A cylindrical capacitors have the following dimensions: Take L-2000 cm, w-0.012 ft, x-0.022 ft. y=0.032 ft, z=0.042 ft, r₁5,r2 = 7, and Er=9. Determine the capacitance. tri

Q: If lim an = 12400 lim a2n+1 = L, then lim an = L 11-00 11-00

A:

Q: Assume that T and S are matrix of the same size. Prove or Disprove that (T + S) 2 is a symmetric,…

A: Given   T  and   S are matrix of same size. We have to prove if  T+S is symmetric, skew - symmetric…

Q: Find the order and degree of exy" - 3(y²¹)² + 2xy = xe^ and write the differential equation in…

A: Properties of differential equation  The normal form of  differential equation is…

Q: a) Find all critical points of the function f(x,y) = x³ + 3y - y³ - 3x and classify them as local…

A:

Q: For any two kn-matrices A a

A:

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: See the following matrix below: A 2 1 -1 2 0 2 1 B Answer in simplest or reduced fraction form if…

A: The determinant of a 3×3 matrix is calculated using the formula:…

Q: Q/ Integrate double integral For the Function F(x₂9) = 1/xy over th rectangle R: 1 √ X 15 2 1 559 55…

A: This is the problem of multi-variable calculus.

Q: If lim azn = 72400 lim a2n+1 = L, then lim an = L 121400 1140

A:

Q: -t Expand f(t)=ē .ans:... • Itt F# in Fourier Series nc-u" -cash + -1+n² ..f.(.t.) = — sinh.T + 2…

A:

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: Problem 3. Let A be a complex nxn (n ≥2) normal matrix. Suppose that λ = 1 is an eigenvalue of A of…

A:

Q: Consider the sequence {x} defined by n n+1 1+In(1/n²) ifnis odd Is the sequence divergent or…

A:

Q: (d) subspace of R2, or explain why it is not a subspace of R². (i) 1291051 (iis 291051 2012 For each…

A: We solve this problem using the definition of a subspace. The detailed typeset solution in latex is…

Q: Question 1 A company's cost, in dirhams, of making x tablet computers can be represented by 25x+ The…

A: # as per the guidelines we are entitled to solve one question at a time please resubmit the other…

Q: Given a vector s (v₁),e m, and let where |J|= n. T uch that LnI= e same subspace

A:

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

A:

Q: 8. Consider the function of two variables f defined by 1 z = f(x, y) = 2x² + xy + 2². (a) Prove that…

A:

Q: Pls answer no.2 asap. Thank you. Note: Provide a correct, detailed, and complete solution. Write…

A: 2)  given function  3y''' + y'' -38y' + 24y = 3t-2,             y(0)=0, y'(0)=0, y''(0)=0   we know…

Q: Let A = 0 D = P-¹AP. P = -2 -21 -1 Find an invertible matrix P and a diagonal matrix D such that 0…

A:

Q: 5. Find the half.. range cosine Fourier Series for.. the function.. X OCX < Z ..£.(x)...= TT-X <x<T…

A: The given problem is to find the half range cosine Fourier series expansion of the given function…

Q: A plane with the equation + / + ² = 1 (a, b, c > 0) together with the positive coordinate planes…

A:

Q: Tank A initially holds 100 gallons of brine that contains 100 lbs of salt while tan B holds 100…

A: This is a problem of modeling differential equations.

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: F (s) 1 = s(s²+2s+5)

A:

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

A: To find the series sum using partial sum :-

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: dy Consider the differential equation da Create a slope field at the indicated points. 2 1 2 -1 -2…

A:

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: Find the area bounded by the parabola x=8+2y-y², the y-axis, y=-1, and y=3 A 92/6 s.u. B 92/4 s.u.…

A:

Q: 4. (a) (i) Calculate (4 + 6)². (ii) Hence, and without using a calculator, determine all solutions…

A:

Q: y = x x², x = 0, x = 2, y = 0, about the ï — axis is 27 units³

A: We have to solve given problems:

Q: Q / Determine the value of b so that vectors 4 = 49-593 V=-2₂0₂-5 w=bs 1, 6 lg are in the Same Plane

A: We have given that the vectors ,  u = 4 , -5 , 3  ,  v = -2 , 0 , -5  ,  w = b , -1 , 6 We know that…

Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around y=3. 2 A 16/3 B…

A:

Q: (Cholesky factorization) Let A be a real symmetric positive de RRT Gunth

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

A:

Q: Solve for the given systems of linear equations. Solve for the unknown variables using all fou…

A: All the methods are too lengthy that's why I am answering with the first method only. Kindly repost…

Q: Evaluate the surface integral F F. ds for the given vector field F and the oriented surface S. In…

A:

Q: 1. Prove that √√5 is irrational. 2. Prove that 3 + 2√5 is irrational. 3. Prove that the following…

A: 1)  Here , we need to prove that , 5 is irrational. For that , let us assume that , 5 is not…

Q: Let A be an invertible n x n-matrix. The natrix A(1 : k, 1: k) is invertible for k = 1 Fation, we…

A:

Q: Evaluate the I'S. ü integral 2x-X xy dy dx

A:

Q: 5. Find the half.. range cosine Fourier Series for.. the function.. X OCX < Z ..£.(x)...= TT-X <x<T…

A: The given problem is to find the half range cosine Fourier series expansion for the given periodic…

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…

Q: Determine whether the Fourier series of the following functions converge uniformly or not. A) f(x)…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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: 4. Expand .f. (X.).=.03.x. as a half._. ·range Fourier sine.... series in the range FX S.T. 8 ans.:…

A:

Q: Find the sum : [00 En = n=0 (-1)" πT 2r q" (2n)!

A: We have given a series ,  ∑n=0∞ (-1)n π2n9n 2n! We need to find the sum of series ,  ∑n=0∞ (-1)n…

Q: A. SOLUTION OF NON-HOMOGENEOUS SYSTEM GIVEN: 7 - 3 4 0 -7] A 2 1 -1 4 6 0 1 0 -3 -5 1. SOLVE THE…

A:

Q: Define the Periodic laplace transform Shown below. f(t) A L 234 1 >t

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…