Suppose (1, 2) + (y1, y2) is defined to be (x1+ y2, x2 + y1). With the usual cx = (cx1, cx2), which of the eight conditions are not satisfied? multiplication

Q: J (x? — 4х + 4)10 dx

A: SOLUTION-

Q: 5. x₁ + x₂ -3x1 3 +2x30 X₂ - 2x3 = 2

A: According to Bartley guidelines, these are separate questions. Please ask second question…

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

A:

Q: Find the following

A: Given integral is: ∫-9t-2.5-2t-1

Q: Find x and y if: 16*+2y 32*+3y 32 and 8x-y 16*+2y 8. ||

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

A:

Q: Find the meteix A of the Lineak teansfoRmati on foom IRto IR . 2. given by x2

A:

Q: 3xy If z determine 2x - 3y

A:

Q: [2x+3y-z-5 4x+6y-2z x-4y+3z 5 10 C.

A: To find the values of x ,y and z satisfying all the equations

Q: Evaluate x +3 dx (x – 1)(x² + 25)

A:

Q: Suppose f(x) = 2x² + 6x + 2. Compute the following: A.) f( – 3) + f(1) = B.) f( – 3) – f(1) =

A:

Q: x2-y2 x2-2xy+y2 (x+y)2 (x-y)2

A: The given expression is  x2-y2x2-2xy+y2·x-y2x+y2 we know,    x-y2=x-yx-y=x2-xy-yx+y2=x2-2xy+y2…

Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: Vx+4 -2 1 limx¬0 ||

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

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: (Vx +10xdx

A:

Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

A:

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

A:

Q: x² + 6x – 1

A: We have to express  x2+6x-1 in the form (x-m)2+n.

Q: Z4×Z6 has an element of order 24. true or false ?

A:

Q: Construct the addition table for Z5. Using this table, or otherwise, determine the following x in…

A: First we find addition table for Z5. Then find values of x.

Q: 2x² + x³ 3x² + 4x-9 1² +1 Q(x) + p(x) 1²+1

A:

Q: If Q(x) = 7x³ + x and R(x) = 6x – 7x², find the following: %3D a) (Q – R)(x) =|| %3D b) (Q * R)(x)…

A: Given: Qx=7x3+x, Rx=6x-7x2 For finding Q-Rx,we substract Rx from Qx

Q: 3. Find both linear and quadratic interpolating polynomials for the points (-2,-13) , (-1,-3) ,…

A: We take given pairs of points as (x, y) x y -2 -13 -1 -3 1 -1 2 -9 3 17 We have…

Q: Given f(r, y, z) = In(x² + y? + 2²), show that af, f, s dy? %3D dx² x² + y? + 22

A: The given function is fx,y,z=lnx2+y2+z2........(1) To show: ∂2f∂x2+∂2f∂y2+∂2f∂z2=2x2+y2+z2