perform the indicated calculations 2([3, l, 1,2] + [3, 3, 2, l])in Z44and Z45

Q: Show that: If |z| = 1, then: z' + 4z + 5 z2 + 5z + 6

A: Given: z=1 Then show that: z3+4z+5z2+5z+6≤5

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

A:

Q: 7. Remwrite the..either.five.exated.nt.agrmls. 1-X FCX ng , Z)dydzdx ZA z= 1-x2 ...... y=1-メ

A:

Q: If =x+3y-z,=4xyz, w=22 -xy evabuate d(u, v,w)/ (, 2). at (1-,0).

A: We have to first find all partial derivatives.

Q: Show that 1/2 ( Tn + Mn ) = T 2n

A:

Q: For the numbers 12, 13, 15, 17, 20 Compute: SX   SX2   (SX) 2

A: Given data is12, 13, 15, 17 , 20

Q: what is the center of {0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26}? 0.4 0.1 0.3 0.2

A: Given Data: Given Set of Numbers: {0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26} Arrange the numbers of the…

Q: 1. Find the 5roots of z1 = -V3+iv3. %3D

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: Compute A - 31z and (313 )A, where A =

A: Given,       A=5-14-44-6-321

Q: Compute Re if z₁ = 5√√2 + 2√3i, and z2 = 3√√√2-5√3i 2

A:

Q: Prove that S4 = ((1 2 3 4) , (1 2 4 3) ). %3D

A: As you asked for question number 8 , and hence here it is.

Q: W ZYOZ & ZWOY are complementary MZWOY = 19x - 26 MZYOZ = 10x %3D Find the following: MZWOY = MZWOZ =…

A: Please refer to the image below

Q: How did they calculate what T does to the elements of B?

A: You want to know "How did they calculate what T does to the elements of B?" We have  B=1, x, x2, x3…

Q: Express the following as a linear combination of u =(3, 1, 7), v = (1, -1, 4) and w= (18, 7, 8).…

A:

Q: 9(r, t, г) — 5r(7 — сos(t)) — 82

A: We have to do partial differential here.

Q: Suppose that (Q x Q, +,.) is a ficld where (x, y) + (z,w) (x+z,y + w) and (x, y). (z, w) (xz +2yw,…

A: I have find identity of the field and then inverse

Q: 2. Show that div r = 3 %3D

A:

Q: 2. Solve the given SLE using LU-Factorization X- X, +4x, = 4 2x, +3x,-5x, = 0 .

A: x1+x2+x3=3x1-x2+4x3=42x1+3x2-5x3=01111-1423-5x1x2x3=340Now, A=1111-1423-5, x=x1x2x3,  B=340

Q: Solve the following IBVP: 0 0, u(x,0) = 2 – 2x2, u(x,0) = 0, 0 0, %3D %3!

A:

Q: Compute In(z) dr.

A:

Q: let (X, Z) %3. üit piece wise comnected ?

A:

Q: Express the following as a linear combination of u = (3, 1, 5), v = (1, -1, 4) and w (5, 7, 6). (14,…

A: Answer

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

A:

Q: find z trans foyms of folleing -an simwn ĭ

A:

Q: Solve the following IBVP: Utt = 4uzz 0 0, u, (0, t) = u,(27, t) = 0, t>0, u(x,0) = 0, 0<I< 2n, T.…

A:

Q: Find , zdxdydz on [0,1] × [0,2] ×x [0,3]

A:

Q: Find mZRSQ. S 102° R

A: to find:- angle RSQ.

Q: Compute [GL2 (R): SL₂(R)].

A: To find: The value of GL2ℝ : SL2ℝ .

Q: find A1 ∩B1 , GIVEN THAT                                             U= {x ∈ z/ - 7}    A= {x ∈ Z+…

A:

Q: If z=x2sinh 4 then 02z дхду

A: Explanation of the answer is as follows

Q: Consider a LU factorization of -2 1 3 A = 1 4 -2 -5 as A=LU. Then L2,1 and U1,1 are respectively…

A:

Q: Evaluate S"2 in (cscr) Szye-2dzdydx

A: Suppose a multi variable function f(x,y,z) . To evaluate the integral notice the below result :

Q: It is possible to regress x1 on y. a. True b. Falas

A: From the given dataset we have to check that , is it possible to regress X1 on Y1  or not.

Q: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

A:

Q: T = (2,4) j= (5, 8, 10) %3D ΣΣυ-) =? ji 2.

A: ∑i∑jyj-xi=5-2+8-2+10-2+5-4+8-4+10-4                        =28

Q: For the numbers 1, 2, 4, 6, 8 Compute:  SX   SX2   (SX) 2

A: Given data is1, 2, 4, 6, 8

Q: Find the Duf of S(x,y,z) = 3xvy+4xz² from Po(2,1,1) to P(4,7,2) %3D

A:

Q: Find the maaimum and miniryem Valiaes of e feencteon Cif exits) feny) Luž-3ary

A:

Q: Consider a LU factorization of 3 A = 6 as A=LU. Then L2,1 and U1,1 are respectively equal to

A: solution:-

Q: 10. If mLTSV = (6x + 17) and mSV = (15x + 13)", find mSUV. %3D T

A: Property used is (11) An exterior angle of a triangle is equal to the sum of the opposite interior…

Q: Show that  1/3 Tn + 2/3Mn ) = S2n.

A: By definition, Tn=12∆xfx0+2fx1+....+2fxn-1+fxnMn=∆xfx1+fx2+.....+fxn-1+fxn…

Q: fx, x, (*1 *2) = 16 1X¡l < 4, 2 < X2 < 4 are independent and orthogonal.

A:

Q: Given: 2x' y°z ' + 5x°y*z8 7,53 6,48 f (х, у, 2) Required: fzyx » fxzz

A:

Q: List the sides of AFGH in order from least to greates if mZF=(5x+6)°, mZG=(12x-4)°, and m…

A: Consider the following △FGH: m∠F=5x+6°m∠G=12x-4°m∠H=4x+31° Sum of all angles of triangle is 180°.…

Q: Consider a LU factorization of 3 A = as A=LU. Then L2,1 and U1,1

A: We have to find values given in the question from the matrix.

Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

A:

Q: Find the solition set of 3(2x+2)-28(3x)+3=0

A:

Q: Prove the following:  if x^2 = y^2, then x = y or x = -y.

A: Subtract y^2 from both sides.

Q: дх and if ry + y2³ + zr' = 7 ду дх Find дт

A: We have to find the partial derivatives w.r.t x and y.

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.