T is a linear operator and T: (a,b) → (2a,4b) a) Explain the geometric meaning of the eigenvalues. b) Explain geometrically the Eigen spaces of the linear transformation

Q: Use Laplace transform technique to solve the initial value problem y' + By = g(t), y(0) = C 0 0 ≤ t…

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Q: 7. According to Pascal's triangle, what single in the form of this equivalent to expression t15,6 +…

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Q: Use Laplace transform technique to solve the initial value problem y' + By = g(t), y(0) = C 0 0 ≤ t…

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Q: Estimate the number of degrees in the angle.

A: The angle is little more than the straight angle. The measure of straight angle is 180°

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A: This is a problem of Volume of rotation.

Q: 20. Find the volume of the parallelepiped with adjacent edges u = (-2, 0.75, 4), v = (6, -0.3, 8),…

A: Solution :

Q: = ²/² ( e ² + e^²³) 3. Obtain the Maclaurin series for cosh x using the fact that cosh x =

A: We have to find Maclaurin series for the function cosh(x).

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Q: plz

A: We use Kuratowski's theorem.

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A: True....I attach the explanation...I hope it will help you...

Q: x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

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Q: The following table shows the distribution of household incomes in 2010 for a sample of 1,000…

A: We can solve this using given information

Q: 4. Given the matrix C = 463 9 -2 5 5 1 12 48 -3 find bases for both the row space and column space…

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Q: Find the area of the surface generated by removing about the x-axis the upper half of the ellipse…

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Q: What is the volume in cubic units of the solid formed when the region bounded by (x-1)^2 = 20-4y, y…

A: 1st we will draw region bounded . Then rotate the region about x=1 to create solid and use…

Q: Find the Inverse Laplace transform of F(s) = 8Bs 7C (s + 3) (s - 4) (As − 1)

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Q: Use a backward difference to approximate the derivative of f (x) = cosh x at x = 2 using h = 0.01 O…

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Q: What is the center of gravity of the solid formed when the plane region bounded by 2x+y-2= 0, y = 0…

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Q: f(t) = 0, 0<t <2 otherwise

A: The given problem is to sketch the given function and convert in terms of unit step function and…

Q: Determine whether the following is a semigroup, monoid, or a group. 1. G=Z, a*b = a + ab 2. G=2Z,…

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Q: -91 Let y = -3 and u = and 2 orthogonal to u. x₁ = 4 -2 Write y as the sum of two orthogonal…

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Q: Let Xis Hilbert Sface and T, SEBO), 2 EF then @+*|| = \|TI|

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Q: Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 J= exp(-x² exp(-x²)dx [ Note that…

A: Given, we can write it as: J=∫01e-x2dx we have to evaluate J by using Trapezoidal rule when n=20.…

Q: 14. A constant force of 10 newtons is being applied at a constant angle of 45° on an object at the…

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Q: Let v1 = (1,2,1), v2 = (2,9,0), v3 = (3,3,4) . Show first that S= {v1, v2, v3} is a basis for ℝ^3.…

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Q: would you solve this?

A: Given,       f(x)=x2-x-20, and g(x)=x2-8x+15

Q: etermine two coterminal angles (one positive and one negative) for each angle. Give your answers in…

A: The given angle is 3π4 to find the positive coterminal angle add 2π 3π4+2π=11π4 to find the negative…

Q: Find (if possible) the two linearly independent solution series for the equation: xy" − y' + 4x³y =…

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Q: Find the inverse Laplace of Find the solution of the DE using Laplace Transform y" - 4y +4y=cos(t);…

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Q: f(t) = 0, -2, 0<t<5 5≤t<7 t≥7

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Q: - Using Limit Comparison Test show that this series converges when x = -2.

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Q: Solve the non-homogeneous linear recurrence relation. (note: the non-homogeneous part is a constant…

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Q: 8. The specific solution of a state space equation is given below. Express the solution Q terms of…

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

Q: Describe the difference between Trapezoidal rule and Simpson's Rule of Integration.

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: e given initial value problem ㅠ + cos(3y) dy = 0, y (7) = 3

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Q: Evaluate J by means of Simpson's rule with n = 2m =20 and h =0.05 J= exp(-x²) dx Answer in 4 decimal…

A: f(x)=exp(-x2)h=b-an=1-020=0.05 table for x and y value: x 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4…

Q: (c) Provide a hand-drawn sketch of E. Emphasize the traces obtained in (a) and label important…

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

Q: 5. Find the coordinates of the points on the cross sectional curve of the intersection of the cone z…

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Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2 and y = 2x…

A: The given problem is to find the volume of the solid bounded by given curves y=x2 and y=2x and…

Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

A: We can solve this using shell method

Q: 9. The inverse of an element a of Z under the operation * defined as a*b = a + b - 1 is A. a - 2 C.…

A: Solution :  Options (B) is correct

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(7y) dy =…

A: Here we use basic integral to find the solution.

Q: 2.Evaluate the following integral: √3x² cosxdx (d) single application of Simpson's 3/8 rule.

A: Here we can take N=6 ,that is number of interval =6. Then we can use Simpson's 3/8 rule to find…

Q: How many years will it take $5,000 invested at 8% simple interest to double? How long will it take…

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Q: 2. Which of the following operations is associative on Z? A. a*b = a b C. a*b = a B. a*b = max (a,…

A: Solution :  Options (c) is correct

Q: 23. Which of the following is/are true among the Graphs A, B, and C? A Only Graph B is a subgraph of…

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Q: Let f be a bounded function on [a, b]. Show that f is integrable on [a, b] if and only if there is a…

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Q: 11. Which of the following is a subsemigroup of (Q,*) where a*b = ab/5? A. (Z, *) C. (Q+, *) B. (Z+,…

A: Subsemigroup: A subsemigroup is a subset of a semigroup which is closed under the semigroup…