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Solution please, previous are wrong ! thanks A space curve is defined by C: (s)=(3s2+4)2+(s+7)j+4sk. Find the Cartesian...
A space curve is defined by C:r(u)--2/u!+?+8u2k, for u > 0. Find the Cartesian form of...
A space curve is defined by C:r(u)--2/u!+?+8u2k, for u > 0. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u1 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 3x+ 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...
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,...
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...
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...
I'm getting it wrong for some reason and it's literally right?! Can someone explain to me what is going on Let S be the solid with flat base, whose base is the region in the z y plane defined...
I'm getting it wrong for some
reason and it's literally right?! Can someone explain to me what is
going on
Let S be the solid with flat base, whose base is the region in the z y plane defined by the curves y - e,y--1,0and a-1, and whose cross sections perpendicular to the x axis are equilateral triangles with bases that sit in the r y plane a) Find the area A() of the cross-section of S given by the...
Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 ...
need help
Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 Find the length of parametized curve given by a(t) -0t3 -3t2 + 6t, y(t)1t3 +3t2+ 0t, where t goes from zero to one. Hint: The speed is a quadratic polynomial with integer coefficients. A curve with polar equation 14 7sin θ + 50 cos θ represents a line. Write this line in the given Cartesian form Note: Your answer should be...
Please explain all steps. Need to understand. Thanks Let C be the closed curve defined by...
Please explain all steps. Need to understand.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
A space curve is defined by C:r(u)--2/u!+?+8u2k, for u > 0. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u1 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 3x+ 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...
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,...
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...
I'm getting it wrong for some
reason and it's literally right?! Can someone explain to me what is
going on
Let S be the solid with flat base, whose base is the region in the z y plane defined by the curves y - e,y--1,0and a-1, and whose cross sections perpendicular to the x axis are equilateral triangles with bases that sit in the r y plane a) Find the area A() of the cross-section of S given by the...
need help
Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 Find the length of parametized curve given by a(t) -0t3 -3t2 + 6t, y(t)1t3 +3t2+ 0t, where t goes from zero to one. Hint: The speed is a quadratic polynomial with integer coefficients. A curve with polar equation 14 7sin θ + 50 cos θ represents a line. Write this line in the given Cartesian form Note: Your answer should be...
Please explain all steps. Need to understand.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
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