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Q: Find the null space of matrix A which is 1 3 13] 7 3 8 A =-2 -5 -3 0 3 2 6. 24 3 13 1 2. 6 3.

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Q: Suppose that we have measured four data points (1,1,1), (1,2,0), (3,-1,0), (0,0, 1) and the our…

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Q: Solve the following equations: 7x1 – 4x2 + x3 = 1 -4x1 + 6x2 – 4.x3 + X4 = 1 Xi-2 – 4xj-1 + 6.x; –…

A: We have to solve the given equations.

Q: Figure Q1(a) and Figure Q1(b) (refer to each student's attachment) illustrate the signal x(t) and…

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

Q: There are four vectors (1,2,3), (1,-1,2), (2,4,6) and (2,6,c). If there is a condition in which the…

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Q: ---A 2 Let aj 1 and ag -10 The set {a1, az, ag} will span R unless h

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Q: Find the exact arc length of the curve over the stated interval. 1 -4, from y = 1 to y = 2 12 NOTE:…

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Q: Example 1.2 (e) Determine if the following series is convergent or divergent. In n b) d) E S (n+1)…

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Q: Solve using the method of undetermined coefficients y'''+8y= 2x - 5 + 8e^-2x ; y(0) =-5 , y'(0)=3 ,…

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Q: Q3: Determine if the following differential equations are exact, and find its general solution.…

A: It is given that the differential equation is cosxsinx-xy2dx+y1-x2dy=0. We have to check whether the…

Q: Inapezoida Caraclare using anol Simpson methods : STx-i dk Exereises Hee integrals X2 X3 メ2 Xy 2.…

A: Part(1) We have to evaluate ∫15x-1 dx and n=4 Here y=x-1 Now,  h=b-an=5-14=1 For, x=1 we get y=1-1=0…

Q: Consider the matrix transformation T : R² – R* with standard matrix 1 Which one of the following…

A: Here given transformation is from R2 to R4

Q: Given the following: g(x) = 2 + x - x², [a,b] = [0,3], p = 1 a. Verify that the two conditions of…

A: Intermediate value theorem

Q: Integers a and b are such that (a+3-5)² + a- b,5 = 51. Find the possible values of a and the…

A: Note: It is assumed that the equation is a+352+a-b5=51.   It is known that x+y2=x2+2xy+y2.

Q: Q) find Fourier series on [-n,7] (3) ƒ(x)=cos x COS X (4) ƒ(x)=xsin x (5) ƒ(x)=xcOs x - T < x< 0 (6)…

A: Since you post more than three subparts, as per our guideline we can solve only first three…

Q: Let T: P2 → P, be the linear transformation such that T(2x) = 2x2 – 3x, T(0.5x – 4) = -2x² – 4x + 3,…

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Q: 12. The cables of a suspension bridge are in the shape of a parabola. The towers supporting the…

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Q: -2 4 -1 2.5 -1 2 2 -20 8 -16 -1 is a matrix of a linear transformation T : RK → R". a. Find k and n.…

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Q: 1+1

A: Given,              1+1

Q: Let f : R2 → R' be the linear transformation determined by f(x) = Ax where -2 -6 A = -3 5 -4 a. Find…

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Q: Q2: solve the following Linear programming problem using graphical method * Maximize (total profit)…

A: The given linear programming problem is…

Q: 88+88

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Q: 6. Evaluate the integral! ~ 0.7 c0.6 e* sin y dy dx 0.2 (i) Using the trapezoidal rule in both…

A: Given that,      ∫0.10.7∫0.20.6exsinydydx∴ ∆x=0.1=∆y⇒∫0.10.7exdx∫0.20.6sinydy xn ex exsiny 0.1…

Q: Let V = R-X2 be the vector space of 2 x 2 matrices and let L : V → V be defined by -9 3 L(X) = -3 X.…

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Q: The absolute maximum and absolute minimum value of x2 the function f(x) = 5x – 5 in [-2,6] is: 2

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Use the…

Q: 8. Consider an 11-member committee that must choose one of three alternatives: X, Y, or 2. Their…

A: Given: The preference schedule,   Column 1 Column 2 Column 3 Column 4 Column 5 Column 6 1st…

Q: nan = 2 ,nb, = 0. Determine whether the following converges or diverg or no conclusion can be made.…

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Q: Test MCV4U Curve Sketching Problem 1.Sketch the function fx) = x' - 6x + 9x, indicating any extrema,…

A: To find the graph of the function and indicate the point of inflection and extrima .

