Let X = {a, b, c} and S = {a, b}. Then %3D %3D 1. σ(S) S. 2. a(S) = {0, S} 3. o(S) = {0, S, X} %3D %3D 4. σ(S) -(0, S , S, X. %3D

Q: 10. Atriangle has vertices at A(-3,-1). B(-6,-5). C(-1,-4). Which transformation would produce an…

A: The given vertices of the two triangles are A-3, -1, B-6, -5, C-1, -4 and A'3, -1, B'6, -5, C'1, -4…

Q: Write the coordinates of the vertices after a reflection across the line x = 2. F E D -10 10 10 D(3,…

A:

Q: 2 3 A = 1 4 Given then

A: Given the matrix A=2314

Q: Question 4 Consider a consumer who consumes three goods, 1, x2 and r3. The consumer's consumption of…

A: Given: x1(p, s, w, y)=p2yw-sy=0             x2(p, s, w, y)=3yw-1sw=2             x3(p, s, w,…

Q: 1 -1 , the image of the line y = -2z 40. IГ Т 3 1 under T is A. I = 0 В. у3 0 C. y = 3x D. y =

A:

Q: 1.4 Which of the following equations are linear? (iii) x = -7y + 3z (i) x + 5xy – 2z = 1 1 (v) VTx +…

A:

Q: Which of the following sets are linearly independent in p3? S, = {(1.21). (1.-1,0). (1, 1,1)} S3 =…

A:

Q: 2. We showed in class that EL (: - T)(y: – 9) can be written as a linear combination of ys: B1 = Gi…

A:

Q: 1) Draw the graph for the function Y = x3 and then find (Df) & (Rf). ) Draw the graph for the…

A: The domain of a function is the complete set of possible values of the independent variable (x)…

Q: 2. Let X = (a, b, c, d, e} and t = {(O, {a, c, d), (b, c, d, e), (a), (C, d), X) then subbase of (X,…

A: (2) Given a set, X=a, b, c. d, e and τ=∅, a, c, d, b, c, d, e, a, c, d, X. To find the sub-base of…

Q: 10. Given ủ [10,4] and i [12, – 13], find the projection of i on v. %3D %3D

A: Here we use projection formula

Q: Find if y = cos(e-2=) dy None 2e-2". sin(e-2") 3e2r. cos(e-2r) e2= . sin(e-2#)

A:

Q: Determines the distance between the left right.

A:

Q: +3. . Find the linearization of _9). Can you tell anything about the error? at (3,2). Evaluate at…

A:

Q: 3. Find the image of the line y = –2x + 3 under the reflection in the line y = -x.

A:

Q: Calculate , (7xy+ 3e²) dS, where S is the triangle with vertices (0,0, 3), (1,0, 2), and (0, 4, 1).…

A: Given vertices of triangle are 0,0,3 ,1,0,2 ,0,4,1 Let the equation of plane through these points…

Q: (b)Let A = {1,2,3}, B = {a, b, c}, and C = {x,y, z}. Consider the following %3D relations R and S…

A: Given R=1,b, 2,a, 2,cS=a,y, b,x, c,y, c,z

Q: 11. Find the value of x. **Show work** (5x)º - (3x+28)º

A: Using same sides of angles are equal,

Q: If A%3 2x3 -Зх +2:х € [О, 2) then in (R, T,), A %3D а. [-3, 1] b. [-1, 1] с. [1, 3] С. d. [0, 4] e.…

A: Open sets and Closed sets: The sets in topology τ are called the open sets of the topological space…

Q: The correlation between X and Y is calculated and recorded as rxy (and rxy is negative). A linear…

A: 10 From the given information, The correlation between X and Y is calculated and recorded as rxy.…

Q: 34. A half-turn about (3, 2) maps P to P'. Where does this y half-turn map the following points? (3,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Calculate f (3xy + 4e²) d.S, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4,…

A:

Q: The covariance of X1 and Xzis defined by cov(X, X,) .A .B E[(x, -x,)=] .C E[(x, - x,)] .D

A: Option D is correct.

Q: 4.4. Suppose that u = (1,3) and v = (3, 1). (a) Sketch the points tu + žv, žu +v, and žu + jv. (b)…

A: Solution: Given u=1,3 and v=3,1

Q: 5. (a). i • (7F + (; (b). |(i • )i\\; (c). i • ); (d). (i) • . Let i = (1, 2,0), F = (4, 1, —2), and…

A:

Q: 13. Find the intersection of [x., y.=]= [4,-2.3]+ r[1,–1,7] and| [x, y, =]=[2.-4,11]+ s[3.1,–1].

A:

Q: 9. and 4.3-10. Let f(x) hylx)%3D1/(10-1), y x ) = 1/10, * = 0, 1,2.. , x+1.... r+19.Find (a) f(x,…

A: The given information: fx=110, x=0, 1, 2, .......9hy|x=110-x, y=x, x+1, x+2.....9

Q: as indicated. O Show that (S o R)-1 = R-1 o S-1, for any relations R and S.

A:

Q: Prove the Distributive Law: A n (B U C) = (A n B) U (A n ).

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

Q: tices of ΔA'B'C produced by T−3, 6 (ΔABC) = ΔA'B'C?   A. A′(0, 6), B′(0, 4), C′

A: Introduction: The coordinates of the triangle is A3,0, B(3,-2), C(0,-3). We have to find the…

Q: Elizabeth Swann and her husband consume wine (W) and books (B). Elizabeth's utility function is…

A: Elizabeth Swann and her husband consume wine (W) and books (B).

Q: If y = (1 + x) then what is the value of y'(0)? a) 0 b)-1 c) 1 d) -2 e) 2

A:

Q: Assume we know that the covariance of X and Y is 13/2500. Calculate Cov (-5X+ 9, 3Y- 7 Enter your…

A: It was stated that the covariance of X and Y is 132500. Then, need to calculate Cov(-5X+9,3Y-7)…

Q: əz az +Y ay ax then x- If Z = tan-1(2) O 1 O 2

A:

Q: 10 -8 -6-4-2 Clear All Draw: 5 4- 1 2 -2 -4 -6- -8- -10- 2 6 8 ]I ر ۸٢

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.