1. Obtain Pole, zero, gain values of the transfer functions given below. Also verify your result theoretically 1 A. G(s) = s2+s+4 B. G(s) %3D s2+9 1 C. G(s) (s2+3s+5)(s+3)(s+5)

Q: Graph the Heaviside function 2(H (t+4) – H (t-1)) + (H(t-3) –H(t-6))

A: The Heaviside function is very significant in studying real valued function. The range of Heaviside…

Q: Let g(t) -t+ Vt and h(t) = 9t + 4. Find the following. %3D g(h(5)) = h(g(4)) - eSC 14

A:

Q: give the transformation of the base function f(x) = x^2, that would produce the following functions:…

A: give the transformation of the base function f(x) = x^2, that would produce the following functions:

Q: Let X b(n,-) and E(x) = E(2– 6x) find n.

A:

Q: 6. Ten-year-old Kayla's lemonade stand has experienced rises and falls in sales caused by…

A: a) To determine the number of days Kayla made a profit, we need to find the values of x (number of…

Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

A:

Q: f(x)=4x+3    Evalute and simplfy the following (round to 2 decimal places if necessary)…

A: Given,            fx=4x+3To find : Evalute and simplfy the following                 fx+h-fxh

Q: Decompose the function y = V2x3 – 4 in the form y = f(u) and u = g(x) . (Use g(x) = 2x³ – 4) Provide…

A:

Q: Subtract f(x). f(x + h) – f(x) = (4x² + 8xh + 4h² + 3x + 3h – 2) – (4x² + 3x – 2) = 4x2 - x² + 3x -…

A: We can simplify the following expression : f(x+h)-f(x) = 4x2+8xh+4h2+3x+3h-2 - 4x2+3x-2

Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x – 5. (4 points each) %3D 8. Find (f +g)(2) 9. Find (fg)(3)

A: Given-  f (x) =  x² + 4 g (x) =  2x - 5

Q: Find the inverse Laplace transforms of the following functions: 1 (a) (s − 3)² (s² − 6s +13) 3s + 2…

A:

Q: Given y = f(x), if f(2)= -3 f(4) = 5 f-¹(-7)=2 Decide if f(x) is invertible. Give a clear…

A:

Q: Anna and Bob are the only residents of a small town. The town currently funds its fire department…

A: Ans:

Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: Linear Function: g0) = 4x-2 a. What is the domain of f0) and g(x) ? b. What is the înitial value of…

A: Given function is g(x)=4x-2

Q: The profit function of a company is P(x) = 100x² – 13200x + 435600 then the break-even point is %3D…

A: Break even point is the point at which the total cost or investment of the company on a product…

Q: Graph f(x) = -3cos(-nx) – 1 by Key Points method.

A:

Q: Let f (x) = /2x +1 and g (x) = /2x – 1. Find h (x) =f (x) × g (x). %3D | a) h (x) = V4x² – 1 %3D - O…

A: Given f(x) = 2x+1g(x) = 2x-1

Q: A grocery store sells two brands of a product, the "house" brand and a "name" brand. The manager…

A:

Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: tter of the guest's name matches function v of Symmetry: G(x) = 3x² + 2x – 6 , x = %3D J(x) = 4x² –…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.