Use Lagrange multipliers to find a vector in 3-space whose length is 9/3 and whose components have the largest possible sum. (x, y, z) = ( i i i

Q: for -π<x<01 04. Find the Fourier series for the function: ƒ(x)= for 0<x< T

A: Fourier series of the function

Q: 5. Consider two functions g(x) and h(x), related in such a way that g(x)=h'(x) and h(x)=g'(x) and…

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Q: Which of the following graphs have hamiltonian circuits? R VA OB I R K L OC OD

A: We will use definition of Hamiltonian circuit to answer the given question. A 'Hamiltonian circuit'…

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: Given : The series is given as ;  ∑k=1∞uk = ∑k=1∞k(19)k To find : We have to determine whether the…

Q: A fire truck is to be added to a certain district.  Which district should get the fire truck?…

A: Given: Number of Trucks in district 1=18 Number of houses in district 1=23208 Number of trucks in…

Q: several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow…

A: In this question, concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: 2) B&G Jewellers is having a special sale. All ladies jewelry is 35% off. What is the discount on a…

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Q: Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7,…

A: Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7,…

Q: Using Gauss-Seidel Method solve the following system: 2х1 — бх2 — хз %3D —38 - -3x1 – x2 + 7x3 = 34…

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Q: 1 2 1 2 5 1 3 7 2 4 9 3 -1 A = 2 -2 4 1 0 0 1 -1 0 0 0 0 1 -2 3 0 -4 2 B = 0 0 0 0 (a) Find the rank…

A: As per the rules we can only able to solve the first three questions So i solved the first three.

Q: Let 9. 2 H = span 10 A basis for the subspace H C R* is { }. vector

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Q: Let z = -V3 - i. The equivalent exponential form of z is 2e

A: Given is a complex number z To Find: Equivalent exponential form of z and check whether it matches…

Q: 1-10i Q2. If complex number z satisfies the equation: _2z – 57 = 3 – i where z denotes the complex…

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Q: Use the Integral Test to determine whether the infinite series is convergent. 1 n2 + 81 n=9 Fill in…

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Q: (-1)"x2" (2n)! +0o Σ For all x E R, cos x = n=0 a. Find a power series that is equal to x cos(x²)…

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Q: Directions: Illustrate the rejection region given the critical value and identify if the t-values…

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Q: H.W": Given the following table find x3, fo.Af.Af2,Af. Afo Afo Afo fo A²fo 30 1.666 4 20 Af1 2 2 Af2…

A: We can solve this using given information

Q: What is im ) 1+2i 3-4i 1 А. D. 2/5 B.

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Q: 5 -2 1 1 Show that A and B are similar matrices by finding an invertible matrix P satisfying A = P…

A: As this problem is related similar matrix, hope you know how to find inverse of a matrix,…

Q: Suppose z = (0, 4), then arg(z) = {+ 2nn,n E R %3D

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Q: Let g be a function that is defined for all x, x # 2, such that g(3)% = 4 and the derivative of g is…

A: To find: Critical points of g where g'(x)=x2-16x-2,x≠2.

Q: On what region of the xy-plane does the differential equation would have a unique solution wi…

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Q: Use the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 1 -5 1 5 A = -5 -11 17 3 -53 1…

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Q: Express in Cartesian components: (a) the vector at A(4, 40°, -2) that extends to B(5, -110°,2); (b)…

A: express in cartesian components (a) the vector at A4,40°, -2 that extends to B5,-110° , 2 (b) a unit…

Q: Find the Laplace transform, F(s) of the function f(t) = cos(6t), t > 0. F(s) = | Evaluating the…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Find all homomorphisms from Zg →Z10 , and state the kernel of each of these homorphisms.

A: We have to find all the homomorphisms from ℤ8 to ℤ10 , and we have to state the kernel of each of…

Q: sin h AP1) Prove that lim h y Resources 1 by using only geometry. It is sufficient to consider h >…

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Q: Find the distance from the point (-3,1,0) to the line d(t) = (1, 0, 2)t + (4, – 9, – 2) .

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Q: a. f(0) = f(3) = 0 b. f(1) = -2 c. f'(-1) = f'(0) = f'(1) = 0 d. f'(x) 0 on -8 <x< -글and<x<2 g. lim…

A: Given: a. f(0)=f(3)=0 b. f(1)=-2 c. f'(-1)=f'(0)=f'(1)=0 d. f'(x)&lt;0 for -∞&lt;x&lt;-1 and…

Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

A: We have to find largest valume that a such box hve.

Q: Evaluate int int int _D sqrt(x^2+y^2) dV, where D is the region bounded by the cylinder x^2 + y^2 =…

A: To find- Evaluate ∭Dx2 + y2 dV, where D is the region bounded by the cylinder x2 + y2 = 1, lies…

Q: Answer the word problems by finding the unknowns using linear equations. A shipping company charges…

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Q: (e) A+B-C 2 (f) A (g) AC

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: To find the volume of the tetrahedron whose vertices P , Q , R and S are given .

Q: Explain why S i not a basis for R?. S= {(5, 3), (1, 0), (0, 1)} O sis linearly dependent. O s does…

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Q: 3. Use the Cramer's rule method to solve: -3х- 4у -бе y' = -3x + y+2e x'

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Q: Theorem 4.2.5 (Cauchy's mean value theorem). Let f : [a,b] –→R and o: [a,b] → R be continuous…

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Q: (1) Let R be the relation defined on Z by aRb if 2a + b = 0 (mod 3). (a) Prove that R is an…

A: (a) The relation between a and b represents that 2a+b is a multiple of 3.

Q: Given that S' = {e® : 0 € R}, where e" = cos(0) + i sin(0). %3D Show that S' is a group under…

A: Introduction: A group is an algebraic structure. The algebraic structure is an ordered pair that…

Q: A region in space, D, is given. Set up the triple iterated integral that one would use to find the…

A: To find- A region in space, D, is given. Set up the triple iterated integral that one would use to…

Q: 5. (Refer to Exercise 2) A differential equation (see Exercise 2 above) and various initial…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: (iii) x²y" – 7xy'+ 41y = 0. %D

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: A closed rectangular box with a volume of 162ft is made from two kinds of materials. The top and…

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Q: (e) A+B- C

A: Consider two matrices A and B. Then these matrices can be added or subtracted from each other only…

Q: Calculate the monthly interest for the given credit card transaction $200 balance, 10% interest…

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Q: s+2 S(s-3) 25 s(s-2)

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Q: Let f(x) = x2". Use logarithmic differentiation to determine the derivative. f' (æ) =

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