Use the block-walking argument to show that 2 2 2 2n ()' + ()² + + () ² - (²) (22).

Q: Verify the following statements is false by finding a counterexample. √ x^2 + 16 = x + 4

A: Verify the following statements is false by finding a counterexample. √ x^2 + 16 = x + 4

Q: Evaluate lim,→1 ( 고-교) 2 x-1 x² –1.

A: Given that,limx→ 11x-1-2x2-1

Q: Select all expressions that could be equivalent to bis negative x²+ bx-36 where a) (x+3) (x-12) b)…

A:

Q: Evaluate ak+2 if ap

A:

Q: Expand (* + 2)x-2)- (x-2) O a x - 4 O b x -x- 6 x - 2x - 4x+ 8 x -x- 2 x - x O c e

A: The given function is x+2x-2-x-2.

Q: Suppose [V] B₁ [V] B₂ = 7 1 3 -[-]-* *, - {{; } [³])} and B₂ - {[²][³])}; [ 2 ] = find B₂ = If B₁ =…

A:

Q: [-27-2j+3w]-[-67-5j- 3w] + + W

A: To Compute: -2i→-2j→+3w→--6i→-5j→-3w→

Q: 2x(3x-1) +8x-4(2r + 1)

A: on simplifying we get option C is true

Q: 3 [(18 – 22) - (22)] dr -3

A: definite integration

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: Compute: [2 1 0 5 - ] [ ] -5 ܗ

A:

Q: (8a in simplest form.

A: 8a-3-23To write in simplest form

Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

A:

Q: Use the substitution u = √x+9 to evaluate =(√x +9) * +c ² / (√x +9) ²¹ +C 1 / (√x +9) ²+ + C =(√x+9)…

A: By using substitution u=x+9 to evaluate ∫x+93x dx.

Q: Prove that the expression 2y2 - 128 is equal to 2(x2+2) (x² – 2) (x³ + 4x* + 16).

A:

Q: x(3-5х) J - (3x-1)(х-1)* # 2) Evaluate: -dx-

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Q: /- dr r(r + 10r + 25)

A:

Q: Evaluate / Vx2x/x +1 dx: /2x/x + I dx: 3 (2x + 1) + C 중 금(2xi + 1)' + C + 1) + C 5 (2x3 + 1) +C

A:

Q: How do we know that -1 and -2 will be in the field?

A: Given F is field, So,  0, 1∈F ( since a field F must contain zero element and unity ) A field is…

Q: 3(x+5, =ax-5

A:

Q: ニx%(f09))= 3メと4 ノ9メ)=3メ4\ Find fox=? (fos))=3X+\+3中f=メ+3

A: Applying properties of composition

Q: 3 4) [3x² - 4x+2dx

A:

Q: 2r2 + 2r + 11 dr 2r +3)(x² + 4)'

A:

Q: -2 +x2 x2 +x3 x3 +x4 -1 +x4 -8 +s x3 || ||

A: The given system of the equation can be written in the matrix form as below.…

Q: 2.x2 + 2x + 9 dr J (x – 2)(x² + 4x + 9)

A:

Q: Find two First terms whose product is ax?: (Ox + )Cx + ) = ax? + bx + c.

A: Given: x+   x+   =ax2+bx+c, To find: Two first terms whose product is ax2.

Q: a. 42(x- 2)= 32*-2

A:

Q: find the 6th term of (4h-j)8

A: formula used is   tr+1=Crn(a)n-r(b)r  for  (4h-j)8, a=4h ,b=-j and n=8