Consider the following transfer function, with U(s) as a unit step input. What is the correct expression to use when solving for y(t) using an inverse Laplace transform? Y(s) = T(s) = U(s) 16 s2 +s + 10 А. В. y(t) = L-1{T(s)}L-1}} y(1) = L=1{r(»)} |C. y(t) = L-1{T(s)} D. None of the other answers

Q: would the expansion not be  1-3x+6x^2-10x^3  ? And how did you calculate the range please ?

A: Yes, the correct expansion is as follows: 1−3x+6x2−10x3+15x4

Q: 1) = det(A) for any A E M2,2(R). Is ƒ a linear transformation? [b11 b12] [b21 b22 a12 A = a21 and B…

A:

Q: 3. f(x) —D ех — cosx e* - 2 COSX |

A: Here ex-cos(x)-2=0Let f(x)=ex-cos(x)-2Here x 0 1 f(x) -2 0.178 1st iteration :Here…

Q: Using a truth table, determine if it is valid or invalid. If either Abby or Bernie goes to work…

A: Let :  p : Abby goes to work q :  Bernie goes to work r : Cathy  will be left behind s : Donnie will…

Q: How many random errors of magnitude plus of minus one would be necessary to have 35 different ways…

A:

Q: = 1 lim n sin = 1. n→00 n i=1

A:

Q: How does k^2 (-uv) become (I-k^2)?

A: The cross product of two vectors takes the opposite sign when the order is changed. u×v=−v×u…

Q: Find two power series solutions of the differential equation y''+(cos x)y=0

A: (b) Given data given a differential equation y''+(cosx)y=0

Q: 土

A:

Q: 1. A cosmputer company wants to hire 25 programmers to handle systems programming jobs and 40…

A: This is a problem of set theory.

Q: Determine if the function is continuos. If the function is not continuous, find the x-axis location…

A:

Q: A scientist would like to clear his liquid sample of sediment by pouring it through a cone shaped…

A: Introduction: In mathematics, a differential is an expression based on a function's derivative that…

Q: Let Pn denote the vector space of polynomials in the variable x of degree n or less with real…

A:

Q: Find the general solution of the given linear differential equations y" - y = cos x - 5 sin(2x) By:…

A: 1) By using method of undetermined coefficient ,  We have given a differential equation  ,  y'' - y…

Q: 4, 0st< 2 2. f(t) : [0, t2 2

A:

Q: Show that (p a q) → (¬ p → q) is a tautology. Show that (p → q) ^ p and (q ^ p) are logically…

A: Truth table is used to show the two statements are equivalent

Q: What is the Maclaurin series for (tan -1x)? x x5 x7 X' O A. x- -+ 2x3 О В. 2х- 2x5 2x7 2x* 23x6 44x°…

A: We have given Maclaurin series (tan-1x)2. We have to calculate first four term of given series.

Q: Determine whether the function involving the n × n matrix A is a linear transformation. T: Mn,n -…

A: Suppose T:Mn,n→Mn,n such that TA=4AX-4XA, where X is a fixed nxn matrix.To check: whether T is a…

Q: Find r'(t), r(t,), and r'(t,) for the given value of to- r(t) = (5 + t)i + t°j, to = 1 r'(t) = r(t,)…

A: To find r'(t) and to sketch the curve represented by a vector-valued function and sketch the…

Q: [sin a 1. In this question, you will be using the following trigonometric identities: cos? a + sin?…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Solve for all the roots of x using Bairstow's Method starting at r = 0.25 and s1 = 8.75 of the…

A: Solution :-

Q: The set 1 [O 01 B : is a basis of the space of upper-triangular 2 x 2 matrices. -3 -27 Find the…

A:

Q: Problem 3 The Lock and Co Hatters produces two types of hats, the panama hat and baseball cap. Each…

A:

Q: Question 7. Prove or disprove: (a) The union of two subgroups of a group (G, *) is a subgroup of G.…

A:

Q: In writing responses to these problems, remember to communicate your mathematics clearly. In Task…

A: We will use the basic knowledge of differential calculus and reasoning to answer both the parts of…

Q: A region is in the middle of a drought. The table shows the number of homes without water for each…

A:

Q: 4. Evaluate where C is a simple clos upper are of the unit cir

A: Greens theorem is used

Q: Below is a graph of f' (x), the derivative of f(x). A B D E When is: f(x) greatest? f(x) least? f…

A:

Q: QIV2 = {a + bv2| a, b e Q} -le, that is, Q[V2] is a field. Find the degree of the field extension…

A:

Q: The weight or cost of a path in a weighted graph is the sum of edge weights of a path. The shortest…

A: We will use the algorithm of finding the shortest path between s to t.  Option (b) is a correct…

Q: Find a basis for the nullspace of A.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Draw three different graph that has a Euler Circuit. (minimum of 5 vertices)

A:

Q: 6 sin 5 |x cos xdx 2

A:

Q: 2. Consider the trees with 7 vertices which have exactly 4 leaves. (a) Find a representative of each…

A:

Q: Refer to the problem below. Supply the needed information. Write the unit of measurement. Pritz and…

A:

Q: If R(t) = (3t 2 -t) i + (2- 6t) j - 4t k , find (a) R(t) dt and (b) R(t) dt.

A:

Q: A certain bacteria culture is observed to double its amount after two hours it was initially…

A:

Q: 5. Find and sketch the domain of the function z = f(x,y) = /2y - x². %3D

A:

Q: Let be a rational prime, with p = 1(mod 4). Prove that p is the product of two Gaussian primes that…

A: We will use the basic knowledge of number theory to answer this question properly and completely.

Q: Suppose you attempt to use Newton's method to approximate a solution of the equation z* + a° – 32? –…

A: Given: x4+x3-3x2-2x+2=0x0=1, To calculate the value of x1,x2,x3 and x4 using Newtons…

Q: A square matrix is half-magic if the sum of the numbers in each row and column is the same. Find a…

A: Solution :-

Q: The sum of two numbers is 25 and their difference is 7. Find the numbers.

A: Let x and y be two numbers . The sum of two numbers is 25.i.e. x+y=25 ...(1)The difference of two…

Q: PE02]Rbe function frx)={" if xs1 X. if x7L Indicate whet her the functionis Ca Pable o fin tegrable…

A:

Q: Determine whether the function is a linear transformation. T: R2 → R3, T(x, y) = (2x², xy, 3y²) O…

A: We have given that function ,  T : R2 → R3 such that ,  Tx , y = 2x2 , xy , 3y2 We need to determine…

Q: Use the following methods to solve for the root of the equation f(x) = xe¯* – sin²x Direct Search…

A: Direct search method: If f(x)=0 has a root in between a and b, then divide the interval into…

Q: 1. Consider the equation ODE dy dt y (1? – 9). %3D (a) Sketch the graph of dy as a function of y. dt…

A:

Q: 3 30 20 20 2

A:

Q: The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site…

A: This is a problem of application of calculus.

Q: Use the following methods to solve for the root of the equation f(x) = xe* – sin²x Direct Search…

A:

Q: 7. Find the general solution of (Dʻ + 2D’ + 10D²)y = 0.

A: