From the table find f(0) using interpolating of Lagrange polynomial X -1 0 2 Y=f(x) 2 5 1 O -1 O o O 2 O -20 -1

Q: Q3 Find the area inside one leaf of the three leaved rose r-cos30 (upper limit = -1/6 and lower…

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Q: 23// Use Newton-Raphson Method to solve f = -x²+x+0.75 for 5 iteration (choose 4-decimal places).…

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Q: Find all local maxima, local minima, and saddle points for f(x₁, x₂)=x₂₁²-3xx₂²+x₂¹. 3 3 3 3 (a)…

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Q: (d) Let (A, B) be a minimal realization of H(s). For any feedback gain matrix K, (A-BK, B) is a…

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Q: 16) Consider the oriented curve C, boundary of a region D, given by C = C₁ UC₂, where C₁: y=x² y C₂:…

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Q: (5) Alice and Bob agree to use the prime p = 2663 and the base a = 5 for communications using the…

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Q: The integeral S 0 S cos tdt for x = 0.9 is approximately equal to 0 (Type an integer or a decimal.)…

A: Given: ∫0xcost2dt To find: The value of integral given integral when x=0.9 using appropriate series.

Q: Q4 Find the area of the region that lies outside the circle r-1 and inside the cardiod r=1-cos (

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Q: Consider the following linear transformation and basis. T: R² R2, T(x, y) = (5x - 2y, x), B' = {(-2,…

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Q: * find f(3) from the following table by Lagrange polynomial X 2 2.5 4 Y=f(x) 0.5 0.4 0.25 0.264 O…

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Q: sing the Buchberger's Criterion, determine whether the following sets ner bases for the ideal they…

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Q: Find the solution of the given initial value problem. 10 y = =y= - cos t t-10 ¹ Y(T) = 0, t y(t): =…

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Q: Evaluate the following dx (x - 1)(x − 2)(x-3) integral J

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Q: (1) 1 = (2) 1 = √ z²dz, C: z(t) = t² + it (0 ≤ t ≤ 1) zdz, C:z(t) = t² + it (0 ≤ t ≤ 1)

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Q: 2. The complement of a graph G = (V, E) is the graph G = (V, E) where E = {{x,y} | x, y = V(G),…

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

Q: Problem: Minimize z = 2x + y subject to 3x - y ≥ 12 x + y ≤ 15 x ≥ 2, y ≥ 3 Solve this using the…

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Q: The substitution y = xv(x) transforms a homogeneous equation into a separable equation. The latter…

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Q: -4x Give the form of a particular solution of y"" + 2y" +9y' + 18y = 3e + sin(3x) - 3x. (Hint: y =…

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Q: Solve the IVP: y'' - gy y(0) = 0, y'(0) = 0 {} 6 0 3

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Q: If [ f(x)\dx<∞ show that limf(x)dx=0 k→∞00 1

A: We have to prove that given expression.

Q: B) Find derivative of the following function d -6tanx dx

A: to find ddx6tanx assume y=6tanx

Q: Q Using the very simplex method, all optimized for the following linear programming distributor Min.…

A: The given L.P.P problem is                                  Min z=20 x1+15 x2subject to        2…

Q: EXAMPLE 4 Only One Sen Solve xy" + y = 0. US

A: The given differential equation is xy''+y=0............(1) To find: the solution of the given D.E by…

Q: Q4: Find all Taylor and Laurent series of f(z) = -2z+3 z²-5z+6

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Q: B- for the function below, the domain and the range is respectively −2+√1-x

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Q: Find the derivative dv/dpsi of v(x) V()| V(vi) where V(y) = (1 - e-√2 and 16 V (vi) = (1 - e-√2…

A: Given v(ψ)=VψVψi           (1) where Vψ=1-e-16π3ψ2 and Vψi=1-e-16π3ψi2 Since ψi≠ψ and ψi is the…

Q: Solve the Boundary Value Problem yet(x, t)=9yxx(x, t), 00 y(0,1)= y, (3, t) = 0, >0 ye(x,0) = 0,…

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Q: (x² - 4xy - 2y²2) dx + (y² + 4xy - 2x²) C

A: given ODE x2-4xy-2y2dx+y2+4xy-2x2dy=0

Q: 4. R= {(x,y) x + y ≤ 8} reflexive irreflexive symmetric asymmetric anti- symmetric 1. 2. 3. 4. Which…

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Q: Q11/ Use faylerseries method to solve the init al value problemand find location error I y(0)=1,…

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Q: 1. The following frequency distribution of marks has mean 4.5. Mark 1 3 Frequency 2 6 (a) Find the…

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Q: To pay for his debt at 12% compounded semi-annually, Reyvan committed for 8 quarterly payments of…

A: Given compounding period = semi annual nominal interest rate = 12% payment period = quarterly total…

Q: EXERCISE 3.2 A parametric surface is P(u, w) = [0.5(1 − u)w + u, w, (1 − u)(1 − w)]. 0 ≤u, w ≤ 1.…

A: We have  parametric surface is P(u, w) = [0.5(1-u)w+u, w, (1-u)(1 − w)]. 0≤u, w≤ 1.   We have to…

Q: Find the general solution to the following differential equation by using method of undetermined…

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Q: hand written plz uchberger's Criterion, determine whether the following for the ideal they generate.…

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Q: Consider curve C which is the intersection of the surfaces shown in the attached figure. y + 3x = 2…

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Q: sin(0-a) + 3 sin 0+ sin(0 + a) cos(-a) +3 cos 0 + cos(0 + a) (i) Prove that =tan 0 for all values of…

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Q: Determine the ordinate of the centroid of the area bounded by the curve x^2 =8y and the line 2x-y=0

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Q: Determine the angle between the two vectors: x = ai+bj+ck and y = di+ej+k where a = 2, b = 5, c = 1,…

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Q: For the shown function, calculate the location of for the shaded region. Express your answer in…

A: x- is the x coordinate of centroid

Q: Q2// Use Euler's method (with all details) to find approximate value of y when dy = 2y - 2x² -3,…

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Q: 3(b). FF as defined above, a misguided professor claims that for any losed curve C, F. dr = 0…

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Q: Use Euler's method (with all details) to find approximate value of = 2y - 2x² -3, given that y = 2…

A: Given y'=2y-2x2-3 , y(0)=2 , h=0.3. We find y(3) by using Euler's method.

Q: Ecx) = sinh x X X è -èx e +---)-(1-X + X ²121 - X²/31 - + (1 + x + X/21 + X/31 2 2x+2 +2+ 3 5 2…

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Q: You are choosing between two health clubs. Club A offers membership for a fee of $20 plus a monthly…

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Q: 2. Let S be the portion of the paraboloid y = 9x² - z² with y ≥ 0. a) Provide a vector-valued…

A: let S be the portion of the paraboloid y=9-x2-z2 with y≥0 (a) provide a vector valued function that…

Q: 1.1) SOLVE xy ¹ + 2y + xy = 0 by FROBENIUS METHOD

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Q: (1) I= (2) 1 = z²dz, C: z(t) = t² + it (0 ≤ t ≤ 1) zdz, C: z(t) = t² + it (0 ≤ t ≤ 1)

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Q: Given the following three two vectors: x = ai+bj+ck; y=di+ej+fk; z = 5i-6j+4k where a=3₁b-4₁ c = -3,…

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Q: 15. A flow rate of 32 microdrops per minute on a gravity system is equivalent to how many…

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