The standard form of the following linear differential equation sin x = (cos x)y + xsin x + 2 is: dx

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A: Introduction: Differentiation has a wide range of applications in many fields of mathematics. One…

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Q: Set up the equation in solving volume of the solid generated when the area bounded by a = √y, x = 0,…

A: x=0 so y=0 and given y=3  V=  ∫  a to b (pi(f(y))^2)dy  Here a=0 , b=3

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A: Consider the given future population quadratic model, Pt=0.7t2+6t+15,000 where t is years after…

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A: Consider the curve which is described by the vector function r(t)=&lt;t4lnt, t-32, -3e-3t&gt;. Find…

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A: Consider the given functions, px=x2+2x-15qx=x+1x-3rx=7-x i. The composite function is given as…

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Q: Evaluate: S ○ (2-√2) T 8 ○ (2-√2) T 4 O (√2-2) T 4 O (√2-2) T 8 -y² sin √²+y² dady x² + y²

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

A: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

Q: (b) Let A₁, A2, · · ·, №46 be the roots of 2¹ 1/46 that 46 Σλ = 0 i=1 . Show

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Q: Evaluate: ffefdxdydz

A: Given integral as∫01∫eez∫1yezxy dx dy dz

Q: Consider the following nonhomogeneous system. Find the eigenvalues of the coefficient matrix A(t).…

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Q: Evaluate : p.v x2 ∞ (x²+3)² dx

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Q: Find a basis for the subspace of R4 spanned by S. S = {(2, 5, -3, -2), (-2, -3, 2, -3), (1, 3, -2,…

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Q: E be a subset of a normed space X and Y = Span E and a € X. Show that Let a € Ỹ if and only if f(a)…

A: To find: a∈Y¯, and f(a) = 0 whenever f∈Xι and f is 0 everywhere on E.

Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

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Q: Find the solution of the given initial value problem: y(4) + 2y″" +y" + 8y′ − 12y = 6 sin(t) +…

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Q: A solid figure projects the same shape on the x-y, y-z, and x-z view. Which of the following…

A: Here we see the shape of curve in planes.

Q: 6 Evaluate 25 ○ In O Divergent ○ In 11 ○ 6 In 11

A: We know that , Improper integral of first kind can be represented as , ∫a∞ fxdx. Let , I = ∫6∞ 6dxx2…

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Q: Consider 1 A = 2 2 1 1 3 -1 -3 4 Convert A to an upper triangular matrix U by using Gaussian…

A: We have to convert the matrix A=121213-1-34 into an upper triangular matrix U by using Gaussian…

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Q: Find the maximum value that f(x, y, z) = x² + 8y - z² can have on the line of intersection of the…

A: Given function is f(x,y,z)=x2+8y-z2 and the other constraints are g(x,y,z)=2x-yh(x,y,z)=y+3z We…

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A: From the above details we have,

Q: tissage électronique Le volume d'une boîte à base.rectan

A: From the above details we have,

Q: A student claims that perimeter is a 2-dimensional measure because one needs to know length and…

A: •A student claims that perimeter is a 2- Dimensional measure because one needs to know length and…

Q: What is the graph of r(t)=2 costi + sintj?

A: Vector-valued function : It is a function of the form  r(t)=f(t)i⏜+g(t)j⏜ or…

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Q: Find the solution of the given initial value problem y" + 12y' = 0, y(0) = −15, y'(0) = 12. NOTE:…

A: We have to solve the given problem.

Q: Show that a real vawed function & is continuous on a ret D it and only if it is Convergence…

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Q: Calculate the indicated Riemann sum Sg. for the function f(x)=15-2x². Partition [-4,6] into five…

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Q: Minimise x2+y−2xyx2+y−2xy subject to the constraint y=1

A: Given function is fx,y=x2+y−2xy and given constraint y=1. We have to minimize the function is…

Q: 1 SSR (x+y)² dxdy

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Q: Use Bairstow's method to determine the roots of f(x) = 9.34 - 21.97x + 16.3x² - 3.704x³ r = -1 and…

A: We need to determine the roots of the equation: fx=9.34-21.97x+16.3x2-3.704x3 using Bairstow's…

Q: Find the number zeroes with which the decimal representation of 700! terminates. a (a) 245 O (b) 199…

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Q: Question 2 a) b) 2z¹y Consider the function f(x, y) = ¹²- 2²-9y² Find the domain of f and provide a…

A: (b) It is given that,  f(x, y) = 2x4yx8-9y2 We have to find  lim(x, y)→(0, 0)f(x, y) or to show that…

Q: Draw the planar representation of the graph below

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Q: Q4 a) Using Gamma function evaluate b) x6e-3x dx. tre (xe"*, x>0 0, x < 0 Find the Fourier…

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Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

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Q: Work Problem 2' ;) You must provide a clear and detailed solution for each question. Question 1 4xy…

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Q: 16. find a QR factorization of the T O I Į 35 -3 1 2 ما ما له 5 5 3 2. 8 matrix

A: Using Gram-Smidth method

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A: From the diagram,  BEAE=sinθBE=asinθ and, CF=BE=asinθ and, ABAE=cosθAB=acosθ Now, area…

Q: Use the dot method to add the numbers below. If the number needs a dot, put a dot (period) to the…

A: Given: Numbers 243977641 To find: Addition of given numbers using dot method.

Q: <U. VYE= u here (, ) dem

A: Given as, E={u:o,T→ℝn u is absolutely continuous. u(0)=u(T).u∈L2o,T,,ℝN}˙ the inner product…

Q: Evaluate: f O (2-√2)T 8 O (2-√2) 4 O (√2-2)* 4 O (√2-2)T 8 -y² sin √²+y² dzdy /z²+y²

A: Sol:- ∫0π4∫0π216-y2sinx2+y2x2+y2dxdyConvert to polar coordinatesFind the radius:0≤ y≤π40≤…

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

A: To find- Use a triple integral to find the volume of the solid bounded by the graphs of the…

Q: e) Calculate Fourier series of f(x) = x²₁ -π < x < ₁ p = 2π.

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Q: Find the solution of the given initial value problem. y (4) 10y""+ 25y" = 0; y(1) = 10 + e³, y′(1) =…

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Q: Use the method of reaction of order to find a second solution of the differential equation xy" — y'…

A: The following steps are used to determine the second solution of the second order differential…

Q: $] A) Solve the IVP: 2) [30 dy (2x − 4). - 2 ln 5x + 2y = 0, y(3) = 3. dx B) Give the largest…

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