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

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

A: It is vector problem.

Q: Let W(x) = W[y,, y2, Y3] , where 11 V1, Y2, Y3} are solutions to y"+3x y' -4y 0. Then W" =3 W.…

A:

Q: The values of C, and C2 so that y(x) = C, e²x + C, e-2* satisfies the following conditions: y(0) = 1…

A:

Q: ди ди ди for u = az Find p-q if p= x+ y+ z ,q = x + y + z ,r = = (V3,2,1). and ax' əy 9-r x + y - z…

A: Q3. Given that                                            u=p-qq-rp=x+y+zq=x+y+zr=x+y-zPoint, (x, y,…

Q: Find (a) u x v, (b) v x u, and (c) v x v.

A:

Q: If z = x + iy, z/3 – a – ib and * = 2 (a' -b'), then a is equal а b y to

A:

Q: 4 Given F(r, s,t) = r (7sª + 7t°), compute: Frst

A: We are given, F(r,s,t)=r(7s4+7t5)⇒F=7rs4+7rt5⇒Ft=0+7r(5)t4( Partial derivative with respect to…

Q: (b) If V'u =0 for x2 0 and if u f(y) on x=0, Show that ,y): +(y-5)

A:

Q: If w= Xze' y=va²–x² , z=Sirx, then ( dw is

A: we will derivative by using chain rule

Q: Find all values of n such that y = xn satisfies…

A:

Q: Given M = {(x, y), 1 < x² + y² < 4}c R². (a) Determine dM and aM. (b) Is M connected? Pathwise…

A: See the attachment

Q: Show that S is a basis for V = span(S).

A: We are given,  We need to show that S is a basis for V = span(S). In other words, we need to show…

Q: 1. Let u = 2î + j- 2k, v = 12î – 4f + 3k and w = 4f + x?k c. Find x such that u and w are…

A: u = 2î + j- 2k, v = 12î – 4f + 3k and w = 4f + x?k

Q: If r(t) = (e³t, e-4t, t), find r'(0), T(0), r"(0), and r'(0) x r"(0). r'(0) = II T(0) = r"(0) =…

A:

Q: If ||u|| = 2, ||v|| =√3 , and u x v = 1, find ||u + v||.

A: Given that u=2,   v=3   and  u*v=1. This implies that,

Q: дz For z = x² + xy³ ; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 Əw

A: z=x2xy3, x=uv2+w2, y=u+ve2at u=2, v=1 and w=0, x=2×12+0=2y=2+1e0=2

Q: If p (E1) = 0.3, p (E2) = 0.4 p(E1/E2)=0.5 so p(E1 cross E2)= 0.2 0.15 0.12 0.7 %3D %3D

A: Given, pE1=0.3pE2=0.4pE1E2=0.5

Q: Find the uncertainty in U, assuming that X = 10.0 ± 0.5, Y = 5.0 ± 0.1, and a) U = XY² b) U = X² +…

A:

Q: Suppose E(X) = 2, V(X) = 4, E(Y) = 6, V (Y) = 8, and E(XY)= 10. (1) E(X +Y) (2) V(2X +3Y) (3) V (2X…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: aw b- if w = x + 2y + z2, x , y r2 + Ins and z = 2r , find the value of ar .rk)

A: We will solve the following

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: Hewin If Z =R Cxxy]:and u=x-yg V=x²-y 그를 + show that

A:

Q: If u = eª₁x+₂y+a, where a₁, a2, a3 are constants and 2² u J² u 2² u + = U. a² + a² + a² = 1. Show…

A:

Q: If z = x + iy, where x and y are positive, then z = a + ibhas a and b positive. ... A) True B False

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: If S 3D [x|0 <x<12}, М 3 [x| 1 <х < 9}, and N %3D (x | О <x< 5}, find а. MuN b. M N N c. M' N N'

A:

Q: If u = f(y + ax) + (y-ax), then to №² u №² u (a) a² (b) dy² 2 Əy² 2 (c) - a². (d) a №²u น 2 Əy² №² u…

A:

Q: f({x, y))) for all c e R and all (x, y) E R?

A:

Q: Obtain (i) P (X 1)

A:

Q: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). w + u = −v

A: Let's consider w = (a, b, c, d) So w + u = (a, b, c, d) + (1, -1, 0, 1) = (a + 1, b - 1, c, d + 1)

Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: If f(u) : f'(u) = V13 + w'dw then

A: Let,

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

A:

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

A: Given , u=1,-1,0,1v=0,2,3,-1and 3 w=u-2v

Q: If u = f(x), then S k dx = +C for some constant k. Compute kf(1). %3D x*+2x2+1 x2+1 4 -1

A: u=f(x)f(x)=xx2+2I=∫ xx4+2x2+1 dxI=∫ x dx(x2+1)2u=x2+1du = 2x dxx dx =du2

Q: why. . If C is 6 × 6 and the equation Cx = v is consistent for every v in R', is it possible that…

A: As you asked to do only question number 18 of the page 2.3 , I do that for you.     Let us do…

Q: EX: Find the Z. T. of X(X) = cas wok u(k) Soin

A: Z transform of the function

Q: Given DE Cauchy-Euler xy +2y= Inx, x>0 what is the particular solution?? I. II. IV. Select one: O a.…

A: a. Given equation is  x2y''+2y=lnx Let x=et. Then differentiating w.r.t x,  etdtdx=1dtdx=e-t Now,…

Q: 2. Given V = x + y' av a) Find and b) Hence, show that y ( - ) = v. = V. ду

A:

Q: 4. Prove that (À × B) · (B x T) × (T x A) = [ABT)

A: The objective is to prove that

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3x + 2u − v + 2w = 0

A: The given vectors are Let the vector x be

Q: Prove that if v>-1/2 H₂ {xv-1 e-ax; p} = L{xº J₁ (px); a} = 2Upr (v + 1/2) √√ (a² + p²)+1/2

A:

Q: a) W(2) = %3D b) W (10) = %3D c) If w(t) = 12, then what is t? and

A:

Q: Given (x)=x + 3 and v(x)=9xr - 4, find u +v O 8x +7 9x-3 Ox-4 O 10x-1 O4x + 2

A: ux=x+3and vx=9x-4We need to find u+v

Q: (a) Vx €R, if x=-1, then x--I (b) 3x €Za vy e Z. (x+y)= (c) Vm, Vn € Z, if m+n is even, then m is…

A: Given:- a) ∀x∈R , if x2=-1,then x4=-1 b)∃x∈z∋∀y∈z(x+ y)5=x5+y5 c)∀m,∀n∈z , if m+ n is even, then m…

Q: If f(x, y, z) = In(2 + x² – 2y² – 3z), 7 =, then Duf(2, –1, 1) = - A) * V3 B) 11 C) V3 D) E)

A: The given function is:    f(x,y,z)=ln2+x2-2y2-3z

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = 2i + k, v = i + 3k

A: Given that, the two vectors u = 2i + k, v = i + 3k To find the following (a) u × v, (b) v × u, and…