2011- 2) Let T C T-¹(a+bx+cx² + dx³) = = 2a +(-2) b + 1c + (-1)d + (-7a+ 0b + 1c +(-3) d) x + (2a + 0b + 0c + 1d) x² + (la + 1b+ (-1) c + 1d) x³ and ii) T-¹ (T i) T(T-¹(a+bx+cx² + dx³)) = b la + 1b+2c + 2d 2a + 3b + 6c+5d la + 2b + 5c + 2d -2a + (-2) b + (-3) c + (-4) d iii) T or F: These two transformations are inverses of one another:

Q: 3) 3x3-x2+18X-6 (3x-x3)+ (1BX-)

A: From first two terms factor out x^2 From last two terms factor out 6

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: S(15 ) for 3 + 3x+ 3x^2+....

A: First indentify the sequence than use the formula for its summation.

Q: (2x* + 5x3 + 5x? + 10х + 8) + (x +2)

A:

Q: Compute -(-x - 3x²-x). ď² da²

A:

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

A: Consider the equation  4(x+1) = 3x-28

Q: Calculate B(5,2) if B (a,r) = 2ar+r^3

A: I have to calculate B(5,2) It is given that B(a,r) = 2ar+r3

Q: divide ex 1: (16p3+8p2+5p)+4p ex2: (5ox2+15x-35)+(1ox-7) ex3: (10x3+25x2+30x+10)+(10x+5)…

A: 1.) (16p3+8p2+5p) + 4p = 16p3+8p2+(5+4)p = 16p3+8p2+9p   2.) (5ox2+15x-35)+(1ox-7) = 50x2+(15+10)x…

Q: (x*+ ラx*-x+3)=(*+ィス)

A:

Q: 1/(6x - 1) = 2/(12x - 2)

A:

Q: 5x/ x2-x-12 - 2x-1 / x2-3x-4

A:

Q: 7(3x+6)=11-(x+2)

A: Given an algebraic equation. We shall solve the equation for x.

Q: ((x-1/4y-1)-3)/ (x5/4y0)

A:

Q: 1 х°— х5 +2х? — 3 dx -1

A: topic - definite integral note : As per bartleby guidelines, we are supposed to answer only first…

Q: 5 + 4x + 3 ) dx Find x4 + C

A: ∫(4x+5x4+3)dxApply linearity:4∫x dx+5∫1x4dx+3∫1 dx

Q: 5 / x + 3 - 4 / x - 3 = 2x / x2 - 9

A:

Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

A:

Q: 1/6a+1/4=1/2a-3/4

A: 16a+14=12a-34

Q: 5) (4x3 – 7x) (2x - 1)

A: Simplify Taking x common

Q: 7x-2(3-2x) = 7x-2(3)-2(2x)  = 7x-6-4x = 3x-6

A: The expression 7x - 2(3-2x).

Q: 4(x+4)=3+4x

A: The given equation is

Q: 8(c-3d)-(3c+d)

A: The given expression is