Find the day of the week you were born, and of your birthday this year.

Q: Consider the following mathematical program: Min: Z(x) = 12x₁ + 10 x2 a. s.t. X₁ + X₁ + 2x₁ + X1 2x2…

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Q: Draw a normal curve with u = 110 and o = 5. a) What percentage is between 110 and 115? b) What…

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Q: function f(x)=-x^(2)+2x-4, address the ave a maximum or minimum value?

A: We have a function:fx=-x2+2x-4 We have to check whether the function has maximum or minimum value.

Q: • Show that if m divides 3, then m divides 9. (We say a divides b if there exists an integer k such…

A: Let  m divides 3 .  Then there exists an integer k such that 3 = mk. Now, 9 can be written as…

Q: A college with five divisions has funds for 54 3-D printers. The student population for each…

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Q: Show that there is exactly one positive number u such that In(u² + 1) + Tu = 2021.

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Q: s(t) = −0.1t3 + 3t2 + 23t   (0 ≤ t ≤ 3) Calculate the motorcycle's average velocity (in ft/sec) over…

A: s(t) = −0.1t3 + 3t2 + 23t (0 ≤ t ≤ 3)

Q: [1 4 5 Find the row space of 3 2 7 0 1 0

A: Given matrix is  A=145327010. Now we apply the following elementary operation on A: R2=R2-3R1, then…

Q: Prove that for any prime p > 3, either p = 1 (mod 6) or p = 5 (mod 6).

A: We need to show that if p > 3 is any prime number, then        either p = 1(mod 6) or p = 5 (mod…

Q: Can you do d, e, and f?

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Q: Construct a graph with vertices P, Q, R, S, T that has an Euler circuit and the degree of P is 4.…

A: Using vertices P, Q, R, S, T we have to construct a graph such that - a) Graph is an euler circuit.…

Q: Use the functions f(x) = 2x + 5 and g(x) = 3x² to calculate each operation and simplify, if…

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Q: It shows wrong

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Q: 3. Ons can receive one of the following payment streams. (i.) 980 at time 11 (ii.) 200 at time 0,…

A: Two payment streams: (i) 980 at time 11 (ii) 200 at time 0, 450 at time n and 300 at time 2n. vn…

Q: Find the B-matrix for the transformation xAx, where B = {b₁,b₂}. -5 -1 2 A = [*] -0 -0 b₁ = b₂ 5 The…

A: Given that the matrices  A=-5-15-1  , b1=-1-1  , b2=21   .

Q: 9. Use mathematical induction to prove 2"+222n + 5 for any integer n ≥ 1

A: First we show for n=1  Then we suppose for n=k  Then we proved for n=k+1

Q: Let A 1 1 and b=-6. The QR factorization of the matrix A is given by: [21] B = - + √2] X = √2 [0] a)…

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Q: Letter C is 59E, not 53E

A: We need to write (59E)twelve in base 10. (It is given that face value of E is 11)

Q: A contour map for a function f is shown. 5 -4 -3 8+ 7 to 6- 5 m PO 7 cy 16 8 10 3 40 Use the contour…

A: For the given counter map or level curve every circle indicates the same value of f(x,y) along them.

Q: B: Find the Fourier series for the following function: f(t) = t -π < t < T

A: The Fourier series of a function f(t) on an interval is given by  f(t)=a02+∑n=1∞an cos(nt)+∑n=1∞…

Q: Consider the famous Hydit-Filit problem, but with c2 the coefficient of x2 in the objective…

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Q: 4. Show that on at any point on a regular surface, we have H² ≥ K, and use this to prove the…

A: Gaussian curvature is a geometric property of a surface in three-dimensional space that measures the…

Q: 13 3] Let A== -10 Find two different diagonal matrices D and the corresponding matrix S such that A…

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Q: ) Determine the sign property of the quadratic form Q: R2R given by Q(x, y) = x² + 4xy + y², by (i)…

A: Since you have posted multiple questions so as per guidelines we will the question b for you .To get…

Q: Discuss and describe exponential order a. Define and draw graphs to illustrate, etc. Give an example…

A: We need to discuss and describe exponential order α.  Give example: of a function that is less than…

Q: Let the matrix in c². 31 -5 5 Select all that apply. A. =-4+2i; v = c. A=4+2i; v = E. A=2+4i; v = G.…

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Q: The matrix A₁ = -4; 7₁ A = has the following eigenvalues and eigenvectors = -6 (₂₂) 2 2 3 (-1); A₂ =…

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Q: (a) Let f(x, y) = x² + y². Plot the vector field Vf and the level curves of f on the same plot. (b)…

A: A function fx , y=x2+y2. To Find: a) Plot the vector field and the level curve of f. b) Do your…

Q: Find the weighted adjacency matrix of the following directed graph and represent that as a…

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Q: A certain football team gets overconfident after a win but works hard after a loss. After winning a…

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Q: Nine more than half the number n is no more than -8 . Find n.

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Q: 1. Let f: N→ N be a rule defined by n f(n) = 2 if n > 1 2n + 1 ifn ≤ 1 (a) Is f a well-defined…

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Q: Arguing geometrically, find all eigenvectors and eigenvalues of the linear transformation below.…

A: Find the eigen value and eigen vector of the given linear transformation:Find an eigen basis and…

Q: Joey took examinations in Algebra, Physics, Chemistry and English and scored 84, 79, 88 and 93…

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Q: Let S represent the amount of steel produced (in tons). Steel production is related to the amount of…

A: Min: 50L+120C S.t    15L0.2C0.8=55000L,C ≥ 0

Q: Obtain the General Solution (Bessel Function): 4x2y'' + 4xy' +(4x2-25)y = 0

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Q: Let S be the part of the graph of the function x² + y² that lies above the disk x² + y² ≤ 4. What is…

A: The surface is the part of z=x2+y2:

Q: Discrete Math: Q1: a) Find 8 + 32 + 126 + … + 8192.       b) Find 5 + 15 + 45 + · · · + 5·3^20…

A: Now we know that sum of n terms of GP is given by Sn=a*(r^n−1)/(r−1) when r&gt;1

Q: A quadric surface has the equation x² + 2y² + 2z² + 2yz = 1. Write the equation in tandard form.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Could you write a proof for the following: Suppose F: X → Y is one-to-one. Prove that for all…

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Q: 3. Suppose we have a linear transformation T that is invertible. Let A be the standard matrix for T.…

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Q: 8. Use the Divergence Theorem to find the outward flux of the vector field F(x, y, z) = x³…

A: We have to Use the Divergence Theorem to find the outward flux of the vector field F(x, y, z) =…

Q: Use the inverse you found above to find the solution to the system of equations 5x +9y = 6 4x +…

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Q: A portion of a function fis shown to the right. At which of the following points (labelled A - F),…

A: Rate of change of a function f as x moves from a to b is given by (f(a)-f(b)/(a-b) or…

Q: Find a power series expansion about x = 0 for a general solution to the given differential equation.…

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Q: Find the chromatic index of each graph? 2 2 4 3

A: Chromatic index  tells the minimum number of colors are need to color the vertices of the graph but…

Q: Let a, b, c be integers. Prove that if a divides b and b divides c, then a divides c. You must use…

A: a, b, c are integers.Definition of 'divides' :Let a and b be integers. We say a divides b if there…

Q: Let f1(x) = − 1 6 (x − 1)(x − 2)(x − 3), f2(x) = 1 2 x(x − 2)(x − 3), f3(x) = − 1 2 x(x − 1)(x − 3)…

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Q: 4. Suppose a heated open-air tank is fed a salt solution with concentration 3 lb/gal via pipe at a…

A: First one must model the problem through an Initial Value Problem.

Q: 15. [rdz dr de

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