1. Show that if we have on the same line OA + OB + OC = 0 PQ + PR + PS = 0 then AQ + BR + CS = 30P

Q: Solve for x, y and z x + 2y - z = 0 2x + 3y - 2z = 3 -x - 4y + 3z = - 2

A: x+2y-z=0            i2x+3y-2y=3        ii-x-4y+3z=-2    iiii+iii-2y+2z=-2⇒-y+z=-1…

Q: 1. A team of Aggie engineers are testing a solar car over long distances. The table below lists the…

A: Given that: A team of Aggie engineers are testing a solar car over long distances.The table below…

Q: 3) Find x if IS = x and IQ = 2x – 5 S. R

A: given,     IS=x , IQ=2x-5

Q: 1) Linearize: 3x arourd 天=l %3D

A:

Q: Solve the equation Ax = b by using the LU factorization given for A. - 6 4 0 0 4 -6 4 6 A = - 12 16…

A: Ans _ A=4−64−1216−78−104=100−3102−114−640−25001 and b=6−82Let l y = b100−3102−11y1y2y3=6−82y1=6 —…

Q: 4) In AJKL, JK = KL. Ifl J= 4x-8 and L L= 3x + 15, find m2J and ml L. K.

A: Given :JK ≅ KL∠J = 4x-8∠L = 3x+15

Q: 1 = c, then in terms of a and c find x and y If -y a and 2x+ 112

A: *to find:- value of x & y.

Q: If x2 y? z=54, xy? z²=36, x² yz?=4, x² yz?=4, then find X+y+z.

A:

Q: 2\ Find: Tyy (2) Tz 3 Tzz

A: As per our guidelines we need to solve only three subparts. Please repost the remaining subparts as…

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: For the function f(x,y,z) = 4 + 5xy¹ − 32³, find fx, fy, and f₂. fx=0

A: Given function, f(x,y,z) = 4+5xy4-3z5   To be found - fx, fy, fz

Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

A:

Q: 2x + 2y + z = 16 x + z = 34 y − 3z = 34

A:

Q: 2.

A:

Q: If det (AB²) = 24 and det(AB) = 8, what is det (BT) equal to?

A: Note that, det(AB)=det(A)×det(B)

Q: tim D1R (++)) + om 1 Im te i ned d

A: limn→∞((n1+n)α+sin(1n)),foralln∈Qnow ,We recall some…

Q: 10. Find x and y, given that (x² + y²,4) = (25, x).

A: When the Cartesian product is performed between two sets, as a result, an ordered pair is obtained.…

Q: If the Equation Hx = c is inconsistent for some c in Rn, what can you say about the equation Hx = 0?…

A:

Q: Given the following matrices A and B, find elementary matrices E and F such that B = FEA: You can…

A:

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: Is the ordered pair (4, 7) a solution to which equation O 3x + 4y = 4 O 3x = -4y+ 4 O y = 3/4x + 4…

A:

Q: Consider the two following graphs and answer the following questions. a) Are G and H isomorphic?…

A: The graphs given are as follows:

Q: 8. Find YZ. 1 +1 19-31

A: Given: WXYZ is a parallelogram. And WX=11x+1YZ=19x-31

Q: Find J2z Әх у of z = x3 + 5x² у + 6

A:

Q: Question2. Yn+3-4Yn+2 +5yn+1-2y = 2" linear difference equation is given. Find the general solution…

A: Given difference equation is ,         yn+3-4yn+2+5yn+1-2yn=2n And solution is given by ,…

Q: Set X = x 0 1 Y where x, y are unkonwns. Solve the equation X² = 10

A: given and

Q: 7. х — 4у + 4х — у+ 2z %3D —1 2х + 2у — 3z %3D - 20 z = 6.

A: solution:-using substitution methodx-4y+z=6 ......(1)z=6-x+4y4x-y+2z=-1 ......(2)2x+2y-3z=-20…

Q: 24. Find the first approximate solutions for -2x? + 4x + 2 = 0.

A:

Q: 11T 60. Given that sec 12 13T V2 - V6, determine the value of sec 12

A:

Q: Write out the following sets by listing their elements between braces.

A: Given data:   d) The given first set is: Ø=({1,2}). The given second set is: Ø=({a,b}).     The…

Q: Find the pro ection of v on the line with equation

A:

Q: If find az/au and az/av. дz/?u = Əz/dv= z = xe", x=u³v³, y=u³+v³₂ (In your answers, do not rewrite…

A: z=xeyx=u3-v3y=u3+v3from chain rule ∂z∂u=∂z∂x×∂x∂u+∂z∂y×∂y∂u

Q: Now, let dR = aR+ bJ dt dJ cR + dJ %3D dt How would you describe the relationship between Romeo and…

A:

Q: Suppose three similar geometric figures are constructed off the three sides of a right triangle in…

A: Consider a right triangle with the length of the altitude a, the length of the base b and the length…

Q: 2. 조우 X*-xy y-3 Find van d

A: