Question Electric field at a certain region of space is given as E⃗=2i^−2j^+2k^ N/C. Calculate the electric flux through the right cap of the cylinder given in the figure if R= 0.6 m ​​​​​​​

Problem The A-frame is being hoisted into an upright position by the vertical force of F = 80 lb. Determine the moment of this force about the x axis when the frame is in the position shown.

Part A - Ideal op amp circuits with a voltage source: part 1 For the circuit shown, determine V. iz. and i, when V= 2 V R = 4 kN Rg = 4 k22 and R3 = 25 kN2 Assume that the op amp is in its linear region of operation Express your answer to two significant figures using appropriate units. View Available Hints) R3 = 25 kg w 1 ix = VCC mA R = 42 w V = 2 v -V R2 = 42 Vo = V 10 = IMA Part B - Ideal op amp circuits with a voltage source: part 2 For the circuit shown (Figure 1), determine the range (ie, maximum and minimum values) of V, so that the op amp operates in the linear region. Assume that R1 = 8 kN. R2 = 8 kN. R3 = 15 k2 and Va = 10 V Express your answer in volts to two significant figures separated by a comma. View Available Hint(s) V Η ΑΣΦ UT vec ? minimum V.. maximum V. = V Submit Part C - Ideal op amp circuits with voltage and current sources Determine V. when V =3V.I, = 1.6 mA R1 = 2 ks2. R2 = 20 kN2, and R3 = 10 k12. Assume that the op amp is in its linear region of operation. (Figure 2) Express your answer to two significant figures and include the appropriate units. | View Available Hint(s) μΑ ? V. = Value Units Submit

P2 Consider the linear system of two ODES dy = Ay, dt where A= : [ -1 -2 2 -1 a Find the eigenvalues of the matrix A. [1 mark] b Calculate the bound h for the stepsize h such that h <h characterizes asymptotic stability of the zero solution when Euler's method is applied to this system. [3 marks]

need help in below tasks COLUMNA COLUMNB 1. ? = A. 4x B. 4* 2. . 3. (合) C. 4 . D. x 1- 4. = E. x2 . 5. F. 2x S(-2) dx = * - 4 In|x[ + C x c )dx = 6Væ+C S (37« + ) dx = 2(x + 3) + C ? dx = In[x] - e* + C ſ 22+3x dx = 4 mo 5(2-1)dx SO(x2 - 2 + ) dx = x(x3 - 4x + 4) + C Scot? x + 2)dx = x ? +C Scsc?x dx cotx S In(1+cos3x) dx +C In 8 32x In x1 +C 2 In 3 3 G. 8* 6. ? H. 2x 7. - = 1. sinºx 8. J. 3 sin x K. sin(3x) L. 32x 9. +C 3 ? 10. +C M. Vx2 1+cos 3x 3 2 11. +C N. xe 3 2(cos x)(sinºx) dx = 5 In (3x) 5in (3x) S +C 12. 0. dx 4 ? P. cotx 13. 3 2 Q. cotx 14. -dx =*+ S(x* – 3x3 + 2-2)dx = *(8x*–30x®+53-80) ? S dx = 4x + c +C R. 2 cotx 40 15.

P2 Consider the linear system of two ODES [ 2 -1 1. dy 1 Ay, where A= dt -2 a Find the eigenvalues of the matrix A. [1 mark] b Calculate the bound h for the stepsize h such that h <h characterizes asymptotic stability of the zero solution when Euler's method is applied to this system. [3 marks]

A beam of initially unpolarized light passes through a sequence of the polarizers. The angle iz between the axes of the first and second polarizers is 16.1", and the angle between the axes of the second and third polarizers is 52.9". D What is the ratio of the intensity of light emerging from the third polarizer to the intensity to of light incident on the tirst polarizer? What is the ratio of the intensity 13 of light emerging from the third polarizer to the intensity lo of light incident on the first polarizer? 13 70