Pleas have a clear hand writing :)
Pleas have a clear hand writing :) Question Question 6 (1 mark) Attempt 1 Evaluate the line integral: (1,3,5) (8ysinh(4x...
Question 6 (1 mark) Attempt 2 Evaluate the line integral: (3,4) I 4sy d$+(2x2+4cosh(y+z)) dy+(4cosh(y+2) – 4z) dz. (1,0,1) Your answer can be expressed as a number accurate to five significant figures or as an expression in correct Maple syntax. For example: 5*cosh(13)/7+3*(245)/11 OR 15.91845987 OR rounded to 15.918 - 1 =
Question 7 (2 marks) Attempt 1 Change the arder of integration and evaluate the following double integral: Your answer can be expressed as a number accurate to five significant figures or as an expression in correct Maple syntax. For example: 15 (exp 1417 OR 0.608625894 OR rounded to 0.60863 l Skipped Question 7 (2 marks) Attempt 1 Change the arder of integration and evaluate the following double integral: Your answer can be expressed as a number accurate to five significant...
Evaluate the line integral: -3) ds+( dy+(y e16r +102) dz. I = C+z e16x+ 16y z e16r (0,0,0) Your answer can be expressed as a number accurate to five significant figures or as an expression in correct Maple syntax For example: 8-3*exp(-5) OR 7.979786159 OR rounded to 7.97979 | = Skipped Evaluate the line integral: -3) ds+( dy+(y e16r +102) dz. I = C+z e16x+ 16y z e16r (0,0,0) Your answer can be expressed as a number accurate to five...
Q1. Q2. Q3. Q4. Question 4 (2 marks) Attempt 1 A surface is described by the equation re10y+9y For a surface defined by a vector R(t,y)y,z(ry), the element of surface area is given by dS For the given surface, determine the cross product Each component should be expressed using the correct Maple syntax; for example, one component might be: -31+7'x exp(-11 y) The first component of the cross product is The second component of the cross product is The third...
Please help me with these questions, show working. thank you I-(8z2+3e3rcos(5y) i-( 5e3rsin(5y)) j+16xz k The vector field I is conservative, find a scalar potential function f(x.y,z) such that I grad f and f(0,0,0) 1 Your answer should be expressed using the correct Maple syntax; for example, it might be: 2*x^2"y+5*z*exp(-9*y) cos(4*z) Do not use decimal approximations all numbers must be correct Maple expressions. The scalar potential is f(x,y,z) Skipped Change the order of integration and evaluate the following double...
Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate '(17cy-3x)d3sy2 dy K anti-clockwise around the closed path C given by the curves: y=0, 1 sxs 3, r 3, 0 s0 s T, y 0, -3 sxs-1, r 1, TT2 0 2 0. Evaluate the line integral as a double integral using polar coordinates. Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368...
Please have a clear hand writing :) Question Question 14 (1 mark) Special Attempt 1 Consider the following system of autonomous ordinary differential equations, du Find the Jacobian matrix for the system of equations and determine the stiffness ratio Your answer should consist of two integers representing the stiffness ratio Stiffness ratio: Skipped : Skippecd Question Question 14 (1 mark) Special Attempt 1 Consider the following system of autonomous ordinary differential equations, du Find the Jacobian matrix for the system...
Question 11 (2 marks) Attempt 3 Sis the surface 2 =16(r2+z2), y E[0,4]| obtained by rotating the function y= 4x about the y-axis for yE[0,4]. Given the vector field: E=(24z+6x)i+(-5y3+14yz)j+(6z-24x)k, Calculate the outward flux of E through surface S. That is find EdS J = S Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 JE Skipped Question 11 (2 marks)...
Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate anti-clockwise around the closed path C given by the curves: Evaluate the line integral as a double integral using polar coordinates. Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 KSkipped Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate anti-clockwise around...