Using Lagrange's interpolation formula to fit a polynomial to the data -10 2 3 BBBBH y -83 1 12 And hence find y at x-1. X

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Q: 2. p(q Ar) -q/ -p

A: Given :         Argument is,          p=> (q Λ r).......(1)          ⌐q........(2)           ∴⌐p…

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Q: 8 6. Use the Root Test to determine whether Σ k=1 6k² 2k² +4 k converges absolutely or diverges.

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Q: Q1: A- Find the limits of the following series (-1)" ܐ R=0 22 Στη Σ iv- 6 (2n-1X2n+)

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Q: Equation d³y dy dx =pln(-5p) + 3e5p dy d5y - In(5y). = 2 cos(5y) -y dx5 dx sinh (3t-e³t)- d^ f dp4…

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Q: p⇒ (q^r) -q/ -p

A: This is a question of Logic.

Q: 2. p(q^r) -q/:: -p

A: Given : Argument is           p=> (q Λ r).......(1)          ⌐q........(2)           ∴ ⌐p To find…

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Q: x²y"-5xy' +9y=0

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Q: b) Find the volume of the solid enclosed between the cone z = hr² and the plane z = 2h.

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Q: ]] S where S is the graph of the function z = x+y+1 over the rectangle 0≤x≤ 1,0 ≤ y ≤ 1. Let F = x²…

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Q: valuate the X = (3-9) JJ²

A: We solve by using double integral.

Q: .Given an initial value problem y'= y² sin (t) with y(0)=-3. (€) 2 a. Approximate y using Euler's…

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Q: 1. Find the approximate area of the region bounded by the curves f(x) and g(x) = x¹-x. Give X +1…

A: The given problem is to find the approximate area of the region bounded by the given curves.

Q: (2i=1 αix Zi=1 f(Σ+1 aix; ) = Σ+1 af(x;) * True False Any finite dimension vector space with dim(X)…

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Q: Solve: y² + 4y = x² + ex Yc=C1+C2_ Type the letter corresponding to your answer. Yp = A + Bx + Cx² +…

A: y''+4y=x2+e-x

Q: Evaluate the iterated double integral. I 3 3y be dady A

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Q: |xiyil ≤ Six) (P) h3n-11mOal (Σκ) + (Σινικ

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Q: 2. p → (q^r) -q/:: -p

A: Given : Argument is           p=> (q Λ r).......(1)          ⌐q........(2)           ∴⌐p To find…

Q: = By using trapezoidal rule, n=2, The integral π/2 S™ sin (x) dx

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Q: J= * By using trapezoidal rule, n=2, The integral π/2 0 sin (x) dx 0.9482 O 0.9480 O 0.9481 O 0.9444…

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Q: 1 -B 1 Are u = and v= 10 0 eigenvectors of 1 02 ? If so, find the eigenvalue

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Q: Question 3 At the restaurant i 23 , they have 6 appetizer and 12 entree options. How many unique…

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Q: The following formula using to evaluate the numerical integration when n = 4 1-1 co cos x dx 0.5h…

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Q: (A) If y is (2,4......., 10) Write a program to print the values of x. √y²-3 y²-16 x = Write the…

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Q: Let the Pdf fext= then E(X) is 2 225 (30-x) 225 1021815 1522$30

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Q: 3. Which of the following integrals gives the volume of the region below the cone z = 2 - √² + y²,…

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Q: .Given an initial valuc problem y'= y² sin (t) with y(0)= -3. π a. Approximate y using Euler's…

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Q: S P 313* R

A: Consider the following figure. Here, O is the center. And ∠P=∠Q=90°.

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Q: Consider the following. -9x, x ≤ 4 f(x) = {x² - 4x +7, x>4 Find the x-value at which fis not…

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Q: Using Exact Differential Equations, solve: (x + 4x²³ siny)dx + x4 cosy dy =

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Q: 5. Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the…

A: Given that water running out of a conical funnel at the rate=1000 cu mm/sec=1 cm3/sec Base radius of…

Q: (x² + y² + 1)dx + x(x - 2y)dy = 0 2

A: Let us consider the differential equation of the form Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x…

Q: 7. A computer programming team has 15 members consisting of eight humans and seven robots. A…

A: 7. Given that a computer programming team has 15 members consisting of 8 humans and 7 robots. Also,…

Q: c) Use the cylindrical coordinates to evaluate the triple integral. 3 √9-x² x+2 √x+²y dz dy dx So So

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