1. Evaluate the line integral of E-xa, -y a, along the segment P; to P; of the circular path as shown. P₁=(0, 3) P₂-(-3,0)

Q: suppose A is a positive real number, determine the area of the traingle enclosed by the lines x=0,…

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Q: I. Find the sum of the following convergent series. lim = 348 lim lim 846 Σ [tan² (2n-1) - tan²¹…

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Q: find these thin ou will need to create a table with the following information for each cub 1. Side…

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Q: PDE: ) Solve the problem Ut = 16u1 BC: u(0, t)u(1,t) = 0 IC: u(x,0) = 2 sin(2x), u(x, t) = 0 0…

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Q: The circle of radius 1 centered at (-3, 4,1) and lying in a plane parallel to the yz-axis is a)…

A: Since you have asked multiple questions here, we will solve the first one for you. To get the…

Q: Find the general solutions of the system. 1 - 12 0 3 0 1 0 0 9-36-2-9 0-12 0-2 11 x(t) = X

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Q: (part 3) If the "average" number of persons in each car on the road is 1.38 persons, which average…

A: If the "average" number of persons in each car on the road is 1.38 persons

Q: Given the Differential Equation: (5x-y)dy+(3x-7y)dx=0 1.) Show tthe complete solution that the above…

A: The differential equation of the form dydx=f(x,y) is homogenous if f(λx,λy)=f(x,y) To solve a…

Q: using redula falsi method,solve 3x+sinx-e^x

A: If f(x) is a function of x, then the equation in form f(x)=0 is called a transcendental equation.…

Q: if X=F(uiv) and y=g (uiv). Shot that Su ах Lugu - Fugu av = ? av = ? ах

A: Using Cramer rule for solving system of two equations

Q: b. Change the polar coordinate complex number 8 (cos 235° + i sin 235°) into rectangular form. Then…

A: Given: Polar form of a complex number is 8cos 235°+isin 235°. To find: Convert the given complex…

Q: Problem 2. Let f be a homomorphism from a group G into a group H. Prove that f is one to one if and…

A: Let f be a homomorphism from group G into group H. Suppose f is one to one . We need to show that ,…

Q: Use the power series 1 -Σ (-1)^x, x < 1 1 + x n = 0 to find a power series for the function,…

A: The Maclaurin series is a special case of Taylor series. When the Taylor series is centered at any…

Q: Separation of variables The lateral radiation of heat from a bar of length L insulted at both ends…

A: There are so many subparts, as your requirement i solve first three subparts, including part 3.…

Q: Find the equilibria of the difference equation and classify them as stable or unstable. (Enter your…

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Q: O sin u=3x/2 sec u =2x/3 sec u =3x/2 O tan u =3x/2 S x² dx √4+9x²

A: ∫x24+9x2dx

Q: value of x?

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Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

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Q: The auxiliary equation of the differential equation -5y""+y' + 2y = 0 is -5m² + m² + 2m = 0. O False…

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Q: Problem. A garment factory manufactures men's shirts and women's blouses. The production process…

A: Given that a garment factory manufactures men's shirts and women's blouses. The production process…

Q: The auxiliary equation of the differential equation -5y""+y' + 2y = 0 is -5m³ + m² + 2m = 0.

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Q: The area bounded by the parabola y² + x - 2y = 1, the x — axis, and the line x = 2 revolves about…

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Q: g mall, restaurant c

A: Given, in certain shopping mall, restaurant charges are  125 150 200 165 175 190 230 180

Q: (part 2) Give an example of a set of data for which the mean is lower than the median.

A: To give an example of a set of data for which the mean is lower than the median.

Q: A large pipe can empty a pool in 6 hours and a small pipe can empty the same pool in 9 hours. How…

A: Given that a large pipe can empty a pool in 6 hours and a small pipe can empty the same pool in 9…

Q: Let X be a normalized space. holds in general for x E X and y EX: ||x*y|[ <||x|*|ly|l Prove or…

A: As per the question we have to prove/disprove the following inequality : ||x*y|| ≤ ||x||*|y||  ,…

Q: Q.1 Find the Laplace transform for the following 1. t² sin 3t -21 2. t cos³t 3. te sint 5. te ³t sin…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Find the index of H = {0,3} in Z. 1 2 Find the left cosets of the subgroup 4Z in 2Z. A. {2Z} B. {4Z}…

A: H={0,3} is subgroup of order 2 of group Z6 which has order 6  So, index of H = {0,3} in Z6 is (order…

Q: Let X be a normalized space. holds in general for x E X and y EX: ||x*y|| ≤||x|*||yl| Prove or…

A: As per the question we are given a normalized space X with norm ||•|| And we have to either prove or…

Q: 3. Classify the given partial differential equation as hyperbolic, parabolic, or elliptic. a. а2u…

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Q: Separation of variables The lateral radiation of heat from a bar of length L insulted at both ends…

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Q: Problem 1. true or false. (a) If A and B are nxn matrices with no zero entries, then AB # Onxn.…

A: We need to check if the statement in part (a) is true of false (a) if A and B are n×n metrics with…

Q: nx Let {fn(2)} = {1 for x ≥ 0. 1+nx . (a) Find lim fn(x) = f(x). n-x (b) Show that if t > 0, the…

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Q: Using the generalised triangle inequality, show that |d(x, y) − d(z, w)| ≤ d(x, z) + d(y, w).

A: Introduction: The metric space is the base of general topology. Metric space is a mapping d. The…

Q: 2πT 1 I₂ = So dt. 13 + 5 cost Let I be the unit circle {z e C : |Z| = 1} parametrised in the…

A: Solution:Let z=eιθThen z=cosθ+ιsinθ (By Euler's…

Q: What is the inverse of (2, 3) in Z3 X Z5*? A. (1, 2) B. (2, 3) C. (3, 2) D. (2, 1) What is the order…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Find the Laplace transform of each function. Note: Review your trigonometric identities to help you…

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Q: Problem 8. In R4, let W be the subset of all vectors a1 a2 V= az a4 that satisfy a4 a3 = a2a1. (a)…

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Q: our trigonometric identities to hel +5} 2t) + 7 sin(2t)} (3,0<t<5 10,5≤t≤8 t≥ 8 .0 - 2y' + 5y = 10};…

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Q: a. Identify the type of graph of S b. Write the equations of the traces of S on the coordinate…

A: Note that : x2a2+y2b2-z2c2=1 represents a hyperboloid of one sheet.

Q: f(x,y) / = P√= f(ay) - P²Fs [P;y} 2 proof. (H-w-) арсх, у) o as X ox (41) Fs [ 1² f (x, y) If f…

A: Introduction: Fourier sine transformation is another type of integral transformation. This…

Q: Problem 1. Find all subgroups of the group Zand draw the lattice diagram for the sub- groups.

A: Since you have posted a multiple question according to guildlines I will solve first question(Q1)…

Q: ds = 5tª √s. Find the complete solution of dt

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Q: The Laplace transform of the function f(t) = e³-¹(2t — e³t)² is: - [(8e^3)/(s+1)^3]-[(4e^3)/(s-2)^2]…

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Q: Consider the function f : [0, π/2) → [−4, 5] given by f(x) = 3 cos(x). Find the domain, codmain and…

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Q: y': 4y-3x 2x-y

A: To solve the below differential equation. y'=4y-3x2x-y

Q: 1 '1+t²⁹ Given R'(t) = (4e²t, , 2cosh t), and R(0) = (1, -2,3).

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Q: 9-4 √&(x-5) y-4 = √√√ & (+²+5-5) y=4 = √√ = +² 4-4 = + t t y = 7/1/20 +4 · +² +5 x =

A: Solution

Q: 1. Given a two variables function z = f(x, y) = √√√36 - 4x² — y². (i) Determine the domain and range…

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Q: Derive the Laplace transform of the first derivative of the following. (a) L{1} (b) L{eat} (c) L{sin…

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