Q1.2 Part 1: Integral Q1.1 Response: ICGvernment of Western Australia South Metropoistan TAFE Response: S[4x5 + 3x-2-5x-¹ + 2]dx √ [(x²+6x+5) +3cos(x-4)]dx UEENEEE

Q: Find the domain of u. u (x) = 4 / square root 11- 3x

A: Find the domain of u(x)

Q: dy If y = (t + 6t + 4) (3t2 + 4), find dt dy %3D dt

A: it is required to find the derivative.

Q: S (et +3e²x) dx 2x 5+4et-e²x

A:

Q: Part d: Compute the coefficient of determination (R²) for the above model and explain what it means…

A: The question is about regression Given : SSResidual = 57.3629 SSTotal = 566.3165   To find : d )…

Q: 2x – x + 4 dx x3 + 4x

A:

Q: 4x2 4x + 20 dx x² – 5

A: Given : The integral is ∫ x3 - 4x2 -4x +20x2 - 5 dx .

Q: 3x2 dx (x-1)(x2 + x + 1)

A:

Q: dx x2 + 4x + 2

A: See the details solution in below

Q: कर 4+x2 dx

A: We have to solve the given integral.

Q: х3 (2 — х?)1?dx x3 dx 1 — 2х2 1 x²dx Vx2 + 4

A: ∫un du = un+1n+1+C ∫a2+x2 dx = xx2+a22+a22sin h-1x2+C ∫1x2+a2 dx = sin h-1xa+C

Q: 2x3 – 9x2 + 11 dx x2 – 4x + 1

A: We know, ∫dxx=lnx ∫xndx=xn+1n+1 for any real number n.

Q: 8a3u 7x3u dx

A:

Q: Evaluate 8x³16x² +5 x² - 2x 2 S dx.

A: The given integral is Formula used,

Q: evaluate using the appropriate method or combination of methods.

A: Factor the denominator

Q: x'dx √√x(1-x)

A:

Q: x-4 -dx x² – 5x +6

A:

Q: (c) SO YOUR TURN 3 [(ar²+ Find (6x² + 8x-9) dx. b R. Exam the de

A:

Q: need

A:

Q: 10,000 12. C(x) %3D 20,000 + 50х + ; х 3D 100

A: GivenC(x)= 20,000+50x+10000x   :x=100

Q: (2x3-x²+2x-2 dx -2 (х2-2х+2) х

A:

Q: (2х — 8) dx 2 х — 8х + 25 X

A:

Q: DLim (sec 2x).

A:

Q: S 3x +6 (1 + 8x + 2xzs dx

A:

Q: (x²_z)G X2_2 dx X15

A: We need to evaluate the value of the following integral I = ∫23x2-26x15dx

Q: x +3 dx x2-3x-10 3. b.

A:

Q: 2x+3 (2x² + 6x - 1)5 S 1)5 dx

A:

Q: X+2 dx Vx2 +9

A:

Q: 4 6. This rectangle of x's is of another (original) rectangle of x's. X X X X X X X X X X X X X X X…

A: The given rectangle is 45 of original rectangle which means 45 of number of X's in the original…

Q: dx √x² - 4x + 13 S

A:

Q: Shows : V9x² +25 (12) dx = 3 ln 3x + V9x² + 25 V9x² + 25 + C -

A:

Q: Paragraph 12) S, dx Sx+7

A:

Q: A variable circle passes through the point A(a, b) and touches the x-axis. Show that the locus o the…

A:

Q: 4 5x² – 2 - 2 Dx 7x3 — Зх2 + 2х

A: