ldéntities will prove useful in achie Exercise 12. Show that E, (T: – ¤) = 0 %3D | E (*: – µ)² = E (: – T) + n(i – µ)² %3D | 23D1 Hint: x; – µ = L; -i +¤ – µ

Q: x² – 16- vx2 – 16 8ln (x + %3D 112

A:

Q: Let f(x) = 3x+ 4x. Evaluate dy when x=2 and dx=0.1

A: Given that fx=3x2+4x To evaluate dy when x = 2 and dx = 0.1.

Q: d x° In x C. dx d [x3 d In x+ 3 [In x] -. 3 dx 3 dx

A: Given:

Q: Prove the following equation : Cosh(3 x) = 4 cosh³(x) – 3cosh(x)

A:

Q: Encounter the sector's area beneath the diagram of f(x) to the right of x = 12. f(x) = 1 / (x - 9)2

A:

Q: Find y as a function of t if 25y"- 70y' + 53y = 0, and y(5) = 8, y'(5) = 1. %3D y = %3D

A: Given: 25y''-70y'+53y=0  with the IVP y(5)=8 ,    and   y'(5)=1By…

Q: calculate the value of coth-1(x) when x is greater than 1

A:

Q: : la (Iseclo & 0978357) + ten(.8097 Inlisecto) +ten lo)) Inlsec L6.809 78357+ ben (-80 In %3D ln…

A:

Q: (2.x* + 5x" – 11) dx = |

A:

Q: Isn't the ln function supposed to have absolute brackets? like ln|y-1| instead of ln(y-1)?

A: Given differential equation .

Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

A: