See the below equations below: 4x + Ay = 4 Ax + y = -2 Solve the value of A such that the system of equations,  a. has no solution    b. exactly one solution   c. infinitely many solutions   d. when there is exactly one solution, it is x =                        ?

Q: 4. (a) 129105 2012910 (a, a, a), v₂= (a.a+1, a + 1) and v3 = (a, a, a + 1) linearly independent? For…

A: Find the answer below.

Q: Question 15 Find the vecto [12] 5 S

A: A vector a with given magnitude in the direction of vector b is given by a·bb here magnitude of a is…

Q: Find the Fourier 2 f..(.t.).=. f₂ series of the following func #<t < 2 2 # < t < Ist I

A: This is a problem of Fourier Analysis.

Q: Let F be a "function" defined on the class

A:

Q: Consider the infinite series in4 n=1 If we use the sequence of partial sums S, to estimate value of…

A: We can solve this using given information

Q: 6. The volleyball player played with the ball with a circumference between 26 and 28 inches and a…

A:

Q: h(t) 8t - 7t³, ²+3t-4, 0st <2 122

A:

Q: Consider the initial value problem y" + 25y = g(t), y(0) = 0, y'(0) = 0, where g(t) = [t if 0 < t <3…

A:

Q: dQ dt + Q = f'Int

A:

Q: Given an n xn-matriz A over a field K ry column vector b, there is a unique column v lution to Ar=0…

A:

Q: 8. A barrel of shampoo is exactly 56 gal. How many liters of shampoo are in the barrel?

A:

Q: ADVANCED MATH (Please "write" the solutions leigibly and correctly. No long explanation needed. Rate…

A:

Q: Given the planes z=0,y=4, Calculate the volume bounded by the cylinder z=x^2 and y=x^2

A: The region is

Q: Suppose we want to obtain a root of x-x-10 = 0. We can rewrite it as x = √√x + 10. If we use the…

A: Fixed point iteration method: To solve F(x)=0, set the equation f(x)=x such that |f'(x)|&lt;1, then…

Q: show that the complex Fourier series of the *** function; f.(t) = t. .。.s.t.5.1... is... jant f (t)=…

A:

Q: 5. A mold grows at a rate proportional to its present size. Initially there is 2 oz of this mold,…

A:

Q: The label on the coke drink bottle is giving the volume in two following units of the 34.0 L and 78…

A: Given, Volume of cold drinks = 34.0 L or 78 fl oz. Where, L= metric unit         fl oz = english…

Q: Let ABCD be a rectangle. The perpendicular bisector of the line segment BD intersects lines AB and…

A: let ABCD be a rectangle with vertex B at origin. let EF is the perpendicular bisector of line BD…

Q: Find the eigenvalues, and for each eigenvalue give a basis of the corresponding eigenspace. 1 1 1 2…

A:

Q: Dif X w = 2 By find ow ?? ot Inz & 8 x= In (+²+1) tant et 2=

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: For items #1 to #10 Use bisection method in solving for the root of a function e^(-x) - tan x = 0.…

A: As per company guidelines i am completing first five rows of the table you can complete rest of rows…

Q: Show that when T(z) = Solve T(z) = ∞o if c = 0 az+b cz+d where (ad - bc #0)

A:

Q: Given matrix A = [] applying 2 -6 31 row operation it become -5 -31 what row operation used? a.…

A:

Q: Determine the global extreme values of the f(x, y): = 12x − 3y if y ≥x-4, y ≥-x-4, y ≤ 7. (Use…

A: Note: To extremize a function of two variables over a closed bounded region, we should first find…

Q: -t Expand f(t) et 1+1. F# in Fourier Series.. DO ans 8. f.(.t.). — sinh. T. + 2 sinhof (-D" con+…

A:

Q: an extremely simple human capital accumulation problem. Let ht denote human capital of generation t…

A: Given that ht denote human capital of generation t (i.e., the human capital of people born in year…

Q: Let f(t) = 2t² for -4 < t <4 and extend periodically. Compute: f(1) = f(5) = f(-4.5) = f(-8)= f(12)…

A: Periodic function: A function is said to be periodic with period T if f(x+T)=f(x).

