Question: f(x)=x³-4x-1 Find the positive root of the function after 6 iterations using (a) Sekant and (b) Newton-Raphson root finding methods. The initial estimate values for the secant method are x0=1.0 and x1=2.0; Let x0=1.5 for Newton-Raphson method.

Q: a) b) Find the area of the triangle determined by the given point P₁(1, 2, 4), P2(1,-1, 3), P3(-1,…

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Q: QUESTION 2 The equation ut = 2uxx is a partial differential equation in one variable O an ordinary…

A: Given equation is ut = 2uxx

Q: 7. Express the arithmetic sequence as an explicit formula. Then find the 50th term. Sequence:50, 48,…

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Q: 2) Solve the difference equation using z-transform yk+2-3 Yk+1 + 2yk = 0, with y₁ = 0, y₁ = 1.…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: Determine the form of a particular solution Yp of Ур y" - 9y' + 14y = 3x² - 5 sin2x + 8xe6x. Do not…

A: Here given DE is  y"-9y'+14y=3x2 - 5sin(2x)+8xe6x. We find the form of particular solution yp.

Q: Delete recessive rows and columns from the following matrix game: 4-31-2 4-40-2 -1 23 2 0 05 2 O A.…

A: Option B

Q: (b) Prove or disprove: If A and B are compact sets, then AB is compact. Q(3) Let g(x): (R,|) →…

A: Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: Calculate FdV where F = 2i+2z j+yk JV N and V is a space bounded by z=0, z = 4 and x² + y² = 9.

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Q: 5xy sin ³²x + 3y² 0, f(x, y) (a) Prove that lim T if (x,y) + (0,0) if (x,y) = (0,0) f(x,y) does not…

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Q: 1. Let A = (ai)nxn be symmetric and positive definite. Show that a) a>0, i=1,2,...,n. b)…

A: The given matrix A=aijn×n is symmetric and positive definite matrix. To show: (a) aii>0 ,…

Q: 4. Write negations of each of the following conditional statements. If Master lives in the…

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Q: Q26. * The Adjacency Matrix of the following graph is a ........... matrix. 2 1 3 4 O Symmetric O…

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Q: Solve the following initial value problems by Laplace transform technique

A: We have given a differential equation ,  y'' + 2y' + 5y = 50t - 100   ,  y2 = -4  , y'2 = 14 This is…

Q: 2. the approximated roots for equationf(x) = e* - 3x in intervals [1,3] is found to be 1.34 find the…

A: Given function is fx=ex−3x. And the approximate roots for equation fx=ex−3x in intervals 1,3 is…

Q: 4. What is the length of the latus rectum of the ellipse whose equation is ²+ <= 1. 25 16

A: 4. Given equation is (x-3)225+y216=1   To Find: The length of the latus rectum of the ellipse whose…

Q: A marginal revenue function MR(X) (in dollars) is given below. Use numerical integration on a…

A: Sol:- According to the question , using numerical integration  Integrating Simpson 1/3 rule:-…

Q: The graph of f(x) is shown (see figure). 7x² x² +9 f(x) = = (a) Find the following limit. L = lim…

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Q: Find the differential equations of the following family of curves whose solution is: 1. A family of…

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Q: (B): If A = 2i + 3j - 4k; R = 3-4j+5k and C=i+j-k, find: (UU)Ã. (B+C)and (A + B). (iv) (3A+48).C…

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Q: 5. Let S₂ denote the symmetric group on the 2 letter set Σ = {0, 1}. (a) List the elements of S₂ in…

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Q: Ay Define f by f(x,y)=√ h(t) dt, where h is some continuous function of one variable such that h(0)…

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Q: (a) Y(s)-e-5s (85-3) s²+6s+12

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Suppose f1 and f2 are two analytic functions so that Re(f1)=u and Re(f2)=u.  Then h(z)=f1(z)-f2(z)…

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Q: 6. A golf ball is hit from the top of a cliff and lands on the green located the bottom of the…

A: Given: A Golf ball is hit from the top of a cliff, The path of the height of the ball is modeled by…

