Let -3 -9 A = -3 -8 1 Find an orthonormal basis of the image of A.

Q: Find the arc length of the parametric curve. x = 7 cos(t), y = 7 sin(t), 24t; 0<t< T Z = L =

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Q: Compute: Ju. v| = 4 ||u||v|| =

A: Given u = 20, v = -21, w = 1-2

Q: Let W be the subspace of R4 spanned by the vectors 1 and -1 5 1 Find the matrix A of the orthogonal…

A: *As this problem is related to Orthogonal Projection, hope you know how to find inverse of a matrix,…

Q: Find the lengths of the sides of the triangle with the vertices A(2, –1,4), В(-1,2, 7), and C (5, 2,…

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A: We need to describe the graph of the parametric equation r=-18 i+(1-t2)j+t k.

Q: Q14. For each of the following convergent series, find its exact sum. Show all your work ! 3" +…

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Q: Sketch the trace of f in the xz-plane. Find the directional derivative of f in the direction of the…

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Q: Find partial derivative, zg and Zy for the following function: e 2x²+3y Z =

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Q: evaluate t-0.01, Given: 21' + 201 = 100, I(0) = 0 Round-off to 3 decimal places. Answer: 0.476

A: Laplace Transform or Inverse Laplace , solution of the intial value problem

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(2t), y(0) = 9,…

A: Solve INTIAL VALUE problem, using Laplace transferoms

Q: Find a basis and the dimension of each of the following subspaces of R" a. W1 = v: u + v = 0 and u…

A: Given :  The subspaces of  ℝ3  are given as ; a)   W1 = { (u, v, w) : u+v=0  and u-2w=0 } b)   W2 =…

Q: 6) Graph the transformation of the unit square using T(x) = Ax and A = 3 4 2.

A: We have to draw graph of the image under T of the unit square.

Q: b. Observe that the work to find f'(a) is the same, regardless of the value of a. Based on your work…

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Q: Chapter 6. Crypt-Me-Not Investments, Inc. is a new investment firm that deals exclusively with…

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Q: (-1)" Fact: the series S converges by virtue of the Alternating Series Test. n=1 According to the…

A: We have to find smallest value of N for which error is at most 0.082

Q: Suppose F(x, y, z) = (x + yz, 3 cos(xz) – 7y, 5z + eª). Suppose S is the ellipsoid y? 22 4 9. 16 k…

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Q: (x – 2)? – In x = 0, [1,2]

A: We have to find the root value by bisection method.

Q: Dêtermine the equation of the circle graphed below. 10 8. -10 -8 -6 -4 -2 2. 4. 6. 8 10 -2 -4 -8 -10…

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Q: [(VxA)• dS over the surface of a hemispherical b 2 and its circular rim if A = 3 sin()â

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Q: 6) Graph the transformation of the unit square using T(x) = Ax and A = 3 4 2.

A: Transformation of the unit square

Q: Let G =U(9) and H= (8). Explain why H is a normal subgroup of and construct the group table for the…

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Q: 10) ~p V (q ^ r) * True O False

A: 10) Truth table is given by p q r (¬p ∨ (q ∧ r)) F F F T F F T T F T F T F T T T T F F…

Q: 6. Given vectors spaces V with bases B and E and W with basis D and a linear transformation T:V→ W,…

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Q: How many terms of the series - (-38)" 00 1+ 2" n=1 are needed to compute the sum of the series with…

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Q: Q9. Find the equation of the tangent plane to f(x, y) = x ln(y) +x²y+3 at the point (x, y) = (2, 1).…

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Q: Use Laplace transforms to find the equation of the current as a function of time i(t) in a series…

A: Given that,L=0.1 HR=45 ΩC=2·10-4 FV=12 Vi(0)=0q(0)=0

Q: Petermine The sum -)サ

A: To find the sum of ∑n=0∞-1nαn+1

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Q: True or false? For all sets A and B, (AU B)' = A'UB'. %3D This can be determined by constructing a…

A: Introduction: Set is very important in mathematics. A set is nothing but a collection of objects.…

Q: QUESTION 4 a) Find the order of each element in Z15/(5). b) Find n such the this group is isomorphic…

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Q: Which of the following situation illustrates permutation? choosing to literature books to buy in a…

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Q: Suppose that f is a continuous function such that | f(z) dz = -12. Find 1*f (2") dr.

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Q: 16. Consider the function z = f(x, y) = x² + 16y² + 4. (a) What is the domain and range of ƒ ?…

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Q: Justin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for several…

A: Given- Justin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for several…

Q: To test the fairness of law enforcement in its area, a local citizens' group wants to know whether…

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Q: (a) What is the probability that boys and girls alternate in a random row arrangement of 3 boys and…

A: Given, there are 3 boys and 3 girls. and arrangement is in alternate form which may be BGBGBG or…

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Q: (n +2)!(x – 2)" (2n)! - Q7. Find the radius of convergence R of the power series n=0 1 A. R = 1 В. R…

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Q: sin x – e-* = 0, [0,1]

A: We have to find the root value by Newton raphson method.

Q: 1940 1950 1960 1970 1980 1990 132,165 151, 326 179, 323 203,302 226,542 249,633 e population in year…

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Q: (-1)" Σ 08. Fact: the series S = converges by virtue of the Alternating Series Test. n n=1 According…

A: We have to find the smallest value of N for which error is at most 0.088.

Q: Find an orthonormal basis of the plane ¤1+ 6x2 – T3 = 0.

A: Orthonormal basis of the plane

Q: Exercise 93. Use what you know in the previous problem and the fact that the vector field F is…

A: We have to evaluate ∫CF·dr  where F=&lt;excosy,-exsiny&gt; and C is rt=&lt;t,t2&gt;, 0≤t≤2

Q: be a collection of sets in S'. Show that we can express U E, as the disjoint union U, Er of sets in…

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Q: 4 0 0 12 12 12 A = 8 8 8 -8 0 -4 -4 has two distinct real eigenvalues A1 < d2. Find the eigenvalues…

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Q: etermine whether the sequence is convergent or divergent. If it converges, find the limit. In 2…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: To find- Find the volume V of the solid obtained by rotating the region bounded by the given curves…

Q: (1, y' + 5y = f(t), y(0) =0, where f(t) = 0st<1 %3D t21

A: Solve the intial value problem using Laplace transferoms