Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. 2 -6 4 0 0 0 0 0 0 3 -9 8 = LU=|0 0 0 0 0 0 -2 6 -2 0 0 0 0 0 0,

Q: The product of the current ages of Vanessa children is 360. If her oldest child is twice as old as h...

A: Suppose, Vanessa has 2 children, whose ages are 2x, x such that: x < 2x  Given: x•2x = 360  So, x...

Q: (b) Given that f(x) = 8(x*) g (5) = 3 and g(5) = 5, find the value of f (5).

A:

Q: following: (a) y = \f(x)| (b) y = f (x) (c) y = JF(x). f(x) y = 2 3

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Q: If the Taylor series of f (x) at a = 3 is (x- 3)" 2"(n + 2) n=0 Then f(4 (3) is: A) 24x6 4! B) 24x6 ...

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 sine -3/5 4/5 3/5 -4/5

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Q: For x, y > 0, the function f is given by ƒ (x, y)=2In| Find the partial 1. derivatives f, and f..

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Q: 3. Evalnate. the. following.double.intagrals.by.comverting to Polar.Caa.r.dinates. 2 2 Anse. T(e-1) ...

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Q: What is the form of the complete partial fractions decomposition of this function: 5 x(x + 3)²(x² – ...

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Q: 8. What is de x2+1

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Q: Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у — 3...

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

A: topic - rational numbers

Q: The sum of the series n-16) is: A) 1. B) 2. C) D) E) Diverges.

A: topic - series convergent and divergent

Q: de = x² – 2x +2 dy

A:

Q: Find the average rate of change of g(x) = 2x° – 4 from x = - 1 to x = 3 -

A: This question is based on average rate of change of function.

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: First we find radius of convergence. Then find interval of convergence. 

Q: a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a par...

A: This is a problem related to geometry. For parallelogram opposite sides are parallel to each other. ...

Q: Using Figure 1, complete the following function. V u Figure 1 sing = %3D u/r v/r ^yn O r/v v/u r/u O...

A: Given problem:-

Q: x - 5, x21 (b) A function ƒ is defined by f(x)=. 1 x<1 Show that f is differentiable at x = 1. Hence...

A: We have to show our function is differentiable or not at x=1

Q: Find the nth Maclaurin polynomial for the function. 2x – 5 - f(x) n = 4 %3D X + 1 P(x) = %3D

A: According to question,Given Function,fx = 2x-5x+1n = 4

Q: Given that f(x) = 7x + 4 and g(x) = 1 – x², calculate %3D - (a) f(9(0))= | (b) g(f(0))=

A: f(x) = 7x +4  g(x) = 1 -x2 f(g(0)) =? g(f(0)) = ? f(g(x)) = f(1-x2) = 7(1-x2) +4 = 7 -7x2 +4 = 11 -7...

Q: Follow the steps to solve the initial value problem: 2ty – 2y = t5, y(1) = -1. a. Identify the integ...

A: Rewrite the differential equation into linear differential equation and then solve it.

Q: x²dx S. 1. 4 – : - x²

A:

Q: Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3)

A: A(2, 1), B(3, -5) and C(1, -3) 

Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log , 7x² 5. y = - 5 log , (1...

A: As per our guideline we solve only first three parts

Q: n2 - 6 with n5 + 6 Write an inequlity comparing for n > 1. n3 (Express numbers in exact form. Use sy...

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Q: he plane y=2 inersets the elliplic pd araboloi 3=4X +y parmbola. in a Find the slope of the tangent ...

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Q: 1. J sec x csсх 2. S sin*x dx 3. S e2*(Vx + 1) dx

A:

Q: 1 Use the Cauchy's integral test to show that Σ diverges n. In n. In In n n=2

A: Cauchy -Integral  Test series ∑n=1∞ an      converges if integral ∫1∞ f(x) dx finite and  diverge if...

Q: Situation 1: Find the area bounded by the curve x^2 = y + 2 and the line x + y = 0 1. Using Simpson'...

A:   A=∫-21 (-x-x2+2) dxA=[2x-x22-x33]-21 A=2(1+2)-12+2-13-83 A=112 A=5.5 square units

Q: Consider the following function. f(x) = −x2 − 14x − 9 Find its average rate of change over the inter...

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Q: Let U = {1,2,3, 4, 5, · … · , 10} A = {2,4,6, 8, 10} B = {3,6,9} C = {1, 2,3, 8, 9, 10} perform the ...

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Q: The graph shown is f(x) =/x. If g(x) = f(t)d t, find g(4). AY 3.6 2.4- 1.2t + -1 0 3 4 6 O g(4) = %3...

A: The detailed solution is given below Thank you 

Q: formula

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Q: Questão 2 Check thatF(x, y) = (ez+y – y2 – cos(y))i + (ez+y – 2yx + xsen(y))j is a conservative fiel...

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Q: Define Q as the region that is bounded by the graph of the function g(y) = 2/y+4, the y-axis, y = -3...

A: The volume of the given region, which is rotated about the y-axis, using the disk method is given by...

Q: 3pts) Find the equation of the tangent line to the graph of the function f(x)=x-Vx at the point (1,0...

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Q: Evaluate the integral: dx +. +c. B) Inx+ v-이+c. c) 3Imx + v-이+c. D) +c. ) 2( - 9)+c.

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Q: Find the area of the region enclosed by the graphs of: y? = x+5 and y2 = 3 - x. 32 A) 3 16 B) 3. 64 ...

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Q: dz 1. dz ду || 2.

A: The given function is: z=(2x+7y)12.

Q: Use the difference a+1 - an to show that the given sequence {an} is strictly increasing or strictly ...

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Q: Assume E , is an infinite series with partial sums given by Sy 4 What is a,? A) B) C C) D) None of t...

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Q: an+1 Jse the ratio to determine if the sequence {ne} is strictly increasing or strictly decreasing. ...

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Q: Given a period function f (x) with a period p = 4, -2 < x <-1 f(x) (0, -1 < x < +1 %3D +1<x < +2 (a)...

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Q: d. Assume an object enters our solar system and we want to graph its path on a coordinate system wit...

A: Give the equation of flight path

Q: ry' – y = x²e=z

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Q: Suppose f(x) - 6'Vi+ť' dt. 1) Evaluate / (2).

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Q: is a function given by 2r2 + 3r +2 g(x) • 1² +2 bounded for all |r| 52. finition, show that f(x) = 3...

A: We have to show that the given following conditions according to the given information

Q: 5. The following data give approximations to the integral M = sin x dx. Jo ()- () N (h) = 1.570796, ...

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Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the poi...

A: The objective of the question is determine the equation of the tangent line.

Q: x In(2 + x³) dx

A: