The integral 2 X dx 2 - Vx² – 4 3 1 is an improper integral of type I (3)% is an improper integral of type II (-3)3 that converges to 4 that converges to

Q: 2.4 In the diagram below, O is the centre of the circle and PTRS is a cyclical quadrilateral. Prove…

A: Let O is the centre of the circle and PTRS is cyclical quadrilateral  We have to prove  angle RPT +…

Q: 1. Algebra: Compile 1 application problem for introduction to algebra with solutions and correct…

A: Question Let  x = 2 and y = 7 then find the value of y - x

Q: The integral X dx x² – 4 3

A: Solution

Q: R. 4, = U, - sin x cos t, :>r > 0 B.C.: «(0, t) = 0, 1.C.: u(x, 0} = 0, 1,(x. 0) = 0

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Q: 1. (0, {a}) | (∞, {b}) | (∞0, {c}) (3, {a}) | (2. {a}) (3. {a}) (3. {a}) (0, {d}) (4. {a}) (4, {a,…

A: We will use the basic knowledge of Dijkstra's algorithm to answer this question correctly and…

Q: Let Lin{u} =U, Lin{w} = W, where %3D %3D 3 u = w = Mark only correct statements. O a. The matrix of…

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Q: C.CE diff. eqs. 8. x³y" +x² y" – 2x y' + 2 y = x³sinx

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Q: Determine the real roots of f(x) = -0.5x² + 2.5x + 4.5 Using three iterations of the bisection…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: By fixed-Point Iteration, evaluate f(x)=x² -x-e*starting at x1 = 0.

A: Solution:-

Q: The indicial equation of the differential equation x2y" – x²y' + (1 +x)y-0 is: O r(r-2)=0 O…

A: Here we use basic formula of indicial equation

Q: 2n+1] + 3n (-1)" 4n n=1 3.

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Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate dx 1) S, n = 4 1+x²

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Q: the Area that lies inside r=3+2 sin 0 out side r=2 is -24.187 -23.957 23.957 24.187 24.315 Evaluate…

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Q: 9. If a, =1.57, a, -(-1) -11. b, --)" f(t) and period f(t) =f(t+4) up to n=2 is then the Fourier…

A: Fourier series of the function

Q: Evaluate: e da using 1/3 and 3/8 Simpson's rule. Round off to 6 decimal places.

A: Using Simpsons 1/3 and 3/8 rule with 6 decimal places

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A: (a) Number of video games sold in 2021 is between 800 and 1000. From the graph, we can estimate that…

Q: Consider the equation surface S in the three dimensional space given by the equation X = z2+2 (a)…

A: Given the surface S in the three-dimensional space given by the equation x=z2+2. (a) The graph of…

Q: Find the all the roots of f (z) = 5z² – j11z – 2.

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Q: a) A = (1 - 2), B= b) A = B = (3 -7) 2 2 8 A = B = о 11 c)

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Q: We consider the linear transformation T1 : R3 R 3 T1(x,y,z) = ( x +2y –z , x –y +2z , x + 3z) We…

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Q: Prove by Induction that (3i- 1)(3i+2) = 3n° + 6n2 +n for n 21 %3D

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Q: Give the adjacency matrix of the graph below.

A: The entries of the matrix are the number of edges from a vertex to another vertex.

Q: For the given periodic function give the analytical description of f(t) for the range 0<t<2: -2 -1…

A: Analytical description of f(t)

Q: (1 3 1 2 2 A = 2 3 1 B =1 4 2 2

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Q: Use the method of asymptotic expansion to find the asymptotic solution of the differential equation.…

A: We will use the basic knowledge of ordinary differential calculus to answer this question completely…

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: 1. True or False a) If A is an mxn matrix, such that Ax=0 for every vector x in R, then A is the mxn…

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Q: (a) (: For the function 2 0 <t < 3 f(t) = (e2 – 3)? t 2 3 use the definition of the Laplace…

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Q: 19. Find the general solution of the system of differential equations (2)-( )(:) Sketch the phase…

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Q: 6. y" + 3y'-2y e-2* [(4+20.x) cos 3x+ (26-32x) sin 3x]

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Q: Find the Fourier series for: 1 f(x) if – n<x< 0 if 0 < x < n -1,

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Q: 10. If it is known that the periodic function f(t) contains even harmonics only, which Fourier…

A: Given:If it is known that the priodic function f(t) contains even harmonics only

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Q: Find the directional derivative of in the direction of the vector (1,3) at the point (-1,2)

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Q: 4. Consider the figure below. y= 4 x Find the volume of the solid generated when the shaded area a.…

A: We will draw solid of revolution and then draw corresponding ring  or shell to use integral for…

Q: 10. If it is known that the periodic function f(t) contains even harmonics only, which Fourier…

A: Let us consider a function f(x)  in the interval [-L,L] such that function is an even periodic…

Q: 1. Solve the given equation using Simpson 1/3 rule and Simpson -2x+4 1/3 rule composite solution…

A: It is a Numerical Analysis problem. Let us use composite Simpson's 1/3 Rule to find the solution of…

Q: . (1 + j3)z² + (5 + j6)z +7 – j6 = 0

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: We have to use Langrages Multipliers Method to find the minimum distance from (0,c,0) to a point on…

Q: Find a series solution about the ordinary point 0 of the differential equation y" – xy' = 0. wwww w…

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Q: Solve the integral equation X = Jo e*-fg(t) dt.

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: Let us consider the curves x2 +y2=4,       x=0,y=0.   The area bounded by the curves is the region -…

Q: az dz Suppose z is a function of r and y, and tan vy? +x2 3D "e6y. Solve for and

A: If x, y, z are related with the equation  fx,y,z=0then ∂z∂x=-∂f∂x∂f∂zand ∂z∂x=-∂f∂y∂f∂z

Q: d- Simpson 3/8 rule.

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Q: From the particular solution of the DE y" + 2y' + y = x at x = 0, y = - 2,  y' = 2, obtain the value…

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Q: Evaluate the surface integral ff, F · dS for the given vector field F and the oriented surface S. In…

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Q: 4 The integral " L* 1 dzdodr can be used to find the volume of a cylinder. Select one: True False

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Q: Using the method of undetermined coefficients, the form of y, of the differential equation: y4) -…

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Q: of the solid in revolution as it axis and the function 2 – x) 0<x< 2

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Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p…

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