T(V1,V2, V3) = (v 2- V1,V1+V2, 2V1), w = (- 11, – 1, 10) to find the preimage of vw .a (5, -6, t) .b (1, 4, 5) .c None

Q: Find R(t) if R′(t)=⟨1+2t,2e2t⟩ and R(0)=⟨1,3⟩.

A:

Q: Find x; y; z; t where 3 (, ) = (_; )+(,÷, **) 6 4 x + y\ \z +t 1. O x = 2,y = 4,z = 2,t = 3 2. O x =…

A: Find x,y,z,t

Q: Find (a) ker(T) and (b) range(T).T: R4→R3, T(w, x, y, z) = (2w + 4x + 6y + 5z, −w − 2x + 2y, 8y +…

A:

Q: ALGEBRA In AJLP, M2JMP = 3x – 6, JK = 3y – 2, and LK = 5y – 8. 34 TE an 35. Find LK if PK is a…

A: The solution of the problem is given in the next step.

Q: Use the function to find (a) the image of v and (b) the preimage of w.T(v1, v2, v3) = (2v1 + v2, v1…

A:

Q: At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees…

A: Payoff: The consequences of a decision problem for any combination of states of nature and decision…

Q: Which of the following properties satisfy the equation * 9x2 + 16y² + 72x- 96y + 144 = 0 %3D C(4,3);…

A:

Q: write limear combimation of Vq, Uz, Vg .Where 4 V, Vz, Ug .Where as a V. (2,7,10),Ve(1,2;3),Ve…

A: We have to write v as a linear combination of v1,v2 and v3. Then, For any vector a,b  and c…

Q: Q.2: Find u x v, where a: u = (1,–3,4) & v = (3,4, 7), ats b: и %3D (1,2,3) &v %3D (1,5, 2).

A: Given: a u=1, -3, 4 and v=3, 4, 7b u=1, 2, 3 and v=1, 5, 2 To Find: u×v=?

Q: Which of the following points are coplanar? a. (-4, 1, 0), (0, 1, 2), (4, 3,-1), and (0,0, 1) b.…

A: set of points are given, we have to find coplanar points

Q: Use the function to find (a) the image of v and (b) the preimage of w. T(v1, v2) = (v1 + v2, v1 −…

A:

Q: XY 1 VY, XY | VW, and WX 1 VW. Complete the proof that AVWX AXYV. W Y Statement Reason XY 1 VY XY ||…

A: Given:

Q: Let z = 2r - 3y and z = 4u – 5v, y = 4u + 5v. Find usig the chain rule.

A: Let z=2x2-3y2 and x=4u-5v, y=4u+5v

Q: Use the function to find (a) the image of v and (b) the preimage of w.T(v1, v2, v3) = (v2 − v1, v1 +…

A:

Q: Use the function to find the image of v and the preimage of w. T(V1, V21 V3) = (4v2 - V1, 4V1 +…

A: The given function is T(v1,v2,v3) = 4v2-v1, 4v1+5v2 we have to find image of v = 1, -4, -2   and…

Q: a. Assume that traffic flows at a rate of 215 vehicles per hour on the stretch of road between…

A:

Q: poin Suppose u(t) = w(t² + 1) and w' (2) = 7. Find u' (1). u'(1) =

A:

Q: Use the function to find (a) the image of v and (b) the preimage of w.T(v1, v2) = (v1, 2v2 − v1,…

A: Given:

Q: aw Q1/ Find aw and when p=1, q=4, if: W= xy+yz+zu+uv and x-pq, y = qtan-'p, z= In(q-3p), u = Vq +…

A:

Q: Find a function r(t) that describes the line segment from P(2,7,3) to Q(3,1,1). O A. r(t) = (2 – t,…

A:

Q: Let (pos S) be the set of all positive combinations of the points of S. Which of the following…

A: We need to find out which statements are correct. To do that, we shall independently analyze both…

Q: Give an example of (v1, v2, v3) and (w1, w2, w3) independent se- quences in the R“ such that…

A:

Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

A:

Q: 9. For what value(s) of h will y be in Span{v1, V2, V3} if V1 = V2 = -4 V3 = and y = h

A: We have to solve given problem:

Q: Find the real numbers x,y,z,t if -3x +y+ zt = 0 3x + y(t – 1) – z(t+ 1) = 0 3x +y+ zt =t+2 - 3x +…

A:

Q: ... Solve for w where u = (-1, 1, 1, 0) and v (-1, 2, 3, 0). 3w = u- 4v W 3=

A:

Q: let u=(1,2,3),v=(2,2,-1),w=(4,0,-4) find z where 2z-3u=w

A:

Q: Q16. If = xzī + xyJ – yzk what is V × ¤? zī - xj + k -zī - xj – k -zī + xj + yk -zi- xj + yk ī+ xj +…

A: Curl of the vector field

Q: Use the function to find (a) the image of v and (b) the preimage of w.T(v1, v2, v3) = (4v2 − v1, 4v1…

A:

Q: Find the stright line L1 through the point P:(1,3) in the xy-plane and perpendicular to the stright…

A: Given Data: The equation of the straight line L2 is: x-2y+2=0 The point P is: Px1, y1=P1, 3   The…

Q: r = |7| , ř = 2xi – 3yj + zk let V(2r), v°(r) find all of

A: Vector Differentiation

Q: Solve for w where u = = (0, 1, 1, –1) and v = (0, -1, 2, 3). %3D 5w = u - 4v W =

A:

Q: Fourth question: r = 7| , = xi + 4yj- 2zk Let it be V(6r), v²(7r) find all of

A: According to question,r = r→,andr→ = xi + 4yj- 2zk

Q: solve for w where u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v w=

A: Given that, u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v

Q: Find w such that 2u + v - 3w = 0. u = (0, 2, 0, 6), v = (0, 5, 1, -3) W =

A: Given: u=0,2,0,-6, v=0,5,1,-3 And 2u+v-3w=0

Q: Find fy and f, and evaluate each at the given point. (x, y, 2) = x²y³ + 2xyz – 6yz, (-2, 1, 2) ,(X,…

A: Given :- f(x, y, z) = x2 y3 +2xyz-6yz  To find:- fx(x, y, z) fy(x, y,z)  fz (x, y, z)  fx(-2,1,2)…

Q: Consider the polynomials p,(t)=7+t and p2(t) = 7-t. Is {p1, P2} a linearly independent set in P,?…

A:

Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

A: Solution:

Q: o Find the Vf at the given point 2. (x,y.2)=(x² + y² + ²)² +In.xyz,P(-1,2,–2)

A:

Q: Use the function to find (a) the image of v and (b) the preimage of w.T(v1, v2, v3) = (2v1 + v2, 2v2…

A: Given: T(v1, v2, v3) = (2v1 + v2, 2v2 − 3v1, v1 − v3) v = (−4, 5, 1),  w = (4, 1, −1) a)Image of v=…

Q: 1. R(t) = −0.3t2; R'(3) R '(3) =   1B. U(t) = 5.3t2 − 1.7t; U'(3) U'(3) =

A: 1. R(t) = −0.3t2; R'(3) R '(3) =   1B. U(t) = 5.3t2 − 1.7t; U'(3) U'(3) =

Q: Let w = iz2-4z+3i. find (a) Δw, (b) dw, (c) Δw-dw at the point z=2i

A: Consider the provided question, (a)

Q: Q5: ди ди ди and dz p-q a. Find for u = if p = x + y + z ,and q = x + y + əx' əy q-r z, and r = x+ y…

A: Consider the given values. p=x+y+zq=x+y+zr=x+y-z And, u=p-qq-r                          (1)

Q: |- ri + 2r3 r3- 4x2 T:R R2, T 21, 22, r3 E R

A:

Q: (b) Note that v(t) = t² – t – 12 = (t – 4)(t + 3) and so O on the interval [2, 4] and v(t) > v %3|…

A:

Q: Use the function to find (a) the image of v and (b) the preimage of w.

A: Given: Function  T(v1,v2)=22v1-22v2,v1+v2,2v1-v2v=(1,1), w=(-52,-2,-16)

Q: Let *- y= ÿ.z=0 and x ỹxz= V3 where x,y,ZER'. Which of the followin. 2 can be the value of X Z? V3…

A:

Q: Exauple- If v=(T') is a contraviurient vecfor, Shew that He Parhil clenivatokes , dehined in each…

A:

Q: Prag the pn ets the fa to the fte that anh rowta futon, te fasten, thgagh and a rertate taof vaken…

A: Let's find.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.