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Q1. Q2. Q3. Q4. Question 4 (2 marks) Attempt 1 A surface is described by the equation re10y+9y For a su...
Question Question 4 (2 marks) Attempt 1 A surface is described by the equation 2 =6x2+3y2. aR aR For a surface defined by a vector R(x,y)=(1,4,2(0,4)), the element of surface area is given by ds =( Jo Xāj dc dy. For the given surface, determine the cross product ƏR ƏR Jo taj Each component should be expressed using the correct Maple syntax; for example, one component might be: -31+7***exp(-11) The first component of the cross product is Skipped The second...
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...
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...
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...
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 =
Pleas have a clear hand writing :) Question Question 6 (1 mark) Attempt 1 Evaluate the line integral: (1,3,5) (8ysinh(4x)+62) dx+(2cosh(4x)+5z2) dy+(10yz+6x) dz. (0,1,1) Your answer can be expressed as number accurate to five significant figures or as an expression in correct Maple syntax. For example: 5*cosh(13)/7+3*(2^5)/11 OR 15.91845987 OR rounded to 15.918 |Skipped Question Question 6 (1 mark) Attempt 1 Evaluate the line integral: (1,3,5) (8ysinh(4x)+62) dx+(2cosh(4x)+5z2) dy+(10yz+6x) dz. (0,1,1) Your answer can be expressed as number accurate to...
Question 6 6 pts Suppose that f(x, y, z) is a scalar-valued function and F(x, y, z) = (P(x, y, z), Q(2,y,z), R(x, y, z)) is a vector field. If P, Q, R, and f all have continuous partial derivatives, then which of the following equations is invalid? O curl (aF) N21 = a curl F for any positive integer Q. REC o div (fF) = fdiv F+FVF Odiv curl F = 0 O grad div f = div grad...
Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation (4+12) -CO Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax. f(t)= Skipped Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation (4+12) -CO Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax. f(t)= Skipped
Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: Find the solution of the integral equation using Fourier transforms Your answer should be expressed as a function of t using the correct syntax. f(t)- Skipped Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: Find the solution of the integral equation using Fourier transforms Your answer should be expressed as a function of t using the correct syntax. f(t)- Skipped
For the elliptic-paraboloid find the Cartesian equation of the tangent plane at the point on the surface where x = -2 and y = 1. Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax. For example: 3*x-2*y+5*z=2, or, 2*(x-1)+4*(y-2)+z-1=0, or 3*x+ 6*z=12-y, or y-x+35*(z-256)=20 Do not use decimal approximations all numbers should be entered as exact expressions, for example 5/2 2x2+y2-10-2, 0 < z < 10 2x2+y2-10-2, 0