2. If (x, y) is a sa

Q: Find the required limit or indicate that it does not exist. 1. lim3(2(t – 3)²i – 7t°j) 2. lim→1(i -…

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Q: Suppose that y= 2(1- e *). Compute y' and show that y' =2-y. y' =] 2-y%3D Does y' = 2-y? O Yes O No

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Q: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

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Q: 1.) Find v(t) 4+ 37 2-

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Q: 1. Find the value for a and the value for b such that au + bv = w if u=(-2,3), v= (1,–3), and…

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Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

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Q: then E(y) and V(y) are

A: here given , y =  5x-1  E(x) = 2,  v(x) = 1

Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

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Q: 1 - Be X and Y variables independent with o ²X variations and o2²Y, respectively. Being Z=X+ Yand…

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Q: If u = 7 then uu? and u'u =

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Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: If X is the number of heads obtained in four tosses of a coin, the 1 is 1+X mode of Y =

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Q: Show that is isomorphic to Z2.

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Q: If f'(t) = 9t² + e' and f(0) = 4. Compute f(3).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 2.9 Present an inverse-transform algorithm for generating a random variable from the…

A: Here is the inverse-transform algorithm for generating a random variable from the piecewise-constant…

Q: の|=4+- COSU u =TX ノ H.W ノ

A: Given that  y=u+1/cosu  u=πx and x=1/4

Q: Exercise 3. Suppose that A and B are independent. Argue that A' and B' are also independent.

A: P(A⋂B)=P(A)P(B)  when A  and B are independent.

Q: 1. If l = P+[v]=Q+[w] , how must P, Q, v, and w be related?

A: Given l=P+[v] is a line where [v] is a span of a unit vector v, we can write [v]=cv, c is a scalar…

Q: 27. Let a, b eR 3 a> 0 and b > 0, A = (0, a) and B = (0,b). If D = {xy : x € A and y e B} %3D then…

A: Option (C) is correct.

Q: Exercise 2. Prove that if A = B and C z D, then A × C = B x D.

A: Given data: A≈B......(1)C≈D......(2) The objective is to prove A×C=B×D

Q: 1. a)Why could x cause y b)why y could cause x

A: Given that the linear regression model is y=0.414x-12.3. Where, x is the independent variable and y…

Q: 2. Let A = and B = al. Show that det(A + B) = det A + det B if and only if a + d = 0.

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Q: Compute u – 3v, u v and u x w.

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Q: Let U = {x | x is the name of one of the months in a year} J = {x | x  U and x begins with the…

A: Given that U = {x | x is the name of one of the months in a year} J = {x | x U and x begins with the…

Q: Let U = x'e . Find dU .

A: The given function is: U=x2eyx Therefore: dU=∂U∂xdx+∂U∂ydy

Q: Let D be the closed region in R² bounded by x² – 2xy + y? + x + y = 0 and x +y +2 = 0, as pictured…

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Q: Show that if we make the change of variables =x – ct and n =x + ct, then, as in (16.7), a?u ,a²u a…

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Q: Show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

A: We have to show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

Q: If X= { a, b, c, d } and Y = { f, b, d, g},      find. (i) X – Y           (ii) Y – X          (iii)…

A: The given sets are

Q: A group of 90 tourists has a trip in Boracay. The island has two kinds of vehicle, the ordinary…

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Q: If u x = [1, -3,5], thenx =

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Q: Let Ai = {…,−2,−1, 0, 1,…, i}. Find

A: Here, Ai = {…,−2,−1, 0, 1,…, i}={ xϵ Z| x≤i }