Q: Given Universal Set = { a,b,c,d,e,f,g,h,i,j}; A = { a,b,c,e,g,h}; B = { b,c,e,f,h,i}; C = {…

A:

Q: 2. Let f: R → R be the quadratic function defined by f(x) = 3x² - 12x + 15. i) Vertex and Axis of…

A:

Q: Determine the volume generated of the area bounded by y=v 64 A 5 128 B 25 D -π 64 15 8 15 元 π 1 =√x…

A: Option c

Q: Suppose (X,≺) is a well-ordering and f : X → X is an isomorphism. Then f is the identity function on…

A: Well ordering

Q: uppose (X,≺) is a well-ordering. Then (X,≺) is not isomorphic to (pred(X,≺,x),≺) for any x ∈ X.

A: Set theory

Q: 7. For the following function: 4 0 <t<l .f. (.t.)..=. 1<t<2 a. Find the complex. Fourier Serries...…

A:

Q: Suppose we want to obtain a root of x-x-10 = 0. We can rewrite it as x = √√x+10. If we use the…

A: Given that  x4-x-10=0 To use a fixed point iteration method with initial value to find the root of…

Q: Consider the following first-order ODE: dy =y+x³ from x = 0.5 to x = 2.1 1with y(0.5) = -1 dx Solve…

A: Given differential equation is dydx = y+x3    from x=0.5  to  x=2.1  with y0.5 =-1 Take fx, y= y+x3…

Q: Determine the eigenvalues of the matrix [3 ·3 3 . Find at least one corresponding eigenvector from…

A: The solution is given as

Q: Consider the initial value problem y'(x) = y²(x), y (0) Use the method of successive aproximations…

A:

Q: o<t<2t in a Fourier Series Ex: Expand fit) = +² expansion : Sol: 2L = 2π T mus L=# 27T 2tr -4п -27…

A: We have given that ,  an = 1π ∫02π t2 cos(nt) dt Here , we need to use integration by parts rule ,…

Q: 1 1 1 1 2 + 1/ +++++ -2¹, 1117 111/ 11 kut \ // SAT/// 3. +11 VA // +1 112 2+- 1 12+ 1 / 1 1 1 11 17…

A:

Q: Question 11 Let u (-3, 1) and v= (4,2). Find the value a in each of the following such that u + av…

A: Given ,u=-3i + j   ,  v = 4i+2j⇒u + av = -3i + j + a4i+2j⇒u + av = 4a-3i +2a+1j

Q: Use the Laplace transform to solve the given initial-value problem. y"+y= √2 sin(√2t), y(0) 13,…

A: Solution:-

Q: b) A periodic function f(t) with period T = 2π is defined as: f(t) = t, for 0 ≤ ≤ t 10 for -≤t≤0…

A:

Q: show that the complex Fourier sevies of the function; f.(t) = t. 。st.sl is... jant if (t) = j 2T…

A:

Q: Consider the initial value problem y'(x) = y²(x), y (0) = 1/1/₁ Use the method of successive…

A: Given,y' = y2 , y(0) = 12 Picard's iteration formula is given byyn = y0 + ∫x0xf(x, yn-1)dx  ,…

Q: Consider the infinite series int n=1 If we use the sequence of partial sums S, to estimate value of…

A:

Q: A tank contains 200 liters of fresh water. Brine containing 2.5 N/L of dissolved salt runs into the…

A:

Q: 7. For the following function : 4 o<t<i ..f. (.t.)..= -{" [² 1<t <2 a. Find the complex Fourier…

A: Answer 2 is different, -sign will appear in front of sin terms

Q: 2 1 Let A = Show the details of two 03 different methods [(1) using the adjoint and determinant, (2)…

A:

Q: Solve for the following: b. A21 a. M23 j' -2 4 c. B-¹ 3/ -/5 sin j5 In(-1) 3-Inj 1

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