1 Given the functions f(x)=x² and g(x) = 3x-2, determine how the vertex of the composite function would differ between (fog)(x) and (gof)(x).

Q: An initial value problem, or [answer], is a differential equation whose solution is subject to…

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Q: Given the sets A, B and the universal set U, and that A and B are not disjoint, draw a Venn diagram…

A: It is provided that A, B are two sets that are not disjoint and U is the universal set. We need to…

Q: Evaluate. [s=231s+2 Σs = 231s + 2 If the answer is not an integer but a fraction, do not change it…

A: Given that ∑s=231s+2∑s=231s+2

Q: Find an example of two sequences (an)neN and (bn)neN such that both sequences Ei=19 and ₁=1b;…

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Q: 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37 and 38 Describe in words the region of R³…

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Q: please help with Question 2

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Q: Consider a monotonic sequence Sn. Assume that there exists a subsequence Sσ(n) that is Cauchy. Prove…

A: Suppose <sn>  is a increasing and has a sub sequence <sσ(n)> which is Cauchy. Since…

Q: Suppose that 2,..., are distinct eigenvalues of matrix A with corresponding eigenvectors…

A: Given That : suppose λ1,λ2,λ3,...,λn are the distinct eigenvalues of the matrix A with corresponding…

Q: 3. (a) If f:X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify…

A: Answer is NO  It is not necessary that if g∘f is one one then g must be one . But some time it may…

Q: Find the second-order Taylor formula for f(x, y) = (5x + 4y)² at xo = (0,0). Note that R₂ (0, h) = 0…

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Q: Let A₁ = = [1,4]. Find Answer: I n Ai i=1 Hint: Write you answer in an interval notation such as…

A: Theorem: The intersection of an arbitrary collection of closed sets of real numbers is a closed set.…

Q: Find the derivatives of the following functions, simplifying your answers. (a) f(x) = x²/3 +…

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Q: Let φ1(x) = 1, φ2(x) = x/|x|, φ3(x) = x^2 − 1/3 for −1 ≤x ≤1. Show that (φ1,φ2,φ3) form an…

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Q: Perform two steps of the Conjugate Gradient method an approximate solution to the system Ax=b where…

A: First of all the Conjugate gradient method requires the matrix A to be symmetric positive definite.…

Q: Consider the set R. Prove: (i) VxER, x 0 = 0;

A: Given x belongs to R(real number) If x=1 Then 1.0=0 If x=2 Then 2.0=0 Similarly  3.0=0 4.0=0 and so…

Q: The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −4x² – 16x. -7 -6…

A: The function f(x) is shown in the graph and gx=-4x2-16x.   To Choose: The correct option.

Q: Find (and simplify) the equation of the tangent line to the graph of y = 24 at x = 1.

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Q: Task II: Your manager asked you to answer the following: A) Define quantitative and qualitative…

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Q: 5. Consider the surface: x(u, v) y(u, v) z(u, v) where u € [0, 1] and v € [0,2]. Calculate the area…

A: Introduction: The area is the area occupied by a two-dimensional flat surface. It has a square unit…

Q: Using two steps of the Gauss- Seidel method, find an approximate solution to the problem Ax=b where…

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Q: Please explain each property (withs #'s) Recall that for x, y ≤ R, |x - y ≤ R is the absolute value…

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Q: A company manufactures two products A and B. Each product has to be processed in three departments:…

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Q: a. Show that x² + 2y² - 8z = 5 has no integral solutions. b. Use theory to determine if x² + 14x −…

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Q: 4. i) The temperature in a bar of length L is described by the heat equation ди Ət for 0 0. მ2 The…

A: heat equation ∂u∂t=α2∂2u∂x2 for 0<x<L and t>0 with condition ux0,t=0 , uL,t=0 (a) using the…

Q: identity: In other words, B(n) = Σk-1 S(n,k). Prove the following n B(n) = ± (1) B(i) i=0

A: Given Data: Given set partition of B(n) = [1,.....,n]. We have to prove B(n) = ∑i=0nniB(i)

Q: Let P = (AB) i) P'. What does this tell you about the matrix P? ii) PP iii) P(B'A')' iv)…

