A system is defined by: y(t) = ax(t) + b where y(t) is the output, x(t) is the input; a and b are positive numbers. Determine if the system is: a) memoryless or not b) linear or not c) time invariant or not

Q: ) y = 3logst ) y deriv = (sech t) (1 - In(sech t

A: A function's derivative is the function whose value at x is f′. (x). The graph of a function's…

Q: y dy sin x dx y = sin+1 x X

A: As give equation is homogeneous differential equation so we need to use substitution to convert it…

Q: 5. Show that there is a bijection between R-Z and (-1, 1) U (10, 100).

A: We have to show that there is a bijection between ℝ-ℤ and -1, 1∪10, 100

Q: 6. Use the following information to answer the next question Two functions are shown. y = f(z) is…

A: Given that the graph of y=fx which is in left side and the graph of y=afbx−c+d, which is in right…

Q: (a) Find the inverse Laplace Transform of 1 (s-3)(S-2)² (b) Use the Laplace Transform to solve the…

A:

Q: Answer the following questions on Error. If 1.11 was approximated by 1.09, then Q1- a) Find the…

A: I will solve first 5 subparts if you want more solution then repost it with mention which part to…

Q: 5. Let G(x)= -6 -X 0 Sketch the graph of y = f(t)dt, where y=f(x) is displayed below. -4 = G(x) | -2…

A: Here to determine the function G(x), first we have to determine the equation of the linear function…

Q: (a) Find the general solutions of the differential equations x² ² dy + (1+x)y² = 2x³y². dx (b) Show…

A:

Q: on (a) y = Cex² (b) y = - + Ce

A:

Q: Consider the following. B = {(−3,−2), (2, 1)}, B' = {(−12, 0), (−4, 4)}, [X]B' = 3 (a) Find the…

A:

Q: 25. Given that f(x)=x-5 and g(x) = x² +1, then (gof)(x) is: 0x²-4 x²-24 Ox²-10x-24 Ox²10x+26

A:

Q: Determine the inverse Laplace transform of the function below. 4s + 28 s² +6s+25 Click here to view…

A:

Q: 2. An archer shoots an arrow from a tower to a distant target. Assume that the position of the a…

A: Given position of the arrow x(t), y(t)=50t, 18t-3t2+48 where 't' is in seconds. We know at the…

Q: Questions 6. As a result of the transformation of the graph of y = f(x) into the graph of…

A:

Q: 3. Use a divided difference table to find the Hermite polynomial approximation of a sin(2x-3+1 which…

A:

Q: Answer true or false. If f is not piecewise continuous on [0, co>), then (f(t)) will not exist. O…

A:

Q: 5 7. Let X,Y be two sets. Denote F(X,Y) the set of all funtions from X to Y. Let A, B C X such that…

A:

Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

A:

Q: Fill in the missing values such that the final term is pulled out of the summation. IM= A = B= C = =…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: 1st we will draw the region bounded and then rotate it about y=-4 to generate solid , To find voulme…

Q: (a) The Rodrigues formula says that H₂ (§) = (-1)"¹ es ² * (₁) * (1) Use it to derive H3 and H₁. (b)…

A: Since you have added many problem in one question, here I am answering first two parts (a) and (b).

Q: Answer true or false. .006. If £{f(t)} = F(s) and (g(t)) G(s), then (F(s)G(s)) = f(t)g(t). O True O…

A: Given :  Lft =Fs   and     Lgt =Gs   Prove  :  Whether L-1FsGs =ft gt  it is true  or  false

Q: The matrix A = The eigenvalue 1/2 4 -8 has one eigenvalue of multiplicity 2. Find this eigenvalue…

A:

Q: 1.1 1.2 3 The sketch shows f(x)- asinx for xe[-90270"] -90 Determine the value of a. Sketch f(x) and…

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

Q: -1 4 3x tan x

A: Taylors series formula f(x)=∑k=0∞f(k)(a)k!xk We have f(x)=3xtan-1x and a=0

Q: 5. Use a triple integral to find the volume of the solid between the plane z = 1 and the paraboloid…

A: Given that plane is  z= 1  and paraboloid is  z= 2- x2-y2  We have to calculate the volume of solid.…

Q: Question 28 Which of the following statements is (are) true if all vectors are in R"? d) If W is a…

A:

Q: Solve the problem. Let V be in P, involving evaluation of polynomials at -5, -3, 0, 3, and 5, and…

A:

Q: QUESTION 5 Given the matrix A = -1 (10) 3 -3 a) Find all the eigenvalues of the matrix A. b) Find…

A:

Q: What is the unit rate of $4.25 for 64 fluid ounces?

A: unit rate of $4.25 for 64 fluid ounces?

Q: The matrix has one real eigenvalue. Find this eigenvalue and a basis of the eigenspace. The…

A: The Eigenvector of a square matrix are the non zero vectors which after being multiplied by the…

Q: 7. Find the area of the portion of the plane in the first octant passing through the points (0,0,6),…

A:

Q: 2. 2(2x² + y²) dx - xy dy = 0. ANS. x² = c²(4x² + y²

A:

Q: ulate lim m-700 Σ' · 4 n. 4n

A: Given series limn→∞∑i=1ni.4in.4n

Q: 3. Let A = [ 023 1 202 5 ]. (a) Find Nul A. For what k is it a subspace of Rk? (b) Find Col A. For…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: Solve and sketch the graph of the IVP. dy dt = 81 (1)-82(1) +83 (1)-84(1)+.... y(0) = 0

A: As per the question we are given the following IVP : differential equation(DE) : dy/dt = δ1(t) -…

Q: Evaluate the following line integral by two methods: (a) directly; (b) using Green's Theorem. $y²dx…

A:

Q: 20 grams of salt are dissolved into a beaker containing 1 litre of certain chemical. The mass of…

A: The differential equation is dMdt+2M10-t+1=0. We need to prove that: M=11010-t20-t.

Q: Use the following information to answer the next question Eight possible transformations for a…

A: Let us solve the given problem in the next step.

Q: Exercise 6.41. Let E be a nonempty set in Rn. Then the distance of a point x € R¹ to E is defined by…

A:

Q: Now compute [(x − 3y² + 2) ds where C' is the union of the curves C1 and C2. C1 is the line segment…

A:

Q: Let f: R (-1, 1) be a function defined by Prove that (a) f is injective; (b) f is surjective. f(x) =…

A:

Q: 4 2 00 2 2 4 2 0 4 16 -8 0 28 4 Also, find its equivalent diagonal form and derive its canonical…

A: This is a problem of Linear Algebra.

Q: Problem 5 We have a large course and need n TA. We hold office hour each week. There are m time…

A: We have a large course need n TA for all  'n' Total slots = 7 m time slot Each slots need 2TA  Total…

Q: Determine the volume V and total surface area A of the solid generated by revolving the area shown…

A:

Q: 3. Let f A B be a function, and let Ao C A, BoC B. Prove that (a) f(f(f(Ao))) = f(Ao); (b)…

A:

Q: sine and cosine expansions of each of the following functions : 2kt 0 ≤t≤p/2 Q/Find half-range 15…

A: Given the function is  ft=2ktp0≤t≤p22kp-tpp2≤t≤p

Q: 9. Find the flux of F =(x, y, z²) across the solid that is enclosed by the hemisphere z=₁ z = 0.…

A: Given :              F→ =x , y , z2 z=0   ,   z=1-x2-y2 To Find : ∫∫∫Ediv F→ dV

Q: Solve the initial value problem below using the method of Laplace transforms. y"+y' - 2y = 0, y(0) =…

A: