Consider the following matrix:sity, Math 217 29/08/2021 6:00-7 niversity, Math 217 29/08/2021 6:00- Math 2 4 0 1 A = |10 3 4 0 1 /08/2 a If 2 is an eigenvalue of A, what is the value for a? anbu

Q: Find the Inverse Laplace transform of the following. You may use the table, wher applicable. Show CO...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: 2) Let R be aring. An element a6 R is called a Zero divisor if there exists bER Such that a) a.b=0 a...

A: Introduction: A ring R is an algebraic structure on which two binary operations are imposed. This ar...

Q: What is the decimal fam - 2 -6 2. x 34 33늘 % Das Fu ன் த ச ம 2-2 -2 2. 2x 2 X 2 3X 3 4 x 3 2 2X2X2X

A: Given a 8-2b 2-6×34c 3312%

Q: Find the inverse Laplace transform L-'{F(s)} of the given function. 3s + 9 F(s) s2 + 6s + 18 Your an...

A: Given that Fs=3s+9s2+6s+18. We have to find the L−1Fs. Take inverse Laplace transform of Fs=3s+9s2+6...

Q: What's the square root of 256

A: We have to find the square root of 256 that is we have to find the 256. 225621282642322162824221 Now...

Q: Would you propose the use of any of the direct solution methods to solving the system of linear equa...

A:

Q: Show that |Re(z)| + |Im(z)| ≤ √ 2|z| for any z ∈ C.

A:

Q: *+9x +20x Determine all the vertical asymptote/s of f(x) =- if there are any. x* +x-12 X=-5 X=-4 12 ...

A: The given function is f(x)=x3+9x2+20xx2+x-12 We have to determined all the vertical asymptote/s of t...

Q: The value of the line integral S(2xy² dx + 2x?ydy + dz) along a path joining the origin and the poin...

A: To find the value of line integral  ∫c(2xy2dx+2x2ydy+dz)along the path joining origin and point (1,1...

Q: ach to solve omogeneous ential equatior

A: Given - The differential equation To find - Use the superposition approach to solve the given non-h...

Q: 2. Given a function whose graph is shown below. The function is continuous on(-0o,-5). O Always True...

A: Given, graph of function we see that the graph is discontinuous at x = -5.

Q: Find the inverse Laplace transform L-{F(s)} of the function 2 F(s) = s2 + 9s – 10

A: Note:- L-11s+a =e-a t ; s>-a   Given function is Fs =2s2 +9s-10

Q: Find the sum of the arithematic series with first term 1,common difference 3 and last term 100

A:

Q: The equation for the tangent to the curve y = t+ at the point (1,3

A:

Q: facR,af ischiffontiable at xo gisdiffera tible at to anol

A:

Q: Exercises -4x + 10y = 1 olve the following using the inverse matrix method: 6x y = 0 4y = (a) 2x (c)...

A:

Q: Detirmine where

A: Given,             r→(t)=t2, 2t3, 1-t3

Q: Given a function whose graph is shown below. 2 The function is continuous on(-1,0]. 14 O Always True...

A:

Q: In Problems 1 to 12 find the general solution dx = -4x + 2y dt dy of the given system. 5 x + 2y 2 dt

A:

Q: of equa = 1 3z = 5

A:

Q: 5. (a) Let {an} be a sequence of integers with 0 an10-" exists (and lies between 0 and 1). (This, o...

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

Q: Prove that for any integer a, 3 divides

A: To prove that for any integer a, 3 divides (a-3)(a+4)(a+2).

Q: Consider a solid with uniform density bounded above by the sphere x^2 + y^2 + (z - 1)^2 = 1 and belo...

A:

Q: 9. Which of the following statements are true ? (i) If A = (x : x² = 4, x e N), B = {- 2}, then A + ...

A: Solution is given:

Q: Evaluate the Laplace transform of the following: 1. Prove: L{e-at cos kt} = sta (s+a)²+k2 using the ...

A:

Q: Prove that a point x is a limit point of a set A if and only if every e-neighborhood of x intersects...

A:

Q: 1-cos5h Evaluate ļim h→0 cos7h-1'

A:

Q: (3,8, 3) The cross product of the two vectors u = and v-(7, 1,5) is the vector : Select one: w = (37...

A:

Q: cally integra then in any ng curves is

A:

Q: Question 55. Suppose y(x) is the solution to the given initial value problem dy (In x)s y(1) = 2 dx ...

A:

Q: O Showing all your working, find the solution set which describes the area shown in purple below. 10...

A: Solution 

Q: Let A be compact and U C A be closed. Prove that U is compact.

A:

Q: [B'] We may rephrase [B] using the definition of GA to get the following state- ment. If A e P, and ...

A: Given: A∈Ρ and B∈LΡ then AB∈LΡ

Q: Given two m ×m matrix X and Y , where XY = Y X. Suppose the eigenvalues of X are mutually different ...

A:

Q: H.W. 1- Solving the above example during (n=3, 7) and compare with each integral result by Simpson R...

A: We can solve this by using Simpson rule  

Q: 1. ऊँचाई 14 cm वाले एक लम्ब वृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 88 cm है। बेलन के आधार का व्यास ज...

A:

Q: How many individual simple functions make up the following composite input? 2 1 5 6 A) 4 в) 5 c) 6 D...

A:

Q: 16 $ 20 $ 12 $ 200 A 14 $ 8$ 18$ 160 B 26 $ 24 $ 16 $ 90 C 180 120 150 450 DEMAND Formulate an initi...

A: given data   D E F capacities A 16 20 12 200 B 14 8 18 160 C 26 24 16 90 demand 180 120 1...

Q: The value of the line integral S(2xy²dx + 2a?ydy + dz) along a path joining the origin and the point...

A:

Q: 3 sin? dx |- csc? x tan? x dx 4

A: To solve the given integral (3)  ∫1sin2xdx

Q: Determine whether the relations represented by the zero-one matrix are equivalent and explain your a...

A: Matrix representation of an equivalence relation is symmetric.

Q: prove that C+Ã +3-ARC Using the truth table

A:

Q: Determine the limit: lim 1+n-'sin3(n) А. С. -1 1, B.

A: Introduction: When we deal with sine or cosine function in limits, we follow the inequality sinx≤1. ...

Q: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that point...

A:

Q: Let A be compact and U C A be closed. Prove that U is compact.

A: The complete proof is in given below  

Q: The difference between divergence and curl is represent vector field O true O False

A: True

Q: The directional derivative of f(x, y, z) = xyz at point (-1, 1, 3) in the direction of vector î - 2ĵ...

A: Remark: We know that the directional gives the rate of change of a function at a specific point in a...

Q: Part II Answer all questions in this part. Clearly indicate the necessary steps and explain your rea...

A:

Q: (t2 –1 if t < 5 (2kt The value of k to make the function f(t) continuous at t-5 is if t 5

A: