Find the point on on the plane 3x + 4y + z = 1 closest to(-1,1,1)

Q: Xx + x + 2y 2x + 4y y + + + + 2 = 1 3z 5z 2. 3

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Q: Write the following sets as a span of the minimum number of vectors

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Q: Solve the following problems with the second parti a) Find the points on the surface x²y²z = 1 cl…

A: We have to solve the problems by the Lagrange's multipliers and the second partial derivative test.…

Q: Prove each of the following statements e) Prove that -la] ≤ a for all real numbers a. f) Prove that…

A: We will prove the part e) for the cases when a is zero, a is positive an for a is negative, follows.

Q: 5. Find the exact area of each described region. The finite region between the curves x = y(y-2) and…

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Q: + 1) + 12. (t+1): dr + 2s = 3(1 + 1) + 1 (t + 1)²¹ t> -1

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Q: a) What is the voter population in District 4 ? ________________ b) How many potential voters do…

A: Distribution of voters is drawn is tabulated below: District  percentage of voters  Number of…

Q: 4. If block D weighs 300 lb and block B weighs 275 lb, determine the required weight of block C and…

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Q: 3. For what values of a and b does the system b 2 X + 2y 2x + = ay = have no solutions? Exactly one…

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Q: A first order linear equation in the form y + p(x)y = f(x) can be solved by finding an integrating…

A: It is known that:  ∫exdx=ex+C∫xndx=xn+1n+1+C

Q: Consider the set {1, x + x^2, x^2} ⊆ P2. a) Is this set a basis for P2? b) Show this is a spanning…

A: Given: A set 1, x+x2, x2⊂ℙ2. To determine: a) Whether the set is basis of ℙ2. b) Show this is a…

Q: dy 10. dx xe" (a) y(0) = -2 (b) y(1) = 2.5

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Q: Advanced Math Question

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Q: Q13. Convert the following hexadecimal number to its corresponding decimal representation: (2E4A2)…

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Q: Let f: A → B and g: B → C be two injective functions. Prove that go f is injective.

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Q: a) Use the direct method to prove that if a < 0, b < 0,c< a, and d <b, then ab < cd. b) Use proof by…

A: Given a&lt;0, b&lt;0, c&lt;a and d&lt;b We have to show ab&lt;cd Since a&lt;0 and b&lt;0 Then…

Q: V = {ax² + bx + 3|a, b ≤ R} ≤ P2.

A: Given: V=ax2+bx+3 | a, b∈ℝ⊂ℙ2 To write: The given set as span of minimum number of vectors.

Q: The pilot of a jet transport brings the engines to full takeoff before releasing the brakes as the…

A: Here, the question, this related question is related to the equation of motion. Here we have to find…

Q: Let f(x, y, z) = fx(x, y, z)= fy(x, y, z)= fz(x, y, z)= x² - 41² 2+4z² Then

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Q: 2. Your friend has also has no money, and he owes your aunt $9 to tip the taxi driver. If they…

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Q: it a, b, c ER are such for all XFR, a t² + bx + (20₁ b². Yul Lo. Amit: Find the minimal value of the…

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Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: 4. The velocity of a particle which moves along the s-axis is given by v = 2-4t+5t, where t is in…

A: We use to formula :  a = dv/dt v = ds/dt in order to find s,v,a at t=3 s.

Q: A: 1) min pxx + pyy s.t. xxx + αyy =ū L(x, y₁x) = px x +P₁Y + X[Xxx + xyy_ū] X: px + 1x2=0 Py + xy₁…

A: Since you have posted multiple questions, so we will solve only the first question for you. Kindly…

Q: If a number is divisible by 6, then it is divisible by 2 and 3.  If a number is divisible by 2 and…

A: Solution: We can determine whether the given statements are true or false by using divisibility rule…

Q: Let p> 0 be a rational number. Prove that zº is periodic.

A: Consider the given complex function, fz=zp It is required to prove that if p&gt;0 be a rational…

Q: Solve the following using variation of parameters show complete solution: 1. (D²3D + 2)y: = 2x 1+ex

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Q: Q6A. Select the symbolic conditional statement that has the same logical meaning as the English…

A: Given statements are ,   p: I will go to the movie with you.q: You will share your popcorn with me.…

Q: . Consider the surface defined by z = f(x, y), where f(x, y) = (x + 1)² + (y-1)² + 4 (a) Draw the…

A: A scalar function f(x,y) is a rule that is used to associate a number, or quantity with a particular…

Q: Q15. What is the first (rightmost) digit in the base 3 expansion of the base 10 number71?

A: Given: 15. A base 10 number 71. To find: The first(rightmost) digit in the base 3 expansion of given…

Q: 4. dy dx (sin x) cos y (a) y(0) = 1 (c) y(3) = 3 (b) y(1) = 0 (d) y(0) = - 512

A: From the given differential equation we have to find the linear equation of x and y. We use the…

Q: 1. For each of the following system, f classify those as saddle-node, transcrit Finally, sketch the…

A: Here, in the question, the discussion is all about bifurcations. Although the dynamics of…

Q: Determine the Green's function and solve the following problem y" - 2y = e²x, y'(0) = y(0) = 0

A: according to guidelines we can solved only first question thank you   Wehave to find the solution…

Q: h head t

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Q: Solve the following Equations and explain all steps of working on adobe connect. Your presentation…

A: We have to find the values of x .. Using the cross multiplication method

Q: ving problems w olume of a rectangu Osoid 9x² + 36y² +

A: we solve this sums by lagrange  method  for this we have two function  then we do partially…

Q: 10. Using Kruskal's algorithm, find a minimum spanning tree for the weighted graph given below:

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Q: Determine the root of: (a) Graphically f(x) = 5x³10x² + 10x - 5.1 (b) Using the Newton-Raphson…

A: 1. Graph   Newton method Here 5x3-10x2+10x+5=0Let…

Q: (b) The estimated stress level for working at ABC was obtained from a few, not many, reviews on the…

A: as according to question, estimated stress level for working at ABC is based on small number of…

Q: 5. Find the limits of the sequence with the general term as given. You need not use the definition…

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Q: Suppose Sally’s current salary is $62,000 per year, and she is planning to retire 25 years from now.…

A: in order to find  in her account at the time of her retirement , we calculate thethe effective…

Q: II. Using Cramer's rule, find the solutions of the following systems of linear equations: a. 3x + z…

A: By using Cramer's rule , we have to find the solution of the following systems of linear equations :…

Q: . A discrete mathematics class contains 1 mathematics major who is a freshman, 12 mathematics majors…

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Q: Solve ut = kuxx; u(x, 0) = e¯; u(0, t) = 0 on the half-line 0<x<∞.

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Q: c) Consider the following knapsack problem: Maximize z = 10x₁ + 7x2 + 25x3 +24x4 subject to 2x₁ + x2…

A: We have to find the optimal solution.. With the help of simplex method we calculate the values of…

Q: 4. The community college soccer team sold three kinds of tickets to its latest game. The adult…

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Q: Consider the ellipsoid x² + 2y² + 4z² = 22. Find all the points where the tangent plane to this…

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Q: 1. Solve the sys operations to 2x + 3x + (2) { (c) { 2x + 3x +

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Q: Let Sn = bk. Use the definition of s6 and your work in part (b) to write out an unsimplified…

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Q: Problem 1. Considering the capital letters as unions ness, divide the letters into groups according…

A: the letter are divided into homeomorphism classes according to the number of holes. there are three…