15. Let the vector field F-2x+y+k expressed in the canonical ortho (R). Let S = {(x,y,z) R¹² + y² +² -1) the unit sphem.

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15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 1 (23.45 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 2 (16.26 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 3 (14.41 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 4 (29.15 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 5 (13.73 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 6 (20.14 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 7 (24.67 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 8 (28.84 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 9 (28.69 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 10 (20.39 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 11 (27.75 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 12 (23.45 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 13 (25.27 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 14 (35.08 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 15 (29.08 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 16 (21.61 KiB) Viewed 32 times

15 Let The Vector Field F 2x Y K Expressed In The Canonical Ortho R Let S X Y Z R Y 1 The Unit Sphem 17 (26.84 KiB) Viewed 32 times

15. Let the vector field F-2x+y+k expressed in the canonical ortho (R). Let S = {(x,y,z) R¹² + y² +² -1) the unit sphem. The fear of the we field F through the closed surface S of the sphere S is given by ff where it is the unit vector normal to the surface element d5. The result of the calculation is (a) → ∞; (b) 47/3; (c) 8π/3; (d) 1. C F-ilds, Il go.startexam.com is sharing your screen. P Stop sharing Hide

01 1. Let uy the differential form: - (-6ry)dx+(3xy-6rydy, and on the d (3ry-6x³y)dx+(y-6ry)dy. Which of these two forms of t form: differential form on R2 (b) (c) both ay and o (d) neither of these two is a differential f O PE

2 2. The integral of ey on the arc circle delimited by the points A in (1.2) and in topul to: (a) 0, (b)-2% (c) tends to oug (d) x/2 Type here to search Follower O

2. The integral of w₁ on the arc circle delimited by the points A in (1,2) and B in (3,4) is eq to: A D (a) 0; (b) -236; (c) tends to co; (d) π/2. m.azureedge.net/media/22937/a0f55004-f5e0-492d-b7a3-b4f467 ype here to search O go.startexam.com is sharing your screen El

3 3. Let i the imaginary number such that = -1. The result of the calculation of fis (a)-1; (b) cos i; (c) nothing as the calculation is impossible; (d) exp(-7/2).

4. Let un, with n E N, such that woa, with a being a real pember, and with f(x) = (x+16)/(x+7). Let (-2)/(+) The Un+1 reads: A (a) Un+1 = -n/9; (b) Un+1 = f(vn); (c) Un+1 = avni (d) Un+1 = constant. zureedge.net/media/22937/a0f55004-f5e0-492d-b7a3-b41467 e here to search O

5. 5. The integral xª-1-dx with a = -3/2 is equal tor (a) 3√ √π/4; (b)-1/2; A B (c) 4√√π/3; (d) 6. Type here to search il go.startexam.com is sharing your

6. Consider a pyramid with the following characteristics it has a spm om ABCD) length 1, and its summit 5 is such that the segment [SAL is perpendid and SA= 1. Let M a point of the segment [SC] such that w number. See a representation in Fig. 6. Consider the angle MD, which of the blowing statement is correct: (a) BMD = a; (b) cos(BMD) = 1- 1 3a²-4a+2' (c) sin(BMD) = 1+-3a² +4a +2² (d) None of the above. texnazureedge.net/niedia/22937/80155004-f5e0 492d-b7a3-b414671 gostartesam.com is sharing your s

Consider the same geometrical figure as above, with the same characteristics, and represets- tated in Fig. 6. The scalar product MB-MD is equal to: (a) a/2; (b)-3a² +4a + 2; (c) 0; (d) 3a²-4a +2. ge.net/media/22937/a0f55004-f5e0-492d-b7a3-b4f467) e to search 1 go.startexam.com is sharing your screen OP Stop sharing

8. Let x a discrete random variable that takes the following valu 1 and 2 with pas ties, and respectively. The standard deviation is equal to A B (a) 1; (b) 1/4; (c) √/11/2; (d) 0. ere to search

9. Let X the discrete random variable have the probability mass function p(X= k) = e-k/k!, where kN and A € R+, E(X) and V(X) denote the expectation value and the respectively. Which of the following statement is true? (a) E(X)→ ∞ and V(X) = A; (b) E(X) = A and V(X) → ∞0; (c) E(X) = A and V(X) = 1²; (d) E(X) = V(X) = A. Ige.net/media/22937/a0f55004-f5e0-492d-b7a3-b41467) to search O go startexam.com is sharing your s Et P

15. Let the vector field F-2x+y+k expressed in the canonical ortho (R). Let S = {(x,y,z) R¹² + y² +² -1) the unit sphem. The fear of the we field F through the closed surface S of the sphere S is given by ff where it is the unit vector normal to the surface element d5. The result of the calculation is (a) → ∞; (b) 47/3; (c) 8π/3; (d) 1. C F-ilds, Il go.startexam.com is sharing your screen. P Stop sharing Hide

The matrix A is diagonalizable. One eigenvalue has m plicity 2. Which of the following is the set of eigene (a) (b) {B} {DAD} {} (d) Lazureedge.net/media/22937/a0f55004-15e0-492d-b7a3-b41467 be here to search go.startexam.com is sharing your s e

A = V2cosx isin x 0 i sin x 0 -isinx 0 where x is a real number in the interval [0;27], and i is the complex numb i² = -1. The matrix A is diagonalizable on the following condition: here to search (a) only for x = π/4 and x = 3/4; (b) for all x € [0;2π]; (c) for all x € [0; π/4[ u ]π/4;3/4[ u ]3π/4;2n); (d) for x = π/2 and x # 3π/2. ureedge.net/media/22937/a0f55004-f5e0-492d-b7a3-b4f4671 -isinx -√2 cos x) I go.startexam.com is sharing your screen. 51 Stop sharing

12. Consider two circles C₁ and C₂; both have the same radius: 10 cm. The circles C and C overlap in such a fashion that their centers are 10 cm apart. The calculation of the surface of the overlapping area is approximately, up to one decimal: A (a) 314.2 cm²; (b) 100.0 cm²; (c) 122.8 cm²; (d) 0 since the distance between the centers is equal to the radius of each cine s://startexam.azureedge.net/media/22937/a0f55004-f5e0-492d-b7a3-b41467) Type here to search O Il gostartexam.com is sharing your B e

A R The sum Σ is equal to: 1 2" 11=1 Type here to search (a) → ∞0; (b) 1; (c) 0; (d) 7²/6. O Il go.startexam.com is sharing

A B her 10. The integral S (a) 0; (b) → ∞0; (c) 1; (d) π/2. sin x x -dx is equal to: Il go.startexam.com is shar