Q: Find the Laplace transform of the following function. That is, determine coefficient I f (t) = 6e…

A: We first determine the Laplace transform of  f(t)=6e-5t+e3t+5t3-9. And form of F(s) is given. We…

Q: Prove that the function f = (sin kæ)(sin my)(sin nz) where: k, m, n are constants 82 + dx² ' Sy? '…

A: f(x) is an eigen function of an operator F(D) if  F(D)f(x)=kf(x),      where k is a constant, known…

Q: 2 11 -10 -9 -8 -7 -6 -5 /-4 -3 -2 -1 2 3 4 5/6 7 8 9 -2 The curve above is the graph of a sinusoidal…

A: Find the sinusoidal equation of the given graph. The general equation for the sinusoidal function is…

Q: Q3) If f(x – y,x + y) = 2(x² + y²) prove the following: af (x,y) af (x,y) 2(x +y). %3D ax ду

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Q: Consider the matrices 1 0 0 0 0 1 1 1 A 2 0 0 1 0 0 B = 0 0 1 1 1 0 0 0 1 18 5 1 -7 8 C = 0 0 1 0 0…

A: We know, a matrix is in reduced row echelon form(rref) if, 1)In each row first non zero term should…

Q: 2. State sec(cosec) in terms of x. Hence solve the equation 1 sec(cosec) 2х

A: We have to find value of x for given Equation.

Q: 5. Let U and V be the relations in R defined by U={(x,y):x² +2y=5} and ={(x,y):2x-y=3}. a) Find VoU.…

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Q: ts no real number x such that x6 +x* – 2x² + 1 = 0

A: solution

Q: Find the polynomial that fits the set of points given below 66 10 А) X3 — 0.5х2+ 6 B) X3 + 2 С) X —…

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Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm'. What…

A: We have to find the dimensions which will maximize the volume.

Q: Use the data of the table below and Newton's divided difference formula to compute f(1.63) I 11 12…

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Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eª.

A: Here we solve the differential equation using variation of parameter.

Q: why ピs{oッ| is Cupve?

A: Solution

Q: The tangent planes to the ellipsoid =1 meets %3D 62 the coordinate axes in points A, B and C. Prove…

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Q: 4. You put 5000 dollars in a saving account that pays 2.5 percent interest annually. What is the…

A: From the given information, the principal is P=5000, interest rate 2.5% and the time is n years.…

Q: A teacher needs 70 lengths of string to cut 3/40cm each.If balls of string are 10m long how many…

A: The total number of strings and the length of each string can be used to determine the total length…

Q: An engineer found that by including small amounts of a compound in rechargeable batteries for…

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Q: Use Green's Thoerem to evaluate F dr. where F(r, y) = (-3Vx² + 2, 7 tan '(x)) and C is the triangle…

A: We have to evaluate by Green's theorem.

Q: Let x1 and x2 be two different solutions of the following linear equation system. Here, if x1 =…

A: Actually xd is the solution of the homogeneous system. Since x1 and x2 both are solution of the…

Q: 3. Find the series solution of x²y" + x(G+ 2x)y' + (x – )= = 0 using frobenius method

A: Given differential equation is x2y'' + x12+2xy' + x-12y=0 Let y=∑n=0∞ anxm+n  be the solution of…

Q: @ In a G Survey the 100 out-patient who reported at a hospital one dey, it was found out that 70…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Which of the following is a correct conversion formula when changing from spherical to cylindrical…

A: We know that the following formula are used to change from spherical to cylindrical coordinates:…