Donio, Nidilyn (Faculty) 3:29 PM 4. 89 is decreased by 12% Donio, Nidilyn (Faculty) 3:30 PM 5. How much is 2/5 less than 468.50?

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

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Q: Consider the solid bounded by the planes: z=x+y, z=30, x=0, y=0. Determine the volume of the solid.…

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Q: Q3) Find the Area bounded by the curves y² = x and x = 2y - y?.

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Q: Giveni- The fourier Seviej a fIt)= Sin ht TT n=1,3,5,.. find: a +6

A: We know that the Fourier series of a function f(x) defined on the interval 0, 2L is…

Q: (b) lim (z.y)→(0,0) Vr4 + y3 +1–1

A: limit of the rational function

Q: O Evaluate the following integral using Partial Fractions Method: x3 + x2 y : dx x2 1

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Q: 2 -1 0 3 0 3 2 -1 If D = and E = find 1 5 6 2 0 7 1 3, G = 1 7 4 0 6 [5 4 3 -7 2 6. , find 2 0 If F…

A: The given matrices having different orders.

Q: (c) Show that the sequence is eventually strictly increasing. 13 n=1

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Q: Question 2! value problem Solve the boundary y" – 16y' + 64y = 0, y(0) = 1, y(1) = 0 %3D %3D

A: The solution is given as

Q: 2. Determine whether the linear system Ax = b is well- or ill-conditioned . You can use either the…

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Q: 1-4, apply the Jacobi method to the given system of In linear equations, using the initial…

A: As per our guidelines we are supposed to answer only one ques .  Ques 1 : 3x1 - x2 = 2 x1+4x2 = 5…

Q: Ql: Find the integration of : (, 1. S cos (3 sin x)cos (4 sin x). cosxdx 2. J Tanx sec*x dx 3. 6…

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Q: Let f be the function defined by f (x) = cos(/x). OS sin() (c) It is known that f' (x) = cos() and…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y x2,y 4.

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin 2 + 0) in…

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Q: Three coins are tossed, what is the probability of the showing at least one tail? Your answer

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Q: -4-y Evaluate triple integral , S dz dy dx .

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Q: find the ser fak Aren from the folloding 24x+32y+82-72

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Q: Q2/ Fit a second - order polynomial tó thẻ đấtă iñ the folowing ble X 6. 1 2 7 Y 8 3 4 -1 4 6.

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Q: Q1) Evaluate the integral N 4-y2 dx dy using polar coordinate

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Q: Consider the solid bounded by the planes: z=x+y, z =12, x=0, y=0. Determine the volume of the solid.

A: Volume using the triple integral in rectangular coordinates is given by V=∬∫V dzdydx

Q: Consider the solidas bound below by 3 = N3(*2+y?), above by 2-1= N=-x2-y2 Its volume v es); O The…

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Q: integral Jo Jx2

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Q: Q3) Evaluate triple integral , dz dy dx .

A: Given integral is ∫-22∫x24∫04-ydzdydx

Q: dy at the point (0,1) given the curve dx 1-y =x. Find the value of 1+y

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Q: Calculate x dy dz + y dz dx + z dx dy where is formed by the upper part of the sphere x² + y? + z2 =…

A: To calculate            ∯σ x dy dz+y dz dx+z dx dy where σ is formed by the upper part of the sphere…

Q: Q5) Find volume of body bounded by z = -y? from below and z = x? from above inside y = 0,y = x,x 1.

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Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

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Q: Show that the equation dy + 2k possesses solutions of the form E c, e cos (a,x+&,) cos (w,t+ 8,)…

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Q: A card is drawn from a well-shuffled deck of cards. Find the probability of drawing a face card Your…

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Q: If A is 3 x 3 matrix such that (A + I3)² = 0 %3D Show that: A is invertible.

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Q: [15 6 If F = |7 1 3,G = |4 0 6 [5 4 3 -7 and H = |2 1 7 4 5 1 2 5 6. ,find 2 GH HF

A: We want to find the matrices GH and HF

Q: Consider the solidas bound below by 3: N3C82+y?), above by ?-1= N @ Its volume V (s); O The height…

A: Here we will use cylindrical co ordinate  x= r cosθ , y = r sinθ , z=z    and    dV= r dz dr dθwhere…

Q: Mrs. Lopez asked a carpenter to construct a rectangular bulletin board for her classroom. She told…

A: Given : Area of the rectangular board is 12 ft. square.

Q: Exercises: 1) Determine the eigenvalues and the corresponding eigenvectors for the following…

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Q: 2) Use properties of circles, triangles and/or angles to find the following. (Not to scale). 120°…

A: Solution

Q: One letter of the name "EXTRA" is selected at random. Find the probability that the letter selected…

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Q: b) Given f (x)= In x x>0. Use differentiation to find the value of f'(x) at x= 2. Give your answer…

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Q: Q5) Find volume of body bounded by z 0 from below and z 4- y from above %3D inside y = x2 ,y = 4.

A: Volume bounded by the xy-plane

Q: Solve the following IVPS using LT method. 3) y" + 16y = 1, y(0) = 1, y(0) = 2;

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Q: Evaluate the integral dx dy using polar coordinate

A: To find the integral using polar coordinates, first we identify the region bounded by the limits of…

Q: If u = x3 + y3 where x = a cos t, y = b sin t, then %3D du dt

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Q: Consider the Solidas bound below by 3= N3(*2+y?), above by 2-1=N= -x?-y2 Its volume V (S); O The…

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Q: 1- x dx y =

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Q: Question 5. Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single…

A: To find a 4×4 matrix A with non zero entries only such that 3 eigenvectors coming from a single…

Q: If T : R? → R² is a linear transformation such that 7 (1) - 5 34 6 30 T and T 21 then the standard…

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Q: Use the Lagrange multiplier method to optimize the objective function 3x? + y? – 2xy subject to the…

A: Given f(x) = 3x2 + y2 - 2xy Constraint: x + y = 6

Q: Question 5 Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single…

A: We want to find the required matrix.

Q: Solve the equation Ax = b by using the LU factorization given for A. 4 - 4 4 1 0 0 4 - 4 4 - 4 A = -…

A: We want to find value of x and y

Q: The value of lim et3 -x tan x-cos x x2 is?

A: We want to find limit of given function