This is the whole question which needs to be answered with true or false and also the explanation, I need the answer for (d) thanks for helping (d) the curve of intersection between theParaboloid z = x² + y² and the Plane2x=y+z=0 has constant curvature21√5(e) the line r= (2,2,1) + t(1, 2,57intersects the surface xy² z³ = 83orthogonally at (2,2,1)1. True or false.2(a) f ₁ f ²² Sin (x² y) dx dy = *11b) (cy (cosx + 1) dx + sing dyLAKA(C) Assuming That z = z(x, y) can bedefined by the function z =z = sin(xyz)Thenwith explanationsƏx=ydzayThis isZ=sin(xyz)

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Answered: (d) the curve of intersection between…

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(d) the curve of intersection between the Paraboloid z = x² + y² and the Plane 2x-J+z=0 has constant curvature 21√5

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...

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Question

This is the whole question which needs to be answered with true or false and also the explanation, I need the answer for (d) thanks for helping

(d) the curve of intersection between the
Paraboloid z = x² + y² and the Plane
2x=y+z=0 has constant curvature
21√5
(e) the line r= (2,2,1) + t(1, 2,57
intersects the surface xy² z³ = 8
3
orthogonally at (2,2,1)
1. True or false.
2
(a) f ₁ f ²² Sin (x² y) dx dy = *
1
1b) (cy (cosx + 1) dx + sing dy
LAKA
(C) Assuming That z = z(x, y) can be
defined by the function z =
z = sin(xyz)
Then
with explanations
Əx
=y
dz
ay
This is
Z=sin(xyz)

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