Write y as an affine combination of the other points listed. 1 1 5 1 4 - 5 y = -29 %3D V2 V3 2 - 2 1 15 O A. y= 8v, + 2v2 - 4v3 O B. y= 2v, - 4v2 + 3v3

Q: The product of2r - 3 and x +4 can be expressed as A) 2r2 +x - 12 C). 2r2- 12. D 2r2 + 5x - 12 B)…

A:

Q: Given: (6, 0, –2) and (0, 8, 0). (6,0, –2) × (0, 8, 0) = æi + yj+ zk. Find x +y+ z.

A:

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

A: Given the vectors v=i−4j+2kw=3i+2j+k

Q: 2 (45-x) 开 (2x +30) 于 5

A: Solve for x

Q: Evaluate as indicated. If z(t)=2x2+7t-4. find z(-6) and z(3)

A: Topic:- algebra

Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

Q: he closed form for an+1 3an + n² with ao = 1. Verify your result.

A:

Q: Q5 1 Find proj; (w) where w= and v = 2 -2 3

A: Solution:Given     w=10-2     and     v=123To find:projvwFormula:projvw=P wwhere P=v vTvT v

Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: Q Find the domain of y 1- Vx + V+ 3x-x – 3

A:

Q: Find x, y, z, and w. x 8 (2x- 1) (2x - 3) 7y (w + 1) (6y + 5) X = y =

A: Given x82x-1y67y=2x-3z55w+16y+5.

Q: a Add. 1. (3x + 2) + (-4x + 3) 2. (6x + 1) + (-7x +2) 3. (-ár + 2) + (x² + -3)

A:

Q: b 11. Find the vertex of f (x) = x² – 8x + 16. Use x = 2a A. (4,0) (- 4,0) С. (0,4) D. (0, -4) B.

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Q: I is the incenter of the triangle. Al-3x+7, BI-5x-11, & CI-52-2x CI=[? ] B

A: Given query is to find indicated length.

Q: Group 2 x2 – 2r – 3 c(x) = x2 – 4x – 5 11 %3D 10 8 2. Fill the Table: 3. Graph the function: 4 3 2…

A:

Q: Find a + b, 2a + 3b, lal, and la - bl. a = i +3j - 4k, b = -3i -j + 6k a+b= 2a + 3b = |a| = |a - b|…

A: Given vectors  a = i + 3j - 4kb = -3i - j + 6k

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: Expand completely. (3z 1) ar + ba + cr+ da² + ex + ƒ %3D d = and f=

A: Given 3x-15=ax5+bx4+cx3+dx2+ex+f To do  Find the value of a, b, c ,d ,e and f in the expansion

Q: BV St P X, X2 X3 S, 8 2 2 10 Const. 32 30 40 2 8. -5-3-2

A: Given the following tableau: BV P X1 X2 X3 S1 S2 S3 const S1 0 8  2  2 1 0 0 32 S2 0 10 6 4 0…

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

A: Solution:Given    v=-i+3j+2k              w=3i-2j-kFind:(a)v×w(b)w×v(c)w×w

Q: EVALUATION A. Express each item in simplest form. 1. (-6x³y*)³ 2. (5a?xy)(b³y*)³ 12x5y* 3. 3x²y3

A: Property 1: (pq)n=pnqn Property 2: amn=amn Property 3: aman=am+n Property 4: p-k=1pk

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b2​2​​ + 3y + 5 B 8b2​2​​ + 9bb + 5y C 8b2​2​​ + 9by +…

A: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 = ?

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

A:

Q: Find a + b, 2a + 3b, lal, and la - bl. 4 a = i + 3j - 2k, b = -3i - j + 7k a + b = 2a + 3b = |a| |a…

A: We have vector a and b. Need to perform indicated vector operations.

Q: – 2d] a + 2b c If l2c + d 2a - bl 24] = find a, b, c, and

A: I

Q: Find å + B, 2å + 35, |äl, and |ä – | for å = i + 2j – 3k and b = -2ï – j + 5k.

A: solution:-a→=i→+2j→-3k→b→=-2i→-j→+5k→(1)a→+b→=i→+2j→-3k→+-2i→-j→+5k→         =1-2i→+2-1j→+-3+5k→…

Q: Find a closed form foo a, = 2 , an= an- +n+6 =D2 %3D

A:

Q: -a b Evaluate-2a +4x 2b-4y x с 2b-4y 2c +4% -Y

A:

Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

A:

Q: а. (4D + 1)(D — : с. (D — х)(D + х)

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Find the product. (2² + y) (3x² – y)

A: We need to find the product of the given expression,                 x2+y3x2-y

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.