Find the state-space form of the following mathematical model x₁ +2(x₁ - x3)-2(x₂ − x₂ ) - ² (x₂-x₁) = ƒ (1) x₂ + 2(x₂ − x₂) + ²/(x₂-x₁) = 0 X3-2(x₁ - x3)=0 outputs are x₂ and x₂.

Q: Find two functions f(x) and g(x) so that h(x) = (f og)(x) a) h(x) = (2x +3)².

A:

Q: (2) Find the derivatives of the given functions. 12 (a) h(w) = 3w? + w2 0- 1 (b) y% = (c) AP if V…

A:

Q: a) If g(x) = 2x + 10 and h(x) = 3x - 2, 3 Find: - g[h(x)] = and express in its simplest form b) If…

A: Since in the given question in part (b) you asked for g inverse but there is a function f so, we…

Q: 1 (g) √ F+x(a+b)+abdx

A: To evaluate the following integral.

Q: What is the end behavior for this equation? f (x) = (x+3)² + 1 O As xxx, f(x) →→→→∞, and as a →→→→∞,…

A:

Q: (5 + y)(4 + y) = (6x + 2y – 4) + (2x + 2y + 10) = (x – 3)(x + 3) =

A:

Q: Let fi (2) = - 5x – 5, f2(x) = – 6x² – 8x – 3, f3(x) = 2a² + 10x + 3, and fa(x) = 2x – 9. Find a…

A:

Q: -2 if x 2 Find h (-4), h (1), and h (2).

A: GIVEN : h(x)={  -2                             if x<-2  -(x+1)2 +1            if -2≤x<2  -14x…

Q: If h(x) = x² + 2 then h*(11) + h(-4) is

A: We have to find the value

Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

A:

Q: As x→4, k(x)→ As x→−10, k(x)→

A: Given a graph for various values of x and y. We need to find: As x→4, k(x)→ As x→−10, k(x)→

Q: *29 y-5=m(k-iD= 0(x-1) =O y-5=0 y=5

A:

Q: Let f(x) = x - x- 4 and g(x) = 2x - 6. Find (g-f(x). %3D (g-D(x) = - x² +3x - 2 (g -(x) = x2 - 3x –…

A:

Q: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

A:

Q: (х? + 2у — 10у3х) if z у? (у? + 4х + 5у) dz -, find || дх

A: Given:

Q: What is the end behavior for this equation? f (x) = - (x+3)² +1 As x-∞, f (x) →→→→→∞, and as →→→∞, f…

A:

Q: y(x)=(x+1)2(x+2)3(x+3)4,x>−1.

A:

Q: 3. S(x)-x-12x +35x 4. (x)-3 -21x-54x Multiplicity Multiplicity Effect Zero Effect Zero

A: f(x)=x3-12x2+35xf(x)=xx2-12x+35f(x)=x(x2-7x-5x+35)f(x)=x(x-7)(x-5)zeros are;f(x)=00=x1 (x-7)1 (x-5)1…

Q: Identify the y-intercept of the graph of 6(x - 1) R(x) = (x + 1) (x + 2)* (а) -3 (b) -2 (с) —1 (d) 1

A: To identify: The y-intercept of the graph R(x)=6x-1x+1x+2. Concept used: The y-intercept is the…

Q: Convert f(x) = x² + 8x - 4 to vertex form O f(x) = (x+4)² - 20 O f(x) = (x-8)² - 4 O f(x) = (x+8)² -…

A:

Q: If f (x) = 5x2 2a + 7 and g (a) = -2x2 + 6x + 3, then f (x) - g (x) = %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Let S(x) = (3x - 3-x)/2 1/2 and C(x) = (3x + 3-x)/2. Compute [C(x)]² - [S(x)]². [C(x)]² - [S(x)]² =…

A:

Q: (z)6 x) = x2 – 3x - 4, g (x) = 2x² + 5x + 2 and h (x) = 2x2 – 5x – 3.

A:

Q: f(0)=2 and f(n+1)=3f(n)-1. Find f(4)

A: To find f (4), obtain f (0), f (1) and f (2) as follows.

Q: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

A:

Q: Solve MXVN at (1,1-1) When M = (2yz)i – (x²y)j + (xz²)k and N = 2x²yz³ Show the graph after it.

A:

Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

A:

Q: h(x)= 3x+5 j(x)=-2, I-3 What is h(x)/j(x)? What is the domain?

A:

Q: Write in factored form. Determine the x-intercepts. y = x². - 1

A:

Q: Find C so that y(x)=C(1-x2) a.  y(2)=1 b.  y(1)=2

A: To find the value of C so that y(x)=C(1-x2)...(1) with the given initial conditions.