Q: 5. Let M:= {ECR: E is countable or E is countable} and define μ: M→ [0, ∞] by µ(E) := Show that is a…

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Q: hat is the area of the region bounded by the line x = 4 and the curve x³ = x² + 2xy - y² = 0. ht:…

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Q: نموذجD1 (Q1)-A-State(First fundamental theorem) and Show that :(Z₂0 /(10).+..) (Z₁0+10 +10)

A: As per the policy, we are solving first question. Please repost the question and specify which…

Q: Let a, b € R. A map Tab: RR is defined by Ta,b(x) = ax + b, x ER (i) Prove that the set of maps S =…

A: Given :  Ta,b : ℝ→ℝ  be a map defined by  Ta,bx = ax+b,  x∈ℝ , where  a, b ∈ℝ. To prove : The set of…

Q: (B): Find the tangent equation to the curve y = sin² x at point x =

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Q: Find the solution of the initial value problem y" + 4y' + 5y = 0, Y (²) = 0, y' (²) 7. y(t) = How…

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Q: Compute line integral of F(x,y) = (2x² – 3,₁²³)^² + (2x +34²) ↑ с over the following C F-dr SCF ¾ ç…

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Q: 2. Let & be a group. Prove that the identity element e is unique. Prove that for a € G, there exists…

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Q: Let f(x) = cx4.2 and suppose that f(5) = 30. Find the value of c.

A: Given f(x) = cx4.2

Q: If the determinant of the first matrix below is as given, find the determinant o abc det r s t = -3…

A: given detabcrstxyz=-3 we have to find  detabc2x2y2z-a+r-3x-b+s-3y-c+t-3z

Q: F(s) = 4-10S s3-6s2+11s-66

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Q: A golfer makes a successful chip shot to the green. Suppose the path of the ball from the moment it…

A: path of the ball from the moment golf ball strikes to the moment it hits the green is described by…

Q: Find a basis for the column spac Find a basis for Col B where O [1 1 0 -2 0 0 1 4 0 0 0 0 0 0 0 0 10…

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Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

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Q: Find the volume of the given solid over the indicated region of integration. f(x,y)=2x+2y+7;…

A: We find required volume of given region.

Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤y≤16, 0≤z≤ with √√y density…

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Q: B- Find the intersections and symmetry for the polar equation r sine = 1 and then draw it.

A: Introduction: The intersections of a curve are mainly the point where the curve intersects the…

Q: Linear combination Let u = (1, 2, 1), v = (1,−1,−1), w = (1, 1,-1), and z = (2,−3,−4). Find scalars…

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Q: Question: Maximize Z = X1 + X2 Subject To 8x1 + 6x2 > 24 4x1 + 6x2 > -12 2x2 > 4 X1, X2 > 0 Maximize…

A: Given LPP is Maximize z = x1 + x2 Subject to  8x1 + 6x2 ≥ 244x1 + 6x2 ≥ -122x2 ≥ 4x1, x2 ≥ 0

Q: Let (Un) be a sequence of open sets in R then a) U₁is open, b) nis open.

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Q: 5 Use the Implicit Function Theorem to prove that there exist C¹ functions u(x, y) and v=v(x, y)…

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Q: A plane flying at an altitude of 35,000 feet at a speed of 690 miles per hour releases a bomb. Find…

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Q: The equation u = 2uxx is

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Q: Given the transition matrix: A B C D A 0.4 0.3 0.2 0.1 B 0 1 0 0 с 00 1 0 D 0.2 0.5 0.1 0.2 Find the…

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Q: 5. Let M:= {ECR: E is countable or E is countable} and define μ: M→ [0, ∞] by μ(E) := Show that is a…

A: Given M:=E⊆ℝ: E is countable or Ec is countable and μ:M→0,∞ defined by  μE:=0if E is countable1if Ec…

Q: Use the method of Lagrange multipliers to find the minimum of the below function subject to the…

A: Given that, fx,y,z=x2+y2-2xy+z2, x≥2y+1, z&gt;1 The objective is to determine the minimum of the…