2 In R show that 2 2 2 @ 2 11 × 11 ²2 + 2 ||1y|11² = 11 × x + yll ² + 11 × -yll ² (Parollelogrom Lou ). _b.) 11 = ~ yll 11 x + yll ≤ 11+ 11 ²2 +11 11² 2 (.) 4(x, y) = 11x +y|1²³ - 11 x-y11² (this is called the polarization identity.

Q: 1) Use the Substitution Method to find f 12x (3x² + 4) dx . O 20(3x^2+4)^10 +C O 0.2(3x^2+4)^10 +C…

A: The given integral is 12x(3x2+4)9.

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: d²y 54. Let y = 4r+2r+l_find CL)

A: To find the double derivative of below expression.

Q: 2y4-6x3 +|1x=-37x-16 dx X3 - 3x2+5x-I5 2x

A:

Q: Is Q closed over multiplication? (Y/N)

A:

Q: write an equatun q the une passes through (4.5, -li6) and' is per pendiaular to he wie dyfined by 5x…

A:

Q: f) = Vx?+4x+4 9=3 Find (f") (@)

A:

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

A:

Q: sWhat are the points of discontinuity? (x+1Xx-5) y3D *+4x+3 Ox-3, x--1 Ox--3, x=-1 Ox=5 Ox=5,x=-1

A:

Q: 2. Given that f is a differentiable function with f'(3) = -5, find g'(1) where g(x) = f(4x-x²)

A: The given function is,

Q: What is the midpoint between z1 = 9i and z2 = 4? (2, 4.5) (-4,-9) (-2,-4.5) (4, 9)

A:

Q: 1(会) %3D Evaluate. Assume u > 0 when In u appears. 9) [x8x9 - 4)4 dx 16x37 16x 15624 256) dv 26 16x…

A:

Q: Let R be the region bounded by the curves y Use the cylindrical shells method to compute the volume…

A: