Given the function g of the two real variables t and u by g(t,u)=t^2 + tu-u^2+(6+2)u c) Determine by hand calculation the linearization of the function g in the development point (12-6 , -1-6).

Q: Suppose that a jar contains 15 white marbles, 21 yellow marbles, 6 green marbles, and 13  purple…

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Q: Problem 2. Consider a map f: Mn,n(R) → Mn,n(R) given by f(A) = A+I for all n x n matrices A (where I…

A: I have given the answer in the next step. Hope you understand that

Q: Use differentiation formulas from calculus to find ƒ'(z). a) f(z) = 3z² - 2z+4i f(z)=(2z+5)(z+i)³ b)

A: Given : Functions are  a) fz=3z2-2z+4ib) 2z+5z+i3 To Find : Use differentiation formulas to find…

Q: ΠΩq+1)t-q + 1 ΠoΩ_q+1)t-q/Ω(6q+5) ΠΩ(q+1)t-q + 1 ΠΩq+1)t-q/Ω(54+4) thus Ω(6q+5) > Ω-(5q+4). = το…

A: Given: The Information that leads to the required proof.We need to prove the equations marked in…

Q: Use finite difference to determine the equation for the polynomial corresponding to the table of…

A: using finite difference method:-

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Q: Express answer in standard form [(5 + 2i)(−1+ 4i) - 5260°]*

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

Q: Suppose that L and K are subfields of GF(pn). If L has ps elementsand K has pt elements, how many…

A: It is given that, L and K be the subfields of GFpn. If L has ps elements and K has pt elements.…

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A: Here we have to probability that sum of two dice is equal to 4 or sum is odd number when a pair of…

Q: Suppose V is finite-dimensional and S;T 2 L.V /. Prove that ST is invertible if and only if both S…

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Q: Provide complete and clear solution for each question. Work Problem 2 ( +2 x²-x6 x²-100 x+10 B. Find…

A: 8

Q: Paul and Donna Kelsch are planning a Mediterranean cruise in 3 years and will need $8,500 for the…

A: Let p is the investment at the end of each 3 month Given time 3 years . Therefore 36 month Therefore…

Q: Compute the product. 1 3 BIR }] 24 1 2 3 1 0 1

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Q: 11. Simplify the following expressions: 11.1 z=¬¬(ave) v (πv¬0)) 11.2 z=(¬α ^ß) v (B^¬μ) V(B^H) Z=

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Q: Let m and n be integers. Two integers m and n are said to be consecutive if |m−n| = 1. Consider the…

A: This is a question of Number theory and logic.

Q: Question 1 ( Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3,-1). (b) Find the parametric…

A: Since A≡(2,-1,0), B≡(-3,0,-2) and C≡(0,3,-1). So AB→=-5i+j-2k, AC→=3i+4j-k and BA→=5i-j+2k. Thus…

Q: using T= πT integration TT/2 dn= *2 O cos x cosnx dx

A: We know that: cosAcosB=cosA+B+cosA-B2∫cosaxdx=1asinax+C

Q: Question 9 Use residues to show that Question 10 Use residues to show that 2π do 2 - cos 0 dx (x² +…

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Q: Use the precise &ε, &- definition of continuity to prove that if f(z) is continuous at zo then f(z)…

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Q: In Exercises 5 and 6, which of the given subsets of the vector space, M23. of all 2 x 3 matrices are…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Which of the following are true for all sets A, B, and C? (a) If A C B and BCC, then ACC. (b) If A B…

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Q: A. Use the properties of logarithm to simplify the following expressions. 1. log 2 + log 50 2.…

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Q: The function |2x – 10| has a singular point at x= . (Enter a number for your answer.)

A: The given function is 2x-10. We have to find the singular point of the function.

Q: Which of the following correctly expresses the negation of "at least 2/3 of the students have…

A: Given the statement ""at least 2/3 of the students have programming experience?" The objective is to…

Q: Q4. What is a15 for the arithmetic sequence with a₁ = 10 and d = 7?

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Q: Problem 4. Determine the kernel and range of the linear operator L: P3 → P3 given by L(p(x)) =…

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Q: Let L be the line passing through the point P(-1, 1, 5) with direction vector d=[4, -1, 0]T, and let…

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Q: 1. Let A = {0, 1,2,3,4,5). Write out the relation R that expresses > on A. Then illustrate it with a…

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Q: The surface of a hill is modeled by the equation z = (50 - 2x² - 5y²) meters shown in the figure. If…

A: The surface of a hill is modeled by the equation z=50-2x2-5y2. A freshwater spring is located at the…

Q: 8. Test the validity of the following arguments using: 8.1 Flow of the argument, 8.2 By using truth…

A: This is a question of logic.

Q: Q8. Suppose 8₁ = 4 and g₂ = 1. The rest of the terms in a recursive sequence are given by the…

A: Here given that g1=4 and g2=1  The rest of the terms in a recursive sequence are given by the…

Q: Evaluate the following integrals by first changing to spherical coordinates. 10. ₂²x²+² z dz dx dy

A: Given integral I=∫-22∫04-y2∫x2+y22z dz dx dy Evaluate the following integrals by first changing to…

Q: QUESTION 1 Consider the integral I = dz, direction. dz, where C is the circle |z| = 3 taken in the…

A: The given integral is, I=∫C1z2dz   where C is the curve z=3 taken in counter-clockwise. To Find: The…

Q: QUESTION 8 Consider the following 3 permutations in S10: 0 = 1 2 3 4 5 6 7 8 9 10 1 4 5 6 8 10 7 9 2…

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Q: In any poset (A,≤) with ab + 1 elements, either there is a chain of length a + 1 or an anti-chain of…

A: Please find the attached image

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1. For each of the given functions, answer each item correctly…

A: Given : Function fx=x2x2-4 To Determine : a) Domain of the function. b) Intersection with the…

Q: How would you sketch a graph as well move it by the landmarks of the parent reciprocal function…

A: Given: Parent reciprocal function 1x3. Rx=-42x-43+5 To find: How to obtain sketch of Rx from the…

Q: Draw the part that is in the first octant of the cylinder whose equation is 4y² + 9z² = 36 in R³.

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Q: For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. 3 2 A = - 12…

A: Given,             A=3211-12-60-126-2-1026.

Q: What is the least squares line for data (1,1), (2,1.5),(3,3),(4,4.5),(5,5)? Ox+1 O x-1 O 1.1x -0.3 X

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Q: Prove that any amount of postage greater than or equal to 2 cents can be built using only 2 cent and…

A: To Prove: Any amount of postage greater than or equal to 2 cents can be built using only 2 cent and…

Q: Use the Cauchy-Riemann Equations to show that f(z) = z Im(z) is only differentiable at z = 0 and…

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Q: Find the area of ​​the region bounded by the curve x = 2y², the line 2y = x - 4 and line tangent to…

A: We need to find point of intersection to draw the graph and identify  region bounded by them ; Then…

Q: Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is…

A: Let event E denote that " she's up all night till the sun" and F denote that " she's up all night…

Q: 4. 3 log₂ 4-log3 9 + log, 64 5. (log, 25-3log, 128) + 2 log, 343 single logarithm.

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Q: Q(6) Locate the centroid (x, y,2) of the wire bent in the shape shown. 4 300 mm 600 mm 400 mm

A: From the given data 1m-1000mm

Q: Problem 4: Determine and [A] for x= [2 4 5]¹ 2 -107 3 6 8 [A] = -9 1 15 -1

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Q: Find the domain D, range , R and asymoptote A of the graph of the function f(x)= 4 - ( 1/5)^x

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Q: Calculate the integral of f(x, y) = x − y over the region x² + y² ≤ 81, x + y ≥ 9 by changing to…

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Q: The following represent a set of points

A: Introduction: The newton's forward difference formula is given by, f(x)=y0+pΔy0+ p(p-1)2!Δ2y0+…