17. The inverse of matrix a. Matrix 11 Matrix 1 1/2 | =11 b. 0 c. Matrix ₁ d. Matrix ¹

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A: Let u=u1,u2,⋯,un and v=v1,v2,⋯,vn be two vectors in ℝn. The sum of vectors can be defined as…

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A: finding laplace transform of above function f(t)

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A: Given that: Set of data points=ti,yi, t y 1 10 2 5.49 3 0.89 4 -0.14 5 -1.07 6 0.84…

Q: Example 1: Find the root(s) of the function f(x)=x²-2.5x+1.5625 to s=1x10-6. Solution: Check the…

A: Given: f(x)=x2-2.5x+1.5625 To find: Root of the given function using Newton-Raphson method.

Q: 1.. Find the first fundamented fance of the Cyclinder Flur) - acourt + asiaci tuk ا

A: To find- Find the first fundamental form of the cylinder r→u, v = acosvi→ + asinvj→ + uk→…

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A: Let us solve the triple integral in the next step.

Q: 20 23 12 25 14 27

A: Given as,

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Q: Determine all the eigenvalues of the matrix G given below. Hence, obtain an eigenvector…

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Q: 2: Use the Bisection method to find p3 for the following functions (a) f(x) = √x - cos x on [0, 1].…

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Q: 0.5 a= 5 -0.5 2 For the above plot of the ellipsoid ()² + (†)² + (-)². a, b and c are positive…

A: Answer from the figure.

Q: The solution of the following separable differential equation exy=ey (1+e-²x) is dx

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Q: > Solve the non-exact differential equations (Apply Rule III) 1. (x² + y² + 2x)dx + 2ydy = 0 [Ans.…

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Q: [2 3 7 10 Let A = 2 4 -27 -4 . If we let x be a positive integer, and we calculate A* = -6 a d b C e…

A: solution is given below:

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Q: k The mean score on a set of 15 tests is 75. Suppose two more students take the test and score 68…

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Q: f(x)= x³ -0.73x² - 44.0085x + 100.387125; [1.75, 3.25]; € ≤ 0.029

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Q: Let B be a basis for a vector space V. Then vectors u, v, w in V are linearly independent if and…

A: Let V be a vector space of dimension n with basis B=b1, ⋯, bn. Let u=u1b1+⋯+unbn, then the…

Q: of R4. Create a basis for U. Consider the subspace X = U = = span{ 2 B 1 08- ‚x}

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Q: The quantity of the demand per month of a certain accessory is related to the price (in pesos) per…

A: Introduction: Differentiation has a wide range of applications in many fields of mathematics. One…

Q: Question 1 by the vector equation Let C be a curve defined ·7· r(t)= <4t³ – 8t, 4t³ + 5t, e4t³-8t.…

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Q: Evaluate: Jo J O (2-√2) T 8 O (2-√2)= 4 O (√2-2)x 4 O (√2-2) T 8 5/1 -y² sin √²+y² dzdy /z²+y²

A: To Evaluate: ∫0π/4∫0π216-y2sinx2+y2x2+y2dxdy.

Q: Evaluate O In O Divergent ○ In 11 ○ 6 In 11 6 dz 2²-25

A: In this question,  we have to evaluate the integral  ∫6∞6x2-25dx.

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A: Given C[a, b] is vector space of all continuous real-valued functions on [a, b].

Q: let G be for an an integer nyo. the map an : from G into G. Characterize the kernel of & Show that…

A: Introduction: In group theory, the Abelian group is very important. When a group follows the…

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Q: a)!^ 1. Evaluate the integral 4x - 1 (x + 2)(2x − 1) dx. - la

A: As these questions are not interrelated, these are considered as different questions. As per our…

Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

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Q: -. Determine all the values of 1^(sqrt of 2). a. sin (sqrt of 2 kpi) + i cos (sqrt of 2 kpi) b. cos…

A: Follow the steps.

Q: Evaluate: S ○ (2-√2) T 8 O (2-√2) T 4 O (√2-2) T 4 O (√2-2) T 8 16 sin √²+y² dady -y² sin [x² + y²

A: Option (B) is correct option.

Q: Let n be a nonnegative integer. Express each sum in closed form (without Zor ellipsis) by using…

A: Introduction: The binomial theorem is one of the most important and applicable theorem in classical…

Q: A motion has R++) = (3.8m (347) 2² + (3 cos (3+));²³² + 3 +K A at time + -4 is. A vector dan gend to…

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Q: Evaluate: So SY SY ㅇㅎ 01 21-13 dyde O-3 이용 2 12+y2

A: To Evaluate: ∫03/2∫x/32x-x2dydxx2+y2.

Q: 0.5 a= 5 -0.5 xb= -1 T For the above plot of the ellipsoid ()²+(H)² + (-)². b a, b and c are…

A: From given figure,  range of the elliptical shape( in three dimensions space) on x - axis is from -1…

Q: Integrate: f (2x²-10x+15) 22 50 tôi dx

A: ∫(2x2-10x+15)x2-5x+6dx=∫2(x2-5x+6)+3x2-5x+6dx=∫2dx+∫3x2-5x+6dx

Q: Consider the equation d'y da² +y = 3x², with the boundary conditions (0,0) and (2.31145, 4.62291).

A: To Solve: The given differential equation d2ydx2+y=3x2, with boundary conditions (0,0) and…

Q: Let A=(a)n be symmetric and positive definite. Show that A is nonsingular.

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Q: 3. In evaluating a double integral over a region D, a sum of iterated integrals was obtained as…

A: The given integral is ∬Df(x,y)dA=∫01∫02yf(x,y)dxdy+∫13∫03-yf(x,y)dxdy. (i) We need to sketch the…

Q: Find the limit, if it exists, or show that the limit does not exist. x² - 3y² lim (x,y) (0,0) x² +…

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Q: 5. Solve for one value of x in x cubed - 8 = 0. a. 1 + 1 sqrt of 3 b. -3 c. -2 d. -1 - sqrt of 3

A: To find- Solve for one value of x in x3 - 8 = 0 1 + i3 -3 -2 -1 - 3   Formula Used-  a3 - b3 = a…

Q: Present a second order differential equation. Identify the corresponding auxiliary equation.…

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Q: Find all prime numbers between 130 and 230.  Show using the Seive of Eratosthenes.  Show table.

A: Let us make a grid that has numbers from 130 to 230 130 131 132 133 134 135 136 137 138 139 140…

Q: Find the solution of the given initial value problem: y(4)+2y" + y = 9t + 2; y(0) = y'(0) = 0, y"(0)…

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Q: - Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e¯¹²-y²…

A: The given problem is to find the 1st and 2nd degree taylor polynomials for the given function at…