V₁ = {(₁, 2₂,...,xn) € R¹ | x₁ ≥ 0}. V₂ = {(1, 2,...,xn) € R" | x₁ + 3x₂ = x3}. V3 = {(x1, x2,..., In) € R¹ | x² + 9x² = x²}.

Q: Describe 3 different models (mathematical or otherwise) that you use or encounter frequently in…

A: Mathematical modeling: Mathematics provides tools for analyzing relationships between variables and…

Q: Question 7 < A pianist plans to play 6 pieces at a recital from her repertoire of 21 pieces, and is…

A: Given: A pianist plans to play 6 pieces at a recital from her repertoire of 21 pieces. We need to…

Q: Prove that the sum of two rational numbers is rational

A: A rational number is a type of real number that can be expressed as the quotient or fraction of two…

Q: The line passing through the points (9,2) and (3, -2).

A: The line passing through the points (9,2) and (3,-2)

Q: Find eqation of line through the point (4,2,1) and (0,4,2)

A:

Q: f (x) =-12 cos 2x+ +7, find the amplitude, period, horizontal shift 3

A: Solve above problem.

Q: How Reducible Second-Order Equation is form?

A: Given:  How Reducible second order equation is form.

Q: if f(1)=2 and f(n)=f(n-1)^2-3 then find the value of f(3)

A: Given  f1=2fn=fn-12-3 To find f(3) substitute n=3 in f(n) fn=fn-12-3f3=f3-12-3      =f22-3

Q: Q18   tions, as indicated, and simplify your answer. (y+1)/(y-1)-(y-2)/(y+7)-(4)/(y^(2)+6y-7)

A: Taking LCM of denominators is the key here.

Q: Find the equation y = f(x) passing through the points (-11-21), (1,15), (2,12) and (3, 3)? Find also…

A: We will use the Lagrange interpolation method. We have: x x0=-1 x1=1 x2=2 x3=3 y y0=-21 y1=15…

Q: (x1,y1)=(4, 2),(x2,y2)=(3, 0),  (x3,y3)= (1, 7) and(x4,y4)=(8,2). Trace these points on graph, also…

A: Let A(4,2) , B(3,0) , C(1,7) , D(8,2)

Q: Determine x so that 4 is the slope of the line through the points A(6,12) and B(x,8) Please solve!!

A:

Q: Can (4,-2,4) be written as a linear combination of (1,0,1). (3,-4.1) and (4,-6,-2)?

A: We need to see if 4,-2,4 can be written as a linear combination of 1,0,1 , 3,-4,1 and 4,-6,-2 . We…

Q: Graph y = 5e-xon [-4, 4] by [-1, 20] .

A: Consider the function y=5e-x to plot the graph on the window [-4, 4] by [-1, 20], the horizontal…

Q: Which equation represents the inverse, f-4), of the function f(x)= 3x+1? I+ = (x)1-f O %3D Of (a) =…

A: An inverse of a function f maps from co domain to domain with respect to the function  f. The…

Q: ({)*** = 2x+2 27 %3D 125

A: topic - exponents and linear equation

Q: ∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)

A: The given equation is,

Q: 2X1 + 2X2 + X3 >= 1000   2X1 + 2X2 + X3 + X4 = 0   How is draw this graphic?

A: To draw the graphic for this system of linear inequalities, you can follow these steps.Here is a…

Q: Determine if (3, -1, 4) is a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)

A: A linear combination is very significant in linear algebra. When some given vectors are multiplied…

Q: Where does the s+4 come from on step 2 (line 6)

A:

Q: What is the point of intersection of the two functions? 12) y--3x-23 -2r+4y-6 A) (-2, 3) C) (-3, 2)…

A:

Q: Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

A:

Q: The graphs of the equations (x - 3)2 + (y - 5)2 = 10 and x2 + (y + 1)2 = 25 intersect %3D at

A:

Q: Domain

A: Given function

Q: Line j passes through the points (-5,-2) and (5,4). Line k passes through the point -3,6) and is…

A: Equation of line passing through points x1,y1 , x2, y2is defined as y-y1 = y2-y1x2-x1x-x1 Equation…

Q: Equation form Ax + By = C    m = -4/7; (5,5)

A: Topic = Coordinate geometry

Q: 36x'y + 42x1– 24x2y ,3,,3

A: