2x + 2 dx x2 +1

Q: -2.1 1- e* Use Simpson's rule to approximate -dx. x² + 2x – 1 1.2

A: This is a problem of numerical Integration.

Q: 2. Solve the following initial value problem in terms of g(t): y" – 3y + 2y = g(t) : y(0) = 2, y'(0)...

A: We can solve this using given information  

Q: 4. Solve the particular solution of y" + 3y' + 2y = 6et, y(0) = 1,y'(0) = 2, using b. Laplace Transf...

A: Solve the differential equation, by using Laplace transferom

Q: frave that fux=X xefos4] is Rinteglable and find ff Ly

A: Given a function f(x) and consider the partition P and then calculate U(f,P) and L(f,P) and then fin...

Q: 4. Suppose you are given equations of two overlapping circles as shown below. a. Determine how to fi...

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Q: Draw the graph, expres in unit sty and find the laplace. f4) : t-4 t 72

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Q: Solve the sifferential equation using Ace Laplace transforms- y-3y'+2y=1-4X+2X y(0)=4, y'0)= 5-

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Q: Which of the following correctly sets up the integral of f(x, y) over the triangular region whose co...

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Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2 s...

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Q: Find the area bounded by the curves x²y = 4 and y = 7 – 3x. Select one: O a. 1/2 O b. 1/3 O c. 2/3 O...

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Q: f(t) = -3 e7t sin5t Show complete solution Use the Standard Formula.

A: This is a problem of Laplace transformation.

Q: SOLVE THE FOLLOWING dy dx 4x2-4x-5 2= /(x2 – 2x + 3) 2. dy 3. dx x+1 1.

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Q: 5. Find the area of the shaded sector. Round to the nearest tenth 10 38

A: Given: Radius of the given circle is 10. Angle of the sector is 38 degrees.

Q: A 20 kg object is attached to a spring with spring constant 260 kg/s². It is also attached to a dash...

A: We will start by taking differential equation generated by spring mass system and then use general s...

Q: 1. Let m*(A) = 0. Prove that for every B, m(BU A) = m*(B). %3D 2. Show that m" (A+ y) = m*(A). %3D 3...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for y...

Q: Locate all relative maxima, relative minima and saddle points (if any) for f(s, t) = 14s2 + t³ – 14s...

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Q: 5 2 -4 Is = 7 an eigenvalue of 3 2 4 ? If so, find one corresponding eigenvector. 0 1 Select the cor...

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Q: 3.3 hy grephing Solve A. Minimize C =10x +15y s,t. X+y 3x ry Zld ー2x +3y 23 x20, y 20 B. Maximize P=...

A: We have to solve the problems by graphing.

Q: Let V=R2[x] be the real vactor space of polynomials of degree most 2. B={f0 ,f1 ,f2 } where f0(x)=1,...

A: The quadratic approximation of a function f at x0 is: f(x0)+f'(x0)(x-x0)+f''(x0)(x-x0)22 = Q(x)

Q: 2. Q is an xn symmetric matrix, b is a vector of size n and c is a scalar If f(x) = x"Qx + b"x + c: ...

A: given  fx=12xTQx+bTx+c it is known that  gradient of the function can be expressed as ∂f∂xk=∑i=1nqki...

Q: Interpolate by means of Gauss's backward formula, the population of a town for the year 1974, gıven ...

A: The value of table for x and y x 1939 1949 1959 1969 1979 1989 y 12 15 20 27 39 52 Hereh = 1...

Q: To pay for an SIK,600 motorcycle, Raina made a down payment of $4700 and took out a loan for the res...

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Q: Additional Activities DIRECTIONS: Read each problem carefully and solve it using implicit differenti...

A: Given: The spherical balloon is inflated with gat at a rate dvdt=800cm3/min The speed of the ballon ...

Q: 37-52. Curves to parametric equations Find parametric equations tor thre toiowing curves. Inciude an...

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Q: Let R be a ring with identity 1 and let a be an element of R such that a2 = 1. Let S = { ara : r e R...

A: we will use sub ring test.

Q: In how many ways can two hearts be drawn from a deck of cards? (Order is not important.

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Q: Find the centroid

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Q: Multiple Choice. Write the letter of the correct answer. Kindly explain why you choose the letter as...

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Q: The intercept of a straight line on the x - axis is -3. If (5, 2) is a point on the straight line, t...

A: Given points of straight line are (-3, 0)  and (5, 2)

Q: 4 Find the area of this composite shape. 11 cm 3 cm 16 cm 5 cm 4 cm 7 cm 4 cm 4 cm

A: The area of the rectangle is  area=Length x Breadth The area of triangle is  area=12x Base x Height

Q: 1) Let a function f: [-1,1] -> Real Number be defined by f(x) = {[-1 if -1 </ x < 0]; [0 if x=0]; [...

A: As multiple questions were posted and it was not mentioned that which question to be solved, I solve...

Q: x²y" +xy' – 4y = 2x*

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Q: 2. Compute for a real root of sin Vx – x = Ousing three iterations of Fixed-Point Iteration Method w...

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Q: 2. ( Feel free to use Mathematica) Given are the matrices 1 1 5 2 2 -4 6 3 -1 2 4 1 1 -2 3 3 A = 1 3...

A:  Given: To extract the column space of the matrix individually, we'll apply row-reduction. We'll als...

Q: 3.2 A fixed point form of the equation f(x) = 0 is x = g(x) = x +1- 4xe*. Can fixed point iterations...

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Q: n Vn (k) (-1)"-1 n + 1 n=1 n Vn +1 – Vn – 1 Σ - (1) n n=1

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Q: Find the coordinate vector of v (2, - 1, 3) with respect to S = {v,, v, v} where v, = (1, 0, 0), v, ...

A: According to our guideline we can answer only one question and rest can be reposted.

Q: Find the centroid

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Q: Let R = {0, 2, 4, 6, 8}. Then R is a ring under addition and multiplication (mod 10). Find the ident...

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Q: Find by Taylor's series method the value of y at x = 0-1 and x = 0-2 to five places of decimals from...

A: given y at x = 0.1 and x =0.2  dy/dx = x^2y-1 = y'  y(0) = 1 

Q: (a) Milan is on a game show. He will choose a box to see if he wins a prize. The odds in favor of Mi...

A: (a) The probability of an event P in terms of odds in favor of the event is expressed as P=O1+O, wh...

Q: Find the approximate root of x^3+5x-2=0 by using bisection method. Typed solution needed otherwise ...

A: Given,            x3+5x-2=0

Q: Use Stokes's Theorem to evaluate JCF•dr. Use a computer algebra system to verify your results. C is ...

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Q: Perform the elementary row operation R4 – 2R3 → R4 to matrix C to obtain matrix D. -1 0 0 01 -2 1 2 ...

A: To perform row operation R4-2R3→R4 to the given matrix: 1-10002-21240101000215

Q: Let I be the flux of G = (5e", 7r e,0) through the upper hemisphere S of the unit sphere. (a) Find a...

A: We can solve this using curl F formula then for b) we can calculate double integral 

Q: ands 1. Let m*(A) = 0. Prove that for every B, m" (BUA) = m" (B). %3D %3D

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: 5. The augmented matrix of a 3x3 algebraic linear system has been row-reduced to [1 M = 0 -1 , where...

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Q: Suppose a sample of a certain substance decayed to 69.2% of its original amount after 300 days. What...

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Q: (ii) d²y Cx²e2x is the particular solution of 2 dx2 - 4y = 3e2x. Ур

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Q: Use the form of the recursive sequence and matrices to determine the closed formula for the followin...

A: Given an=an-1+3n-1........(1) a1=2.