Let R = (6, 5). Calculate the length of OR. ||OR||

Q: Let P=(−28.4,28), Q=(−24,x+4.29) and R=(−29.4−x,32) points in space. Check the alternative that…

A: The solution of above question is written in step2.

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Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

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Q: Which theorem can be used to prove that ARQM APMQ H R P M

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Q: Consider j1,ỹ2, ỹ,ER° and that ỹ,+y;+ÿ;=0. For Î=span{ÿ, ,ÿ and Y=span{ÿ2, ÿ}, show that Ý=Ỹ.

A: Given y1→, y2→, y3→∈ℝ5 such that y1→+y2→+y3→=0. Let Y^=spany1→,y2→ and Y~=spany2→,y3→. To show…

Q: use the given figure find the lengith of x . to メASC

A: Using Pythagoras theorem

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A: Given  r(t) = <4t, 6t2, 2t3>

Q: Let et x= and y = . Find the distance betwen 2x and y

A: #  Given Data:     x=3,0,0     y=6,3,4

Q: 98. Use the results of Exercise 97. peinn (2.) m Find the distance between the points ( 2, and ( 4,

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). V = (0, 12) a= b =…

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Q: Q21 find the Slop af following angles: c)a = IS:

A: Find the slope of following angles

Q: b, c e R such that abc

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Q: Let fx,y) = xcos(xy)+ y'. Which of the following is true?

A: Given function - f(x,y) = xcosxy3+y7Differentiating with respect to x - fx=ddxxcosxy3 + ddxy7fx =…

Q: Write a proof using indirect proof in paragraph form. Given: Transversal t cuts lines a and b.…

A: Write a proof using indirect proof in paragraph form. Given: Transversal t cuts lines a and b. We…

Q: If r(t) =  , find  r'(t), T(1), r''(t), and  r'(t) × r ''(t).

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Q: uppose that L is parallel to D. The distance between L and D is V90.

A: b=59 a=114

Q: Given: C is the midpoint of AE. C is the midpoint of BD. AL BD Prove: AC C) Statements Reasons

A: Given:  C is the midpoint of line segment AE. C is the midpoint of line segment BD. Also the line…

Q: suppos e Fx (x)= 2% , o<x<77, and 72 y = sing . find fyld) and Fyly) .

A: We are given a PDE in variable x as : fx(x) = 2x/π2 And we have to calculate the PDE : fy(y) w.r.t…

Q: Find the degree of Q(V2, V5) over Q.

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Q: Find the value of x.

A: we have to find the value for x in the given triangle

Q: l find the are Length of the eurve- 3. from Y=1 to Y= 3

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Q: r(0)=, find v(t) and r(t).

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Q: If A' = g;a,rsys , Yi = birx, , and a;,b,j = dij. Find A' in terms of the x,

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Q: Solve the IVP. Find and verify the condition num- ber. y' = -ty; 0<t < 5, y(0) = 2, 2.5.

A: The IVP is given by y'=-ty, y(0)=2. We need to solve the IVP where  0≤t≤5. The given problem can be…

Q: The norm of the set {cosh(i nn x},n E N, –-2<x<2 in the Hermitian sense is:

A: Given,                  cosi nπx, n∈ ℕ, -2≤x≤2

Q: Suppose n is an integer and z-z=r is a contour traversed once in counter clockwise , then P(z-z)" dz…

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Q: Let A = (m, n) and В 3 (х, у) . If A and В lie in one horizontal line and is to the right of A which…

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Q: : Given a r.v.*=2, 3,4,5, then Find the Pif. of X (fw): ,

A: Given that, a  random variable , X = 1,2,3,4,5 We need to find probability function of X i.e f(x)

Q: et whose A = T be standard matsix teans bormaton is the lineas 2. 3. Does maps R3 onto R4? s Ta one…

A: Given that T is a linear transformation whose standard matrix is given by A=203032005000. We have to…

Q: k and Ĉ = к апd rs along the a ICorteeion

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Q: Write down an explicit bijection between the following sets a. The interval (-2,1] and the unit…

A: Given:-             Write down an explicit bijection between the following setsa. The interval…

Q: Find (t), given 7(t) = (- 2 In(5t), - 5/5t, – et). %3D F'(t) =

A: Explanation of the solution is given below...

Q: Let X = R, and M = {0}, then span (M) = %3D %3D OR O {0}

A: If, M = {0} then, span(M) = {0}

Q: Let T ∼ Γ(r, λ). If μT = 8 and σ²T = 16, find r and λ.

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Q: A. Find r and 0 so that the perimeter is smallest when (a

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Q: Which of the follow that apply.

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Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

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Q: Find the pointP such that v = PQ has the components (-9.75, 5.75, – 16.5). Q = (-7.75, 6.75, –9.5)…

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Q: ■ Show that the area of the triangle whose vertices are the [X1 У1 points (x₁, y₁), (X2, Y2) &(X3,…

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Q: Let A EMn (R) be given. If 11x11 = 11yll = 1 and x •y = 1, show that x=y

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Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. 4 Enter the…

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Q: a b be suc b |, then t

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Q: (b) let ( X, Ź M) be a mea Sure pace for A, BE E Show that MLAUB) = MCA) + M(B) MCANB)

A: since this is a multiple question, as per company policy, we shall only 1 question. If you want any…

Q: Prove that (a - b) x (a + b) = 2 a x b and find the geometrical meaning of it.

A: find the explanation below

Q: (b) If y=ae", express t in terms of a and y.

A: