The lower right-hand corner of a long piece of paper 6 in wide is folded over to the left-hand edge as shown below. The length L of the fold depends on the angle 0. Show that 3 L = sin 0 cos? 0 6 in.

Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: A= ュC= D=0 FIND AK

A: The given matrix is A=1201213 To find: Ak

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A: Given function isfz=zzIt is proved that fz is conformal as shown below.

Q: Hiws solve Sinite diffrence + Xy =2xy me thod [o,l] gくり=1

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Q: (b) (x+y) dx + (3x + 3y – 4) dy = 0

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: Find the product of z1 = 2 (cos 213° + i sin 213 °) and Z2 = 4 (cos 33 ° + i sin 33 °) %3D

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Q: Find values of a, b, and c (if possible) such that the system of linear equations has a unique…

A: The given linear system is ,                                             x + y = 6…

Q: Example S = {q1 = 2 + x + 4x², q2 = 1 - x + 3x², q3 = 3 + 2x + 5x²} a. Show that S is the basis for…

A: The given question is related with linear algebra. Given that,               S = q1 = 2 + x + 4x2 ,…

Q: B. FOURIER SERIES OF PERIODIC FUNCTIONS 3. Interval – 1<x<1; function f(x) = 0, = 1, -1<x<0 0<x<½ =…

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Q: Evaluate the following. (2-14)(3-i) 1+i 2 (1-i)(2+i3)(2-i4) (1-4)+(-)

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Q: (1) RELATED RATES. Provide all details as demonstrated in class. x= chronological order of the…

A: We will use derivative to find rate of change of one variable with respect to other

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Q: 1. Use the Euler, improved Euler and Runge-kult- methods to solve the following ODE's: b. y + y tam…

A: Hi dear, as per the rules we can solve first three only. so i solved three methods. Please check.

Q: 2. Show that p q is congruent to (p - 4)A .

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Q: Question 3 Assume that g(r) be a function on (0, 100) and has a derivative g(z) and a primitive…

A: Fundamental  theorem of calculus part2   If f is a  real-valued function on a closed interval [a,b]…

Q: How many binary numbers of fixed length 8 have weight 3?

A: According to guidelines here solution of only firt question

Q: Q14: Define subring. Is the set S = {(" is a subring of the ring M %3D of all 2 x 2 matrices?

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Q: -2x 01. lim,-»o 4 sinx

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Q: Q3: Prove that, there is no simple group of order 200.

A: Here we use sylow theorem to prove this.

Q: Suppose that a game has the following payoff matrix. Calculate the expected values for the following…

A: Solution

Q: # 4) Compute 1 dz dr dy and give a geometric interpretation of your answer.

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Q: A subspace of a completely regular space is completely regular.

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Q: (3) For a > 0 and y > 0, the equation -(r+2)2(y+3) = 0 defines y as an implicit function of r. Find…

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Q: 8. Compute for the molarity of a solution containing 100.35grams of sodium hydroxide dissolved in…

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Q: The Laplace transform of e-3r e2(1=t) dt is Select one: 1 (s + 3)(s – 2) None of these 1 (s + 2)(s +…

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Q: Because eºt in the t-domain is related to in the s-domain, which one of the following S-a is the…

A: We will use definition of Laplace transformation to solve this problem.

Q: 3. Find the Laurent series of f(2) = Log () for |2| > 1.

A: Given function: f(z)=Logz-iz+i To find: Laurent series for f(z) for |z|&gt;1

Q: Q2:(A) Prove that every Boolean ring is commutative. Is the converse true? Explain your answer.

A: Introduction: In the theory of rings, Boolean ring is an important ring. When every element of a…

Q: Three standerd dire ane golleid togethic what mumbeys to the Set ithe fpoha tilidy thet the Sam f…

A: Find the probability of the given condition :-

Q: e) Determine the finite/first differences for this relationship. Then determine the second and third…

A: Solution : A) Day(d) Population(p) First Differences Second differences Third differences 0 100…

Q: السعلهلتمـِxله ملتلعللمو ) محلموكلوفحلرللت )رههد x^(5- )x = )ه ,4¢x

A: The given P.D.E is                              utt=16uxxu0,t=u5,t=0, utx,0=0   ux,0=x25-x To find:…

Q: I. Problem Solvinga 1. Given the function, find the Fourier Series Representation. f(t)

A: from graph f(x)=-π-x,x∈[-π,0) π-x,x∈(0,π] Fourier series of f(x) is given as f(x)=a02+∑n=1∞an…

Q: A measure of the outcome of a decision such as profit, cost, or time is known as a О payoff O…

A: Solution

Q: {: 2s-3 "hat is L- { equal to? s2-12s+13

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Q: You generate a scatter plot using Excel. You then have Excel plot the trend line and report the…

A: Let us find the correlation coefficient.

Q: Q) Consider The system -3 a) Find a fundamental matrix for thingts ten ) Find the solution o f that…

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Q: In the diagram, the cylinder and the hexagonal prism have the same height, h = 12 centimeters, and…

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Q: 1 2. Expand f(2) = in a Laurent series in the region 1< |z - i| < v5. z2 + 2z

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Q: A formula of order 4 for approximating the first derivative of a function f gives: f'(0) 4.50557 for…

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Q: Can you make an xy table and graph out of this

A: The xy table and graph of the given function are as shown below.

Q: 1) For ellipse, consider the following graphs Please use your own words to summarize the difference…

A: 1)  There are two ellipse one is in the left side and other is in right side. Both ellipse has…

Q: Resolve the (a) a has a magnitude of 16 units and makes an angle of 48° to the positive (b) b has a…

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Q: Q4i prove that 1. Let R be a commutative ring with identity and I be a maximal ideal of R. Then the…

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Q: Solve for A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right…

A: We use properties of matrices.

Q: 9. z4 – 3iz? – 2 = 0

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: 2 0 Q4)(a) Find the maximum eigen value for the system 4 = with initial vector x' (0) = (0.0299 1

A: We have to find the maximum eigenvalue for the system A=20111 with the initial vector xT0=0.0299  1T

Q: Use the main theorem on primitive roots to show 12 must be a primitive root mod 25 (don't take…

A: We first state the theorem (Theorem 10.6 in Apostols Analytic Number Theory) and then use the…

Q: What is L-1{ 3s-100 g2+10s–200 equal to? 13 420t e-10t 710t 16 e-20t none of the choices 16 10t 20t…

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Q: (B) Explain the relationship between each of the following a) Field and integral domain. b) Cyclic…

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Q: 4. A car costs Php 800,000. Find its value after 4 years if it depreciates 20% of its cost per year.

A: Solution(4)   According to the given information the present value of the car is P800,000. Now the…