. To…

Q: (1) Let C₁ = denote the cyclic group of order n. (a) a. Show that C₂ C₁ is a cyclic group. (b) Show…

A: Direct sum of the cyclic group

Q: Let p be a prime and g be a primitive element of the finite field Fp. This means that g, g², g³,...,…

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Q: 12. Fj; S is the part of the cylinder lying above the curve in the xy plane expressed in polar…

A: Surface S is the part of cylinder. Bounded below by the xy-plane and above by the cone z2=x2+y2.

Q: 3. Consider the function f: R→R, f(x) = = S x + 2x² sin(1/x²) for x ‡0 | 0 if x = 0 Prove that the…

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Q: 14. y" + 2y15y = 3H(-2).

A: Since you post non interlinking two questions. As per our guidelines we can solve only first…