Problem 7. Compute det A, where (a) det A = 0 (b) det A=-12 (c) det A = -24 (d) det A = 24 (e) None of the above [3 -7 2 A = 0 0 00 8047120 -5 000 15444 -2 4MOTO

Q: 1) Write the a Simple Express 55 fraction. short note (max 1 page) Continued fraction as an on…

A: A continued fraction is an expression of the form: a0+b1a1+b2a2+b3a3+b4a4+... In it a fraction is…

Q: Find the amount of each payment to be made into a sinking fund which earns 9% compounded quarterly…

A: Given Data: F.V = $44,000 r=9% =9100=0.09compunded quarterly ⇒m=4rm=0.094=0.0225t=4.5years mt=4 x…

Q: Find F.T [e-t sin(w t)u(t)]

A: Given function is f(t)=e-tsinw0tu(t) Since we know the formula ℱe-αtsinw0tu(t)=w0w02+α+jw2

Q: Let D contain those points z = x+iy of the circle |z| < 2 that do not lie in the circle |z − 1| < 1.…

A:

Q: Classify the critical point of the plane autonomous system corresponding to the second order…

A:

Q: t 0, if x is irrational 1, if x is rational ve a rigorous proof that f is not integrable on the…

A:

Q: Consider the following joint par or two random variables X and Y: Ax, f(x,y) = {40 The following…

A:

Q: (a) (b) Explain the differentiability of f on R by using definition. Let f' be the first derivative…

A:

Q: (10nt-n) -(10nt-n) 2j - [6 (10m² - 2 ) _ - (10 m²-n)] e -e-¡10nt.e x(t)=2 x(t) = −jle x (1) =…

A:

Q: A small park is created inside an elliptical running field with a noticeable statue in its center.…

A: Note: As company policy, we solve first three sub-parts only. So, please resubmit the remaining…

Q: 3 find The Laplace transform f(t) = sint

A:

Q: 3. This question concerns the L metric d and the L¹ metric e on a) Calculate d(f.g) and e(f.g),…

A: Consider L∞ metric d and L1metric e on C[0,1]. (i) To Find: d(f,g) , e(f,g) for  f(x)=1+x , g(x)=x2.…

Q: Use an appropriate substitution to solve the equation and find the solution that satisfies y(1) = 1.…

A:

Q: Question 3 For each nEN, consider xn (a) (b) n == X with x ER+. Define the sequence {gn} by 8n(x) =…

A:

Q: Use Stoker Cur theorem to evaluate. IF - ds S Where F= of radius I with x ] +ya³k ands is the +yx³k…

A: Given That  ∬Curl F →·dS→ F→=yi-xj+yx3k To Find: evaluate  ∬Curl F →·dS→  using strokes theorem

Q: 10. Consider a parabola y = x2 and a circle with center C(0,2), as shown below. The points A and B…

A:

Q: Based on these pictures, i will be needing some guidance on the profit part in the last picture.…

A:

Q: Prove that the curves o_1={|z| =2} and o_2= {|z-i|=5} are homotopic.

A:

Q: The wind-chill index is modeled by the function W=13.12+0.6215T−11.37v0.16+0.3965Tv0.16, where T is…

A: Given the wind-chill index function is W=13.12+0.6215T−11.37v0.16+0.3965Tv0.16

Q: Calculate the volume of the solid bounded by x2+y2=4 and y2+z2=4

A:

Q: Calculate the volume of the solid bounded by x2+y2=4, z=0, and 4x+2y+z=16

A:

Q: QUESTION 5 a) Let F(x, y, z)=xyi + (y² + cosz)j + ek where S is the solid bounded by the cone z =…

A: a) Given F⇀x,y,z=xy i⇀+y2+coszj⇀+exyk⇀ So, div F⇀x,y,z=∂∂xxy+∂∂yy2+cosz+∂∂zexy=y+2y+0=3y By…

Q: Given that ƒ € L²(a, b), prove that there exists a unique polynomial Pn € Pn such that ||ƒ - Pn||2 =…

A: As per the question we are given a L2 function f(x) on the interval [a, b] and we have to prove that…

Q: A craftsman produces two products: floor lamps and table lamps. Production of one floor lamp…

A: labor material cost profit Floor lamps 70 210 395 table Lamps 50 190 345 availability 40…

Q: Consider the region bounded by the y-axis, y = 12,  and  y = 1 + 8x3/2. (a) Write, but do not…

A: (a) Consider the region bounded by the y-axis, y=12 and y=1+8x32. The point of intersection will be,…

Q: We now form a matrix Y consisting of the column vectors X₁, X2, X3 from question 1: -3 2 0 0 2 -3 0…

A: Consider the standard basis of R^3 , {e1, e2, e3}. By the given matrix,  Y(e1) = -3.e1+2.e2 Y(e2) =…

Q: Solve the initial value problem yy' + x = y(1) = √15. + y² with

A:

Q: Determine whether the following series converges or diverges: 7 √n(n+3)(n+8) n=1

A:

Q: b) -28 2s se s² +8s +32

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: The temperature in a certain city is measured at noon each day from 1st July 2013 for two complete…

A: a) The required equation is of the form T(t)=Acos(Bt)+C Now, A=largest value- smallest…

Q: The materials handling manager of a manufacturing company is trying to forecast the cost of…

A: Given data is  Age  Yearly Maintenance 5.5 1319 5.5 1749 5.5 1733 5.0 1195 5.0 1423…

Q: 1. For all n > 2, √n +1 n by the Comparison Test, the series > 1 >, and the series n √n +1 n…

A:

Q: _-_-7/57 = 1778 ++ (5)) pust

A:

Q: Plot the point -4 following are true. -79 given in polar coordinates, and find other polar…

A:

Q: Frequency 10 8 50 60 70 80 90 100 110 120 Test Scores Q How many of the test scores are at least 75?…

A:

Q: (c) Evaluate the Riemann integral ₁¹(x) dx by using definition with the parti- tion 2n=1,2}, n+1 =…

A:

Q: P-1.18 Let A₁ = B-¹C and A2 = CB where C is a Hermitian matrix and B is a Hermitian Positive…

A:

Q: A simple telephone system consists of two end offices and a single toll office to which each end…

A: Here we have given that the average telephone is used to make 4 calls per 8 hour workday. The mean…

Q: Identify the conic the polar equation represents and give the position of the directrix. r= 12 9+5…

A:

Q: Calculate zdz and ₂2¹dz for 0₁ and 02. Show that they are homotopic

A: Please see the next step for details

Q: Obtain al the Sylow p-subgroups of (Z/2Z) X S3

A:

Q: Determine if T (x,y) = (x + y, x - y) is invertable. If so find its inverse.

A:

Q: C: ) Find the value of •∞ 7ln(x) x5 187 Determine whether the series converges or diverges: 7 ln(n)…

A:

Q: Question 2 Let R+ = {x ER|x>0} be the set of positive real numbers. Let A = [a,b), a,beR+,b+∞o, be…

A:

Q: Determine the Laplace transform of the function f(t) = (t + 2)².

A: We need to determine the Laplace transform of the function: ft=t+22.

Q: if gt2) Use induction to prove: 1 ΣΤΗ Σ 2 2n n > 0. hint: 1 2n 2 2n+1

A:

Q: The graph of g' is given below: W Answer the following questions about the graph of g based on the…

A:

Q: Determine whether the series convergent or divergent. Σ(-7)* K+3 absolutely convergent, conditional…

A:

Q: Provide a homotopic squared parameterization of side one o_1= [-1,1] x [-1,1], other than this, and…

A:

Q: a. Use the method of undetermined coefficients to find a particular solution to the nonhomogeneous…

A: