Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

Q: Q3- Find the numerical value of §. xdz, if c = c, + c2 + C3.defined in the given figure. (2,2) C2…

A: We will find out the required numerical value.

Q: Ex:- If X~ Bin(n,P) If Mx= E)= 2 V(X) = 1·2. noP, P(X=\) Find

A: It is given that EX=2 and VarX=1.2 Therefore EX=np=2 and VarX=npq=1.2 Therefore VarXEX=npqnp=q…

Q: Yk+1Yk – 2yk - -2 into the linear o quation ea

A: Given,                     yk+1yk-2yk=-2                                (6.38)

Q: If |u| = 5, |v| = 2, and u • v = 7 find |u + 3v|

A: Topic:- vector algebra

Q: Sotve (D + 1) y = 0, t> 0, ify=yo when t= 0

A:

Q: If t= 11n-6, find t,, t and t n+1 t 1-t 72

A: We have the given expression as tn=11n-6   We have to find t1t10tn+1-tn

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

A: Given  r(t) = <4t, 6t2, 2t3>

Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

A:

Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (1, 8, 7).…

A:

Q: Express the following as a linear combination of u = (2, 1, 6), v = (1, -1, 4) and w = (10, 2, 6).…

A: We have to find out

Q: If r(t) = (-e", 4t³, 7t) then r'(t) = (-2te-, 12t, 7). %3D Select one: O True O False

A:

Q: T. If TM 3y and TX 2y + 24, then Y

A: Given,  TM = 3y TX = 2y + 24

Q: Q3- Find the numerical value of xdz, ifc = c, + C2 + C3.defined in the given figure. (2,2) C2 (1,1)…

A: Integrate in parametric form.

Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w = (1, −1). (Enter…

A:

Q: If z1 = 1+ jb , Z2 = re¬1² , z/z2 = -10 , determine all possible values of b and r %3D

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Q: Express the following as a linear combination of u= (3, 1, 7), v = (1, -1, 7) and w = (6, 3, 6).…

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Q: Suppose u(t) = w(t? + 4) and w' (5) = 11.

A:

Q: find Lenjth f aueetors =く3,-S,l B=くW5> ジ,37 ond く2>

A: Given:- a = <3, -5, 10)> b = <1, 5> v = <2, 5> w = <2, 1>

Q: Express the following as linear combinations of 1= (2, 1, 4), v= (1, – 1, 3), and w= (3, 2, 5). 8.…

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

A:

Q: Find u xv and determine whether u x v is directed into the screen or out of the screen. |v|= 4 45°…

A: We have a×b=absinθ So,  u×v=uvsin45°=3×4 sin45°=12×12=62 Hence, u×v=62

Q: The SUstolic bloo an approxi matelu lo and 12o M- Bif a Male . but that he पी Maan Wald

A: The z score can be calculated as follows:   Given: (a) Substitute the given values to find the…

Q: Find (3u − v) ∙ (u − 3v) when u ∙ u = 8, u ∙ v = 7, and v ∙ v = 6.

A: Given, u ∙ u = 8 u ∙ v = 7  v ∙ v = 6 To find:   (3u − v) ∙ (u − 3v)

Q: Given u = (0,0, -4) and v = (0, –4, -4), which of the following represents u X v? 16 12 8

A: To find out the u×v

Q: - is a real num 1S y+z= 6, 4x +

A:

Q: If z̟ = 1 + jb , z2 = re¬j² , z1/z2 = -10, determine all possible values of b and r.

A: According to the given information, it is required to determine the possible values of b and r.

Q: Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, –3). (Enter…

A: Solution is written in below steps.

Q: Let A = [0, 1] × [0, 1] C R². Suppose

A: (b) Given, A =0, 1×0, 1⊆ℝ2 and f : A → ℝ is continuous on A (relative to A)       Define F: 0, 1→ℝ…

Q: Find Re(z) if z(2 + i) = z+(16 + 20i)

A: Given that, z2+i=z¯+16+20i. We need to find Rez.

Q: Ex Find lull, , u.v, and d(4,v). U = (-1,1) , v= (7, 9) O d(u, v)

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Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

A:

Q: Express the following as a linear combination of u = (3, 1, 6), v = (1, -1, 8) and w = (5, 5, 7).…

A: Let's find.

Q: umbers that has and his 34) а, hen e2n/(n+2) %3D ness line

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Q: Let id (2,-2, 1), d= (2,-1,-6). Find i ,-dand |M.

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Q: Find Re(z) if z (2+i) = z + (16+20i)

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Q: Let ū : 0| and d 2 %3D .2 3 n projju = and perpru =

A: Given,           u →=102     and     d →=123

Q: Let x~ N( M, -) Ti- 5, Ź (xi-x)* 2 %3D %3D n -1 Ź(xi- 7)" 2 2. T2 = 2. 2. 2. Check the Consist of 6,…

A: We know that, Y=∑xi-x¯2σ2~χn-12 Then  EY=n-1⇒E∑xi-x¯2σ2=n-1⇒E∑xi-x¯2=n-1σ2--->1…

Q: For u =(5,-5) and v = (-3, 2) find u. v. u v = 2.9 u•v=

A:

Q: Check That

A: Given: ∂2W∂U∂T=∂2W∂T∂U  for W=eUT

Q: Let Compute θω -(2, -3) = 28 მs дw -(2, -3) = Ət w = 4xy-yz - 3xz, x = st, y = est, z = ²

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Q: iR wa fcu) and メッ show that u ニ メャッ? 2 X Jw ニ0

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Q: If r(t) = (3e2t, 3e-2t, 3te2“), find T(0), r"(0), and r'(t) · r"(t). 2 2 1 T(0) - 3' 3' 3 r"(0) =…

A: We have to find the dot product of r'(t) and r"(t)  Please see the explanation below

Q: Eliminate the parameter t in the X=2+4tant y=7+4 sect

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Q: Find p and q, if X, = 11, n = 30, X, = 18, and n, = 70. A) p= 0.29 and q= 0.71 B) p= 0.71 and q=…

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Q: Let ř =xi+y+ zk, and let u= ||F|I. 2-2u = 3ue. Show thet Dflu)= 6- 6u)e" r.

A: Given, fu=3u2e-2u. We have to show that ∇fu=6-6ue-2ur→ where r→=xi^+yj^+zj^.

Q: Express the following as a linear combination of u=(2, 1, 3), v= (1, -1, 4) and w=(2, 8, 8). (5, 14,…

A:

Q: If r(t) = (3e2t, 3e-2t, 3te2t), find T(0), r"(0), and r'(t) · r'(t).

A: Given

Q: Find (u - 3v) · (3u – v), given that u u = 9, u v = 6, and v . v = 8.

A:

Q: Express the following as a linear combination of u = (5, 1, 6), v = (1, -1, 5) and w = = (1, 5, 6).…

A: The given vectors are  u=(5,1,6)v=(1,-1,5)w=(1,5,6) We have to write the given vectors in linear…

Q: Express the following as linear combinations of u = (2, 1, 4), v = (1, – 1, 3), and w= (3, 2, 5). 8.…

A: