2х — у z = x + 3y x = e2"cos(3v), y = e2usin(3v)

Q: Let D be a planar region and let 4 y/2 6/2 2 || g(x,y) dA = { g(x.y)dx dy + g(x,y)dx} dy D 2 4 y/ 36...

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Q: 5. Show f(x) = x'/4 – In(x) is positive for r e R sufficiently large. As well, use the p-series to s...

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Q: : Let f(x) = x2 – 2 , - 2<x< 2, period = 4 | 1- Sketch the graph of f (x) 2- Is f(x) odd or even, or...

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Q: Let y be a solution of the differential equation * + (1+ )y =!, where x > 0 such that y(1) =1+;. If ...

A: First order differential equation

Q: Find the root of f(x) = (x – 4)° (x + 2)= 0, using the initial guesses of x = -2.5 and x, = -1.0, an...

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Q: If |G| = 30 and |Z(G)| = 5, what is the structure of G/Z(G)? What is the structure of G/Z(G) if |Z(G...

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Q: Prove that (4) =4; [Let z1 = a + bi and z2 = c + di] Z2

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1. Th...

Q: Consider T E L(V). (a) Suppose U is a subspace of V invariant under T. Prove that U is also invarian...

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Q: 3. Show that the largest value of o that can be used for some e > 0 if lim (2+ 5x) = 17 is エ→3 anx" ...

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Q: Find the parametric equations for the line through the point (1, 7, 2) that is parallel to the plane...

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Q: Question: Write a Python program to construct Newton's Divided difference interpolating polynomial t...

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Q: 1 1 + (1 – x)3 4 fg(x) (1 — Зx) | Find a recurrence relation for an. Note g(x) = >, an*x" %3D

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Q: y= x²+Z %3D y = 4 %3D SSSX du +ye

A: Volume bounded by the curuves , conversion yo polar coordinates

Q: 4. Use the method of undetermined coefficients to solve y" + 5y' + 4y = e¬4. If the initial conditio...

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Q: Let y be a solution of the differential equation y' + !y = -2x°y*, where x > 0, y > 0 such that y(1)...

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Q: =a /2[1+3cose +3cos20 + cos*0 -1] cosed0.. %3D ... .... (32+15x) 24 %3D

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Q: Hello, can you help me for this math (complex function)? Find the fixed point , r and angle of f(z) ...

A: For a fixed point z, we have f(z) = z.  =&gt; (3 - 4i)z + 2 - 7i = z =&gt; (2 - 4i)z = -2 + 7i =&gt;...

Q: In changing the differentiating variable to a polar coordinate system, A. dx and dy becomes dr and d...

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

Q: 1 Differentiate f(x) = log, x from the first principle. Note: f'(x) = x In a

A: q- differentiate the function fx=logax from the first principle it is known that, according to first...

Q: Provide a direct proof of the statement below. Let a, b, and c be integers. If a|(a+b), then a|b.

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Q: Let y be a solution of the differential equation 2 * - (). where a + y +1 > 0 for all æ, y I+y+I suc...

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Q: Consider the set V of all vectors of the form (x y 2) where x, y and z are real numbers 3. Show that...

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Q: 2. Define the map T:P2¬P4 by T(f) (x)=f(x²), Please determine the rank of I by using standard basis.

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Q: prelative to the basis S=(P. P2. P3) for P2. p = 20 - 30x +25x; P, = 5, p, = 5x, ps = 5x. %3D %3D %3...

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Q: If a(1) = 2, and a(k) = 5a(k-1) for all integers k >= 2, then what is the 4th term of the sequence?

A: A sequence is a set of numbers that has a particular order or obeys a general form. Usually, the nth...

Q: please answer letter a only

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Q: Let O be the set of Odd integers and E be the set of Even integers. Find (0-E)U(E-O). Answer:

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Q: If the utility depends only on the consumption of x and u (x) = ( 2a¯i + 3) (-4xi +2), is Marginal U...

A: Given u(x) = 2x-12 + 3-4x14 + 2

Q: Linear Algebra: State wheether the following statement is true or false with an explanation  Every H...

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Q: (4) Consider the following set: S = {(x, y, z) E R' | xy + yz + x =-2}. (a) Show that S is a surface...

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Q: OForm patial differential equation by elinsinating arbitrary functions f and g from 2 = f) +y9(x) a)...

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Q: Let A = {r |x = 12k for some kEZ} Let B = { ¤ | ¤ = 4k for some k EZ} Prove that A CB.

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Q: The number of units in Z23[x] is 30 O 22 None 28

A: We need to find number of units in ℤ23x. We know that units in ℤ23x are those elements which have an...

Q: Solve for x. Assume that lines which appear tangent are tangent. 17

A: Given figure is 

Q: Show the derivation of formula for the conversion from spherical coordinates to rectangular coordina...

A: Rectangular coordinates can be written in spherical coordinates as follows: x=ρ cos θ sin ϕy= ρ sin ...

Q: 47. Determine the first and second derivatives of the function f(x) tan" (x² – x +1) tan %3D at x=1 ...

A: Given: The function, fx=tan-1x2-x+1   To determine: The first and second derivatives of the given fu...

Q: hird question: Using the simplex method, find the solution to the

A: Given,       Max.(Z)=42x1+7x2subject to constraint:           3x1+4x2≤12           5x1+3x2≤15and    ...

Q: 52х + 67y + 46z %3D 175 67х + 73у + 54z %3D 194 46х + 54y + 65z %3D 165

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Q: Q3/ Find the differential equation of the following curves where A and B are arbitrary constants: y ...

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Q: Find the area of the surface obtained by rotating the curve y? = 4x + 4, 0 <x s 8, about che x-axis.

A: We have to find the area of the surface obtained by rotating the curve y2=4x+4, 0≤x≤8 about the x-ax...

Q: Find the general solution of æ²p+ y²q = (x + y)z.

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Q: 11. х2 + у? - 6х + 16у + 24 %3D 0 12. Зx2 + Зу? -42у -153%3D0

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Q: Find all the roots of f(z) = 2z^6 + 81√3 - j81

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Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3. li...

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1 ddx(x+1...

Q: Based from a study to a certain player using Ald in Rank Game, the No. of Stack collected by the her...

A: The Lagrange's interpolation formula is given by  fx=x-x1x-x2x-x3x-x4x0-x1x0-x2x0-x3x0-x4y0+x-x0x-x2...

Q: These questions requires you to approach it from a student view, please answer as if you were replyi...

A: 1) List at least two (2) similarities and at least two (2) differences between linear equations and ...

Q: Prove that f(z)=|z| is nowhere differentiable in C but is continuous everywhere.

A: Given function is fz=z. We have to prove that the function fz is nowhere differentiable in C but is ...

Q: Fill in the blanks Suppose the initial mass of a radioactive isotope was 80 g and the half-life of t...

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Q: Scott surveyed 40 friends on Facebook and asked them where they were born and where they went to col...

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Q: Q. find the apPtoximation of the follo values, which Ts dfetent betueen the intelers 22/7 dr - 2+ si...

A: We can solve this using trapezoidal rule