Let u = (-1,4) and v = (-3,2) %3D %3D a. Find u – 2v b. Find u + v, and |u + v| Find the angle between u and v

Q: Given: z = x² + xy³, x = uv² +w³, y=u+vew əz Find when u = 1, v = -1, w=0 Əv

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Q: Group C QI: For Ā = x āx + y ãy + z āz and B = 3x āx + 4y ãy + 2z āz Find the following a) Č = ĀxB…

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Q: Consider the following. u = (-2, 2), v = (1, –1) (a) Find u · v. u•v = (b) Find the angle between u…

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Q: Let f(x, y) = x² – xy + y? – y. Find the directions u and the values of Duf(1, –1) for which %3D…

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Q: Let v = 3i + 6j and w = 3i + 4j. Find a number c so that w cv is perpendicular to v.

A: Two vector are given  v= 3i+6j and w= 3i +4j Now new vector w-cv is perpendicular to v then value of…

Q: u = f(x,y) and v = g(x,y) ? %3D %3D

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Q: Given u=excos(y) and v=exsin(y) calculate: ∂x , ∂y…

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A: the given statement is False the correct statement is :u × v=u v sin∅ where ∅ is the angle between u…

Q: If X and Y are independent RVs, then E(YIX) - F(Y) nd F(Y10

A: X and Y are independent then joint distribution of X and Y is  f(x,y)=f(x)f(y)

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Given f(r, y) = yln(5z+ y), find .(e, v) - 1,(2, u) = %3D

A: We have to find derivative

Q: for for w= rs ,Y=uV S=uーv, find and Jw

A: Given w=rsr2+s2, r=uv, s=u-2v To find  ∂w∂u and ∂w∂v By chain rule,…

Q: For v = - 2i - j and w = 2i + j, find the dot product v # wand the angle between v and w.

A: Given: v=-2i-jw=2i+j To Find: The dot product of v and w and angle between v and w

Q: find the Jacobian ?(x, y)?(u, v) for the indicated change of variables. x = uv, y = u + v

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Q: alculate the given quantity if u =i+j - 4k v = 5i – 4j + k w =j - 3k. (a) 2u + 3v (b) Jul (c) u. v…

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Q: Consider the following. u = (-5, 5), v = (1, –1) (a) Find u · v. u v = (b) Find the angle between u…

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Q: Find u x v, v x u, and v X V. u=i-j, v=j-k

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Q: Consider the following. u = (-5, 5), v = (1, –1) (a) Find u · V. u V = (b) Find the angle between u…

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Q: du If u = x²y³ + z* where x = p+ 3p², y = peP, and z = p sin(p), find dp

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Q: If A and B are independent and the P(A|B) = 0.4 and P(B) = 0.7. %3D %3D Find the P(A u B).

A: Given data,P(A|B)=0.4P(Bc)=0.7IF A & B are independent eventsP(A∪B)=?

Q: U + 2ru, =0 IER, t> 0, u(x,0) =e=.

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: A = (C = { z = x+yi : x, y E R, i² = -1},+), (a+bi)+(c+di) = (a+c)+(b+d)i • B = iR = { iy : y E R }

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Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

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Q: if x? + y? = 4 then prove that = d'y dx %3D

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Q: , find the Jacobian ?(x, y)?(u, v) for the indicated change of variables x = uv − 2u, y = uv

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Q: xa, + ya, + za, Let A show that V XA = 0. %3D (x² + y² +

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Q: Find u x v, v x u, and v x v. u = 3i + 7k v = 5i + 9j – 3k. (a) u x v (b) V Xu (c) V X V

A: Given query is to find indicated cross product.

Q: 2. Let u = (1, 3), and let v = (-6, 2). (a) Find u - 3v. (b) Find u + v|. (c) Find u v. (d) Are u…

A: u=1, 3v=-6, 2

Q: Find (∂z)/(∂s) and (∂z)/(∂t), given: (c) z = x2 + 2y2 ; x = es - et, y = es + et

A: Formula to find the partial derivatives helps to find the partial derivatives of the function with…

Q: Calculate the given quantity if u =i+j- 4k v = 5i - 2j + k w j- 3k. (a) 2u + 3v (b) Ju| (c) u. V (d)…

A: u=11-4,  v=5-21,  w=01-3 . 2u+3v=211-4+35-21 2u+3v=22-8+15-63 2u+3v=17-4-5 2u+3v=17i-4j-5k

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: If z = u sin(u?) and u = Vt, find ) If z = x² + y², x = u+ v² and y = u² – v, find and

A: Given: (a) z = u sin ( u2 )  (b) z = x2 + y2  , x and y values given

Q: Find u x v, v × u, and v × v. u = 6i + 8k v = 3i + 8j – 4k. (a) u x V (b) (c)

A: This question is based on cross product.

Q: p ry*dx + x*dy, where C is the rectangle with vertices (0,0), (1,0), (1,5), and (0,5) Evaluate

A: We will convert this line integral to surface integral using greens theorem

Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

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Q: d) If U = X + Y and V = Y – X, find i) The Jacobian value of U and V J(U,V)

A: Solution

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given u=9, θu=0° v=2, θv=60°

Q: If S = {a, b, c} with P(a) = P(b) and P(c) = 0.32, find P(a). %3D %3D P(a) Additional Materials…

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Q: Given u = i- j, and v = j+ k, determine the magnidue of u +v and - 2v.

A: By sum of two vectors we have  u+v=(i-j)+(j+k) u+v=i+k -2v=-2(j+k)=-2j-2k

Q: Let v=i+6j and w=i+3j. Find an exact number c so that w−cv is perpendicular to v.

A: The given vectors are    v = i + 6j w =  i + 3j

Q: Consider the following. u = i+ V53, v = -V5i+j (a) Find u • v. u v = (b) Find the angle between u…

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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, 24) V = a = b =

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Q: Make all obvious simplifications.

A: As per guidelines we have to solve 3 subparts

Q: (c) u V (d) u x v -7i – 21j – 7k (e) |v x w| V 275 (f) u (v x w) the angle between u and v (rounded…

A: Use dot and cross products

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = – 2tj %3D

A: 1st derivative, 2nd derivative, dot product and cross product are evaluated.

Q: Let F = (x + y) exp(x), x = ln(u), and y = v. Find Your answer should be in terms of , y, U, and v.…

A: We have to find partial derivative

Q: Qe Find the IF Ā=2i -10j - k , B=2i+2j+ k and ÀxB , CAXB) Ã angle between them B = 2i +2j+ k

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Q: aw Find ди dw. and if w = x³ + In (-) + y, x = u? dv -+ 5 and %3D wwww y = 3v + 5u and point…

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Q: Let u = 4i + 7j and v = 7i − j. (b) Find the component of u along v. (c) Find projvu.

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