N = mg Ö == 6 mL mL - - (Ö sin(0) – ė² cos(0)) 2 - (N) * (µ cos(0) − sin(0)) 12 * g * cos(0) = 12g L + (3 * cos(0)) L mL μ * N = - (Ö cos(0) – 0² sin(0)) 2 Solve for mu in terms of theta, fully simplify (a lot of algebra) should get mu = function(theta)

d)let X be a fin te dimension Vectors Pace over F A and S1, S2 EX S-t SICS Show that if sese for x Szbuse Sorxoknot 2) If Sa is a base for X then siis base ofx or not! 24 Jet M be a proper subset of a linear space then M is ahyper Space if for any text&M X= = {m+at/aEF}

I am confused regarding this question. This is for the math course differential equations.

Lemmas let x--Ax, y = By where As P 0 (a) B. ( &B to then the linen system x = Ax, y = By are linearly equivalent iff Bad

No chatgpt pls will upvote Already got wrong chatgpt answer

Not use ai please

No chatgpt pls will upvote Already got wrong chatgpt answer Plz

match the equation to it's respective directional field in the image, justify your answer   a. dy/dx=x-1 b. dy/dx=1 - y^2 c. dy/dx=y^2  - x^2 d. dy/dx=1-x e. dy/dx=1-y f. dy/dx=x^2  - y^2 g. dy/dx=1+y h. dy/dx=y^2  - 1

4. The runway at the Piarco International airport has an equation of -3(x-2y) = 6. If the Priority Bus Route passes through the geometric coordinate (1,-9) and is perpendicular to the runway at the Piarco International airport. Determine the following: a. State two geometric coordinates which the runway at the Piarco International airport passes through. b. Derive the equation of the Priority Bus Route. [2 marks] [6 marks]