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A space curve is defined by C:r(u)--2/u!+?+8u2k, for u > 0. Find the Cartesian form of...
Question 12 (2 marks) Attempt 1 A space curve is defined by C:u)2i+u+3u2k, for u20 Find the Cartesian form of the equat...
Question 12 (2 marks) Attempt 1 A space curve is defined by C:u)2i+u+3u2k, for u20 Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u 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-2y+5'z-2, or, 2 (x-1)+4 (y-2)+z-1-0, or 3'x+ 6'z-12-y, or y-x+35 (2-256)-20 Do not use decimal approximations all numbers...
A space curve is defined by C: T(t)=(5t2+4t)2+4tj+t3k, for t> 0. Find the Cartesian form of the equation for the pla...
A space curve is defined by C: T(t)=(5t2+4t)2+4tj+t3k, for t> 0. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point P: (28, 8, 8). 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,...
Solution please, previous are wrong ! thanks A space curve is defined by C: (s)=(3s2+4)2+(s+7)j+4sk. Find the Cartesian...
Solution please, previous are wrong ! thanks
A space curve is defined by C: (s)=(3s2+4)2+(s+7)j+4sk. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where s 2 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...
Please help me with these questions, show working. thankyou A space curve is defined by C: T(s) 2si+(5s2+4)j+(s+7)k. De...
Please help me with these questions, show working. thankyou
A space curve is defined by C: T(s) 2si+(5s2+4)j+(s+7)k. Determine parametric equations for the tangent line to the space curve C at the point P: (2, 9, 8) Your answer should consist of three expressions for the Cartesian variables x, y and z in terms of the parameter t, using the correct syntax. For example: x 2+4*t, y 7-3*t, z 15+2*t Do not use decimal approximations all numbers should be entered...
For the elliptic-paraboloid find the Cartesian equation of the tangent plane at the point on the surface where x = -2...
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
Please help me with these questions, show working. thank you I-(8z2+3e3rcos(5y) i-( 5e3rsin(5y)) j+16xz k The vector fi...
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...
Q1. Q2. Q3. Q4. Question 4 (2 marks) Attempt 1 A surface is described by the equation re10y+9y For a su...
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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...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 8 cos 0-6...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 8 cos 0-6 sin 0 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box O A. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) B. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) O C. The...
11. Consider the parabolic coordinate system (u, v) related to the Cartesian coordi- nates (r, y)...
11. Consider the parabolic coordinate system (u, v) related to the Cartesian coordi- nates (r, y) by х — 2иv, y — u? — u? for (и, v) € [0, оо) х [0, оо) 1 u = 1, u 2' (a) Sketch in the ry-plane the curves given u = 2. Then sketch in 1 v = 1, v = 2. Shade in the region R the xy-plane the curves given v = 2' bounded by the curves given by...
Consider the boundary value problem (12")=-45+4 with (2)=5 and u(6)=-1 Find the functions g., and ,...
Consider the boundary value problem (12")=-45+4 with (2)=5 and u(6)=-1 Find the functions g., and , so that y = 9+Q81+ay, is the approximate quadratic solution that satisfies the essential boundary condition. Your answer should consist of three expressions, the first representing the term g, the second representing the term , and the third representing the term og. All three expressions should be expressed in terms of the independent variable x. Your answers should be expressed as a function of...
Question 12 (2 marks) Attempt 1 A space curve is defined by C:u)2i+u+3u2k, for u20 Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u 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-2y+5'z-2, or, 2 (x-1)+4 (y-2)+z-1-0, or 3'x+ 6'z-12-y, or y-x+35 (2-256)-20 Do not use decimal approximations all numbers...
A space curve is defined by C: T(t)=(5t2+4t)2+4tj+t3k, for t> 0. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point P: (28, 8, 8). 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,...
Solution please, previous are wrong ! thanks
A space curve is defined by C: (s)=(3s2+4)2+(s+7)j+4sk. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where s 2 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...
Please help me with these questions, show working. thankyou
A space curve is defined by C: T(s) 2si+(5s2+4)j+(s+7)k. Determine parametric equations for the tangent line to the space curve C at the point P: (2, 9, 8) Your answer should consist of three expressions for the Cartesian variables x, y and z in terms of the parameter t, using the correct syntax. For example: x 2+4*t, y 7-3*t, z 15+2*t Do not use decimal approximations all numbers should be entered...
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...
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...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 8 cos 0-6 sin 0 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box O A. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) B. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) O C. The...
11. Consider the parabolic coordinate system (u, v) related to the Cartesian coordi- nates (r, y) by х — 2иv, y — u? — u? for (и, v) € [0, оо) х [0, оо) 1 u = 1, u 2' (a) Sketch in the ry-plane the curves given u = 2. Then sketch in 1 v = 1, v = 2. Shade in the region R the xy-plane the curves given v = 2' bounded by the curves given by...
Consider the boundary value problem (12")=-45+4 with (2)=5 and u(6)=-1 Find the functions g., and , so that y = 9+Q81+ay, is the approximate quadratic solution that satisfies the essential boundary condition. Your answer should consist of three expressions, the first representing the term g, the second representing the term , and the third representing the term og. All three expressions should be expressed in terms of the independent variable x. Your answers should be expressed as a function of...
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