About the sets, S1 = {(x,y) ∈ R2: x = y3} S2 = {(x,y,z) ∈ R3: x = (y−z)2} S3 = {(x,y) ∈ R2: x4 + y4=0} S4 = {f(x) ∈ P3(R): f(0) = f(1)} Bearing in mind that P3(R) is the set of polynomials of degree at most 3, with coefficients in R, judge as true or false: (a) Only S2 and S4 are vector subspaces. (b) The sets S1,S2,S3, and S4 are vector subspaces

Q: f(x) = X-3 15 A) C) for xU for x ≤0 ++D 2 4 6 X 6 X B) D) ←+H NA 67x. -2- 2 4 6 M

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Q: 8) For f(x) = x +1 and g (x) = 5x + 4, determine the following. a) 4 points h (x) = (f •g)(x). b) 4…

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Q: of of Find and f(x, y) = x 3 +3x 2y- 9xy 3 4-32 + 2xy - 9y3, - 3x2 + 3xy2 *=x2 + 3xy - 9y3, 4 = 3x2…

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Q: if y = x+ v3+ 2x then prove that (3+2x2) + 2x 2y = 0 %3D dr

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Q: (1)/(3) of the way from C to D When C = (-1,7) and D = (5,1)

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Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

Q: If f(x) = (x6 + 4x) ³, then df(x) a) 3(x64x)² (x5 + 4) b) 3(x6 +4x)² Oc) (x6 +4x)² (6x5) da equals…

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Q: The domain of F(x, y) =x*y+ x*+ = 1 D =R²- {(0, -)} A O D=R BO D=R? .C O D=R-{}

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Q: Find u, u = (-1, 4), v = (4, 5) (a) ||u|| v, uv, and d(u, v). (b) ||v|| (c) (d) U V d(u, v)

A: The given vectors u=-1, 4, v=4, 5. We have to find the values of u, v, u.v, du, v.

Q: V7x+2-V6x+4 = )f(x مستمرة عند 2 = ۲ if x 2 and x # 2 1- قيمة الثابت الذي يجعل الداله (x-2) if x = 2

A: Continuous at x=2,  using rationalization

Q: S F(s) = (s + 5)(s² + 25).

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Q: The zeros for Ax) = x-4x-9x + 36x are 1) (0,+3,4) 2) (0,3,4) 3) (0,±3,-4) 4) (0,3,-4)

A: Using method of synthetic division to find factors of f(x).

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: az Find 2) Let z = f(x,y) = 4x2 - 19xy + 2y3. A) -19x - 6y C) 8x - 19y B) 8x + 19y2 D) - 19x + 6y2…

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Q: Find the midpoint of (6, 7) and (14, 11). O (7, 18) О 20, 18) О 10, 10) (10, 9)

A: given points :(x1,y1)=( 6,7)(x2,y2)=(14,11) Midpoint = x1+x22,y1+y22

Q: let fAg be funcbions that sabis fy fla)= -4 A g la)=-9. find h'la) for: a) h(x) = 2f(x) c) h(x)= 10…

A: Since multiple sub parts ate asked, I am answering first 3 subparts.

Q: Which of these functions has a y-intercept of (0,9) ○ A) ƒ(x) = 9x² + 4x + 2 B) f(x) = 9(x-3) (x +…

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Q: P(x1, x2) = x1X2, Q(x1,x2) = –2x102; D = {(x1,x2) :1 < x1 < 2,0 < x2 < 3}. %3D

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

Q: Could I get help finding the fx(X,Y) and fy(x,y) with the attached problem please

A: The given function is

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: B/Determine: s²+95+2 1.2-[ (5+3)(8-1)2 2.2-1 [ 词 8+1 ((x-1)82)

A: We have to find the inverse Laplace transform. 1. L-1s2+9s+2s+3s-12 2. L-1s+1s-1s2

Q: What is (fo g)(x) if f(x) = 2x + 3 and g(æ) = ? ㅇ (fog)(x) =D 글2 +를 3 ㅇ (fo g)(#) = #z+ 을 ㅇ (fo g)…

A: See attached file for a step by step explanation to find the required composite function.

Q: If f(x) = x*(3x + 2)°, find f(x). O x(3x + 2)7(11x + 8) O x³(3x + 2)7(36x + 8) O x³(3x + 2)7(20x +…

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Q: Ans: Σ 1 sinh na Uxx + Uyy = 0, u(x,0) = 0, 0 < x < 1 u(x, 1) = 0, 0 < x < 1 u(0, y) = 0, 0 < y < 1…

A: This a   Dirichlet  problem for Laplace's equation  uxx+uyy=0 , 0&lt;x&lt;a , 0&lt;y&lt;b  comparing…

Q: If x G(5,4), then 2X Y = ~ 4

A: Solution

Q: 1. Let f(x) = 3x + 1, g(x) = 7 – 2x, and h(x) = x² – 4.x + 5. Find the following: a) (f + g)(2) b)…

A: 1. Given, f(x)=3x+1g(x)=7-2xh(x)=x2-4x+5

Q: Q2) If f (x) = x + 5 and g(x) = x² – 3, find the following: %3D 1) f(f(x)) 2) g(f(x)) 3) f(g(x)) 4)…

A: Given that: f(x)=x+5          and    g(x)=x2-3

Q: Find t for the following terminal points: (a) P(0, 1), t = (0) P(-, ), t =| (c) P(-1,0), t = (d)…

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Q: sWhat are the points of discontinuity? (x+1Xx-5) y3D *+4x+3 Ox-3, x--1 Ox--3, x=-1 Ox=5 Ox=5,x=-1

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Q: for power substitution method, next step is * For f V1+ Vx dx - (u*) (2udu) - [u? (2udu) Option 1…

A: We have to find the correct option from the given options.

Q: Let fx)-1+x+x² and h = 0. (5+1)-(5)-(1)? (a) Does O Yes No Well done! (b) Find f(x + h). (c) Does…

A: We need to find function.