Hw.3 Find the aveas for the Following regions: - Region bounded by 2- Region bounded by and ッニメ+2 and x =2y-

Q: [2 - 3 11 c) Let A = |1 2-3 and be express as A = LU as below L4 2 01 1 3 U13 2 1 U23 [41 0 [2 – 3…

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Q: dy What is the general solution to the differential equation — 1 + бхе*-У? dx yey-x = x – 2 In(x +…

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Q: In Exercises 29-32, a solid is described along with its density function. Find the center of mass of…

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Q: Give a Taylor Series expansion of f(x) = ln(x) and use its first 5 terms to approximate ln(7). Also,…

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

Q: Determine if the set S is span set of %3D R2x2. Solution:

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Q: Find the solution. 2y dx = (x2-1)(dx - dy) %3D

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Q: Solve the system of inear equations, using the Gauss-Jordan eliination method. (Ir there is no…

A: We have to solve the given system.

Q: 2. Use zero- through fourth-order Taylor series expansions to predict f(2.5) for f(x) = ln x using a…

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Q: Determine if the vectors are linearly independent Justify your answer. 6. 12 - 36 The vector…

A: The given vectors are                                     700,    8   3-6,    9  12-36 We have to…

Q: How many permutation of the letter ABCDEFGH contain the string ABC?

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Q: 2. The linear differential equation x*dy+(2y-3x²y-x' dx 0 has the integrating factor equal to (Note:…

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Q: In the Laurent expansion of f(z) = valid in the region 1 < [z| < (:-1)(=-2) 2, the co-efficient of -…

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Q: · Let r(t) = (x(t), y(t), z(t)) be twice differentiable and let u(t) = r(t) · [r'(t) × p"(t)]. Show…

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Q: rm of the wayeform

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Q: The tanh$ (2x) sech (2x) dx is equal to O A. None of the choices in the list. O B. tanh (2x) +C OC.…

A: Given integral is  ∫tanh52xsech2xdx

Q: What is the general solution to the differential equation sin y (x + sin y)dx + 2x² cos y dy = 0 ?

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Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

A: We will convert given differential equation into linear differential equation by appropriate…

Q: Find the solution. y'-y = -xy1/2 -ху

A: This is Bernoulli type differential equation.

Q: Solve the given system of linear equations using the LU Decomposition Method. 2.)    x1 - 2x2 + 5x3…

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Q: 1. Given the series, A (2x-1)", find the radius and interval of convergence.

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Q: Se-2t if 0 3,

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Q: Translate the following sentences into predicate logic : a. All animals like honey b. At least one…

A: Use the given statements.

Q: Q2: Use vector to check whether the points A (4,3,2), B (4,3,0), C (4,0,0), and D (4,0,2) are…

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Q: Mark as TRUE or FALSE. You will need to give an explanation. (a) If v1, v2 ..., Vn are linearly…

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Q: What is the particular solution to the differential equation x + (1 + x)y = 12 with y = 0 and 2 - 0…

A: The solution is given as

Q: Compute the Fourier Transform of f(x) = e-ax-

A: Fourier transform of a function fx is defined as  Ffx=∫-∞∞fxeisx dx Gamma function =∫0∞e-x xn-1 dx

Q: d²y What is the particular solution to the differential equation x dx? dy x² with y = 0 and dy = 1…

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Q: Let fcx)=X,XE [ar} Shaw that fe Riemann Loll and find Sede

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Q: What is the general solution to the differential equation y- (9 - + = 0 ? dx In(Ay – 2) = Ax +B y2 =…

A: We have given a differential equation ,  yd2ydx2 - dydx2 + dydx = 0 This can be written as ,  y y''…

Q: ssint, 0<t < TI 0, t2 Tt , y(0) = 0 y'(0) = 0 5. Find the solution of the IVP y"+ y' +y : %3D

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Q: Determine the general equation of the plane containing the points P(1, -4, -5), 3 Q(2,0, 13) andR

A: We have to determined the general solution of the plane that containing the points P(1, -4, -5),…

Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 28 4…

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Q: 9. (a) Find the value of b when the angle between v = (b,2) and w = (-8, –6) is -. (b) Find a unit…

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Q: Find the mass and center of gravity of the lamina bounded by the r-axis, the line z = 49, and the…

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Q: Derive the formula for the False Position Method

A: Derive using the concept of similar triangles.

Q: x3+ y3 Consider lim Which ONE of the following statements is TRUE? (x, y) → (1, – 1) x+y A. The…

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Q: The domain and the range of z=cosh x+y are represented respectively by D={(x,) ER X R: and R=(- 00,…

A: Domain is set of points where function is defined , range is image set of function.

Q: Q1.In the differential equation 4(3x + y - 2)dx-(3x + y) dy = 0, we let the substitution dw…

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Q: Inn n=1 se Limit Comparison test to show that the series converges wher

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Q: Find the solution, (D3+3D2+3D+1)y = 0 A y = c,e*+ (c,x+czx²)e-* y = c,+c,e"+c;e¯ B C D y =…

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Q: Find the Taylor polynomials po, P1, P2 and P3 for f(x) = Inx at x = 1. Use a graphing utility to…

A: Answer :-

Q: .Use the Monotone Convergence Theorem to show that the (2n)! {a)" is convergent.

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Q: Find the solution. dy y dx A y = y = -x+ cx-8 y = y-2 -| 00 B.

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Q: Find the solution. y' = y - xy3 e-2x A e=x?(y²+c) (A) (в B e2 =x²(y²+c) © e2» =y²(x²+c) e2x…

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Q: 2. Rate of calorie consumption. The table below shows the number of calories used per minute as a…

A: Given the table Activity  100lb 120lb 150lb 170lb 200lb 220lb walking 2.7 3.2 4 4.6 5.4 5.9…

Q: Find the solution. dy 2y dx A y = x(x+c) B y = x²(x-c) -2 y = x?(x+c)? O y = x'(x+c)³

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Q: X(1) h(t) 2 t 4

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Q: f cxsy) Xy R:oみメーか and 三

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

Q: b) Find the angle (0) between vectors between s = [1, –5, 4] and t = [3,3, 3].

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Q: What is the general solution to the differential equation y - O + = dx? dx In(Ay – 2) = Ax + B y2 =…

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