A thin Wire is bent into the Shape of a semicircle X² + y² = 4₁ X 70. If linear density is 3, find DAN the exact Mass of the Wire.

Q: Determine whether or not the polynomial 2x³ +3x²-7x-5 is an irreducible polynomial in Z₁₁ [x]. If…

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Q: 3 sin y 2. Find the particular solution of xsin² y cos yy' +. 1+ ln x =4 ¡y(e) = 1/

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Q: Determine whether the set Wis a subspace of R³ with the standard operations. If not, state why.…

A: I have given the answer in the next step. Hope you understand that

Q: Absolutely convergent

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Q: x + 9x² 27x³ 81x4 + + 5 7 9 A. Un = B. Un = C. Un = D. Un = The general term un for the series is…

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Q: 7 Solve the differential equations (a) f(t) + 2f (t) = tu(t)- (t-1)u(t-1) where f(0) =

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Q: Given the Matrix Below 5 -4 7 1 10 -2 7 -1 9 A = B = 2 9 -10 2 6 -2 O 5 2 12 -4 1 a. A+' (using…

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Q: A weight is oscillating on the end of a spring (see figure). The displacement from equilibrium of…

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Q: A Markov system with two states satisfies the following rule. If you are in state 1 then of the time…

A: From the data, if the transition matrix is A=a11a12a21a22 Then…

Q: 4. A thin homogeneous bar of thermal diffusivity 9, length 2 cms and its left end maintained at…

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Q: For (a), how did cot y become tan y?

A: a). given  dydx=cotx cotydy= (cotx coty)dx1cotydy=cotx dx integrating on both sides we get…

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Q: QUESTION 5 Consider the following statements: (i) There exists a function f: R→ R that is…

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Q: u(x ) = 2 − 2x + 5x ª + 7x ³ + ſ', (x − t)u(t)dt

A: Consider the given Fredholm integral equation, ux=2-2x+5x4+7x5+∫-11x-tutdt So, it can be expand as,…

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth.…

A: We need to find the value of given expression  250e^(-0.85)=? After using calculator  250e^(-0.85)=…

Q: (b) Given the second order boundary value problem y" +4y=sin x, (1) € y(1) = 0. By taking h=0.25,…

A: Given information y''+4y = sinx,   y0=0,   y1=0   Part (i):- step size h = 0.25

Q: (i.e., bijective), or injective but not surjective, or surjective but not injective, or neither…

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Q: -2 5 x(w) 2 W

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Q: Classify the origin as an attractor, repeller, or saddle point of the dynamical system k+1 Ax. Find…

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Q: Consider the function f(x) = 7x + 5x¯¹. For this function there are four important intervals: ( − ∞,…

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Q: 1- Find the order and the degree of the following differential equation -

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Q: log10 (1000100) 100 + 100 ANT sin(n) + (-1) n 1000 II 1 cos(™M)²

A: Given expression as log101000100100+∑n=1100sinπn+1-1n·∏m=110001cosπm2

Q: Find the series solution of y" + xy' + x²y = 0

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Q: Given the differential equation: x(x+3)y'' - 9y' - 6y = 0 Question: For the given differential…

A: Given differential equation is x(x+3)y'' - 9y' - 6y = 0

Q: 21x 6x 9+ 6x 16+ 7x 2+ 2- 2- 2÷ 2÷ 9+ 8+ 1- 2- 10x 20x 3÷ 7+ 1- 3÷

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Q: Determine any differences between the curves of the parametric equations. (a) (b) x = cos(0) y = 8…

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Q: Solve the system of equations using augmented matrix methods. X₁ - 2x₂ = 1 2x₁ - x₂ = 5 Select the…

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Q: Instructions: Solve the following word problems. 1. Three couples have reserved seats for a concert.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Using &, & method show that (a) dimit 1 = 1 and (b) dim x³_- χ X x-→| 241 2-1 ܬ = 3

A: As per the question we are given the following limits : Limitx→1 (1/x) = 1 Limitx→1 (x3 - 1)/(x -…

Q: 5. Use mathematical induction to show that for any integer n ≥ 0,7" - 1 is divisible by 6.

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Q: 7 Solve the differential equal (c) f"(t)-f(t) = u(t) sin 3t-(t-4) sin 3(t - 4) where f'(0) = f(0) =…

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Q: if x is a compact Metric space and F e C (X₂Y) is equicontinuous, then F i's uniformly…

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Q: Q5// A. Draw a graph with the degree sequence 1, 1, 6, 4, 4.

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: ΣΑ=2 3 V n – 2 4 3 4η + 5

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Q: The following is a LPP: Max Z=10X1 + 9X2 + 12X3 X1 + X2 + X3 <= 10 2X1 + X2 + X3 <= 12 X1 + X2 + 2X3…

A: By Simplex Method we have  Max Z=10x1+9x2+12x3+0S1+0S2+0S3Subject…

Q: Q1. (a) What are the salient features of Regular Singular point and Irregular Signular point of…

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Q: It is known that sin x = (Series 1) for all x ∈ R. 1. Find the Maclaurin series for x sin…

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Q: 0.5x3yz + 1.5 = 0 x + 3y + 2z - 1 = 0 -2x +12y + 4z - 6 = 0 a. Use your knowledge of planes to…

A: NOTE 1 : xa+yb+zc=1 where a=x-intercept, b=y-intercept and c=z-intercept ie, this plane meet the…

Q: 01/ Three reactors linked by pipes. As indicated, the rate of transfer of chemicals through each…

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Q: Find the general solution to the given system. 2x1 + 10x2= -4 -2x3 = 6

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Q: u(x)=2-2x + 5x * +7x³ + (x-1)u(t)dt

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Q: A population is exhibiting geometric growth and contains 50 individuals in the initial generation…

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Q: Σ__(x+1)" 2 3"√√n²+1 Radius of convergence is 3, Interval of convergence is − 4 ≤ x<2

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Q: Use the table to find lim_ f(x) I→ 2 X 1 1.9 1.99 2 2.01 2.1 3 f(x) 10 11.8 11.99 10 12.02 12.1 15…

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Q: Consider the function f(x) = 12x5 + 30x¹ - 160x³ + 5. f(x) has inflection points at (reading from…

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Q: D E B F Find an Euler path for the graph. Enter your response as a sequence of vertices in the order…

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Q: Find the measure of angle x in the figure. 1250 1300 130 125° x 144° Note: Angles not drawn to…

A: The given polygon is a Septagon. We know that the sum of total angles of a septagon is 900°

Q: area of the curve: x=y^2+8 ;x

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