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Q: Use the graph of f(x) = x² below to find a number & such that ² Round your answer to four decimal…

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Q: Question 1. 1. Find the limits of the following sequences as n → ∞ if they exist (Note: n N - {0}):…

A: Disclaimer: Since you have asked to solve only Q2, therefore, only this question is solved. Please…

Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Consider the function defined by f(x) = -(x + 1)² +5 if x 4 Graph the function. Is the function…

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Q: 2) a) Let T: C² C²: Ty = [x+2y-iz] 2y + iz Lix+z-2z Find [7] B [7] B and P where

A: Given information  T  :  C2 →C2T xyz = x+2y-iz2y+izix+z-2z simplify it, T xyz = x+2y-iz2y+izix+z-2z…

Q: Please teach how to solve not just solve (concepts) each of the following matrices, calculate the…

A: Given : 1 X=16268021206(2)X'=16268021206'3 Y=4-169 Note : According to the Bartleby guideline we are…

Q: evaluate. Does the series ∞[4 2^k(x-3)^k/2k converge absolutely, converge conditionally or diverge?…

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Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

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Q: 7. On the space P3 of cubic polynomials, what matrix represents d²/dt2? Construct the 4 by 4 matrix…

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Q: Let X₁ = eg(t) [eW(t) + e−W(t)] where g(t) is a function of t. (a) Use the Ito formula to compute…

A: Given: The function of t is gt and Xt=egteWt+e-Wt. To find: (a) The expression of dXt by using Ito…

Q: i) The temperature in a bar of length L is described by the heat equation ди Ət Q202 əx² ди əx = for…

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Q: Which of the following set of ordered pair represent a one to one correspondence? A) {(2,3)} B) {(2,…

A: we have to find that which ordered pair represents a one-one correspondence. one-one correspondence-…

Q: 4. Let W be a subspace of a vector space V. We define a relation: V₁ V₂ if V₁ V₂ € W. ~ 4a. Show…

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Q: Discrete Mathematics/combinatoric Please show your work  Question: Derangement is a permutation of…

A: Given Data: Derangement is a permutation of π ∈ Sn that has none of the fixed points, orThe…

Q: (P→Q) ^ (P → R) = (~P V Q) ^ (~P V R) =((~P V Q) ^ ~P) v ((~P v Q) ^ R) How do you produce the next…

A: Introduction: If two logical statements have the same truth value in all circumstances, they are…

Q: d: R²XR² → R₁+ d(x, y) = { x = (x₁, x₂), y = (y₁ - y₂) ER² 1 1 { 132₁_2₂1,1} if x₁=3₂₁ ; 1 otherwise…

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Q: Question No.5 If the function u(x,t) satisfies the following: 1 PDE:uu+k; 0≤x≤l, t>0 BCs: u(0,1)=u,…

A: Introduction: An initial boundary value problem is such problem where the initial as well as…

Q: Q3/ If the adjusted interior angles for clockwise closed-loop traverse ABCD are below Interior angle…

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Q: 1. For given fuzzy number A={(3/0,4); (4/0,6)(3/0,8)(4/1)}; B={(2/0,7):(3/1): (4/0,7)}. Determine A+…

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

Q: D²-4D+13y= 12x² Solve it Please . Problem Of Type (3)

A: We have to solve the differential equation    (D2-4D+13)y=12x2.

Q: For the following function: f(t) = 5+2 cos(2πt - 90) + 3cos4πt Let us sample the signal f (t) at 4…

A: Given that the function:                      f(t)=5+2cos2πt-90+3cos4πt, Let us sample the signal…

Q: Prove that if f(z) is analytic, then: [f'(2)² = (² |f' (2) 1³² = (²+ (²)² = (²+)²

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Q: Let g (x, y) ) = 11 sin(xy) — 13x² ln(y) + 20. Find the degree 2 polynomial, p, which best…

A: Given: The function is g(x,y)=11sin(xy)-13x2ln(y)+20 To find: The degree 2 polynomial which best…

Q: 1. A rectangular page of unknown dimensions is to contain 24 square inches of print. The margins at…

A: Let length of the printed page be 'x' inch and breadth is 'y' inch. Now Given that…