24.4. Let A = {1, 2} and B = {3, 4). Write down all functions f : A → B. Indicate which are one-to-one and which are onto B.

Q: For the vector field (x2,0₁ - 2x² -z²), evaluate its line integral along the closed curve, made by…

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Q: o integration with cylindrical coordinates o integration with spherical coordinates 1. Let E denote…

A: To compute the given triple integral over the region  which is inside the paraboloid  ,  and below…

Q: Consider a town with three Health Centre - HA, HB and HC. The state wants to see the efficiency of…

A: In this data envelopment analysis (DEA), we aim to assess the efficiency of three health centers…

Q: A manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 4…

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Q: Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace a. Find a nonzero…

A: Let   be the  vector  space  of   symmetric matrices.Suppose  that Then,               a) Choose .…

Q: Solve the Lucas sequence L_n = L(n-1) + L(n-2), n ≥ 3; L_1 = 1, L_2 = 3.

A: The objective of the question is to solve the Lucas sequence. The Lucas sequence is a sequence of…

Q: First, use the substitution y₁(x) = e-5x. Y₂(x) = u(x)y₁(x) u(x)e-5x = Then, use the product rule to…

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Q: 3. We have learned the definitions of concavity (up and down) for differentiable functions following…

A: is differentiable and is increasing on an interval .We have to show that  is convex.

Q: In a game show, a contestant is presented with three doors: Door A, Door B, and Door C. Behind one…

A: If the contestant decides to switch doors after the host opens Door B and reveals a goat, the…

Q: ^ Ja B. /1+ (1+ 3y2)2 dy

A: Length of a curve  x(y) is :

Q: 1. Show that 2! 4! 6! (2n)! ≥ ((n + 1)!)" for ne z+. . ...

A: To prove the inequality  for n∈Z+, we can use mathematical induction.Base Case: Let's check the…

Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

A: A function f(x) attains maximum value at x=a if f'(a)=0 and f''(a)<0.

Q: Min Z = 12X1 + 18X2 + 8X3  5X1 + 8X2 +9X2 >= 18  9X1 + 15X2 + 12X3 >= 36  10X1 + 15X2 + 12X3 >= 45…

A: Min subjected to constrain

Q: A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in…

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Q: Exercise 5. Find the equation of the circumference whose center is on the axis and that passes…

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Q: 20. f(x) = π, g(x) = cos² x + sin² x 21. f(x) = x³, g(x) = x²|x|

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Q: Solve and reduce to simplest form where applicable: If it tookgallon of paint to cover 260 square…

A: If it took 1/5 gallon of paint to cover 260 square feet of wall in Tom's garage, we have to find…

Q: A pot of boiling soup with an internal temperature of 100° Fahrenheit was taken off the stove to…

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Q: If I = may be Evaluate I 20 do 1-2p000 + p² written using show that it 3=eja dz (1-P3)(3-P) of the…

A: Let the given integral is  --------- (1)            For evaluate the above integral consider the…

Q: -30 -20 За Use the empirical rule to find the probability corresponding to the shaded region above.…

A: Using the empirical rule we have to find the probability of the shaded region.

Q: Consider the following vectors: a= 7₁ = 1 72 = 9 2 -2 For each of the following vectors, determine…

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Q: Determine the solutions to the equation sin A cos A tan 2A 3 for 0 ≤ A ≤ 2π accurate to two decimal…

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Q: How to find p2sin2θ from x2+y2? How do you know it is p2sin2θ?

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Q: Find the convolution (f * g), after integrating find the Laplace transform of (f * g): f(t) = cos2t,…

A: We have to find convolution (f*g) and the Laplace transform of (f*g) wheref(t)= cos2t, g(t)= et .

Q: Solve by any method 4x-4y+4z=16 -4x+4y-4z=-19 -12x+12y-12z=-49

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Q: Identify the place value for each of the digits in each decimal number. For example, for the the 2…

A: Identify the place value for each of digit in each decimal number:(A). 4.1,(B). 0.7,(C). 0.85,(D).…

Q: For the vector field (x, y, z) evaluate the line integral along the curve made of three adjacent…

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Q: Suppose f, g are real-valued functions on ECR and p is a limit point of E. If g is bounded on E and…

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Q: How many solutions are there to the equation x1+x2+x3+x4 = 17 where x1, x2, x3, x4 are integers and…

A: Number of non-negative integer solution of         x1 + x2 + ... + xn = k,  with  xi…

Q: Consider the following. B = {(0, 1, 4), (-1, 1, 4), (-2, 2, 12)}, B' = {(10, 3, -3), (3, 1, -1),…

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Q: Is the divisibility relation on Z antisymmetric?

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Q: 1. Consider the formula (PAQ) → (P^ (P→ Q)) (a) Prove the validity of the above formula using rules…

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Q: Hsu-Mei wants to save $3,000 for a down payment on a car. To the nearest dollar, how much will she…

A: Let  be the present value you need to invest in an account.

Q: A pair of dice is tossed. Find the probability that the sum on the 2 dice is 4, given that doubles…

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Q: 2. If lim [f(q) q²-1 +q²-119-12] limf(a) 2al = -4, use the Rules of Limits

A: We have we need to find

Q: I'm doing a worksheet with almost the same exact problems. But for part a of the question for my…

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: equations: +3y 2y 3x+10y X -X 2z + 4z = - - Z = = -1 10 18

A: (A)        Express the given system in matrix form as AX=B                 where  ,    and…

Q: Graph the following system of linear inequalities. What are the corner points of the system? Next,…

A: Graph the following system of linear inequalities.What are the corner points of the system?Next,…

Q: Need assistance with part A

A: Let's denote the number of stars Hayley wants to study as n and the time she spends studying each…

Q: Let Z = 3 + 5i and let W = 3e^(3ipi/4), find ZW, Z/W and Z + W using de Moivre's Theorem

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Q: (a) For all sets A, B, and C, show that (AUC) - B = (A - B) u (C − B) (b) For all sets A, B, and C,…

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Q: 5. An aquarium is going to be built in the shape of a rectangular parallelepiped with sides 80cm,…

A: We are given the dimensions of the rectangular parallelepiped: sides of 80cm, 40cm, and 50cmWe need…

Q: 1. Evaluate: 138-142 +2154

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Q: (a) f: N→ N where f(n) = √n 1 x² - 5 (b) f: Z→ Z where f(x) = (c) f: RR where f(n) = [x² if x ≤ 2…

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Q: Use the simplex method to maximize subject to P = P=3x₁ + 6x₂ + 4x3 -₁ + -21 + I1 + *₁ ≥ 0 2 + 73 <…

A: Maximize Subject toUsing simplex method we have to find the value of .

Q: The following image shows the graph of the function y = f(x) what is the new location of point…

A: The following image shows the graph of the function y = f(x) . We need to find  the new location of…

Q: Let A = {1,2,3,4} and B = {5, 6, 7}. Let f be the relation f = {(1,5). (2,5), (3,6), (?, ?)} where…

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Q: Find the minimum and maximum of the function f = x + y subject to Type N if the answer does not…

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Q: ~R Let ~ be the relation on Z given by a ~R b if and only if there exists c E Z with gcd (c, 17) = 1…

A: The objective of this question is to prove that the given relation R is an equivalence relation and…