The parametric equations in these exercises represent a quadric surface for positive values of a , b , and c. Identify the type of surface by eliminating the parameters u and v . Check your conclusion by choosing specific values for the constants and generating the surface with a graphing utility. x = a sinh v , y = b sinh u cosh v , z = c cosh u cosh v
The parametric equations in these exercises represent a quadric surface for positive values of a , b , and c. Identify the type of surface by eliminating the parameters u and v . Check your conclusion by choosing specific values for the constants and generating the surface with a graphing utility. x = a sinh v , y = b sinh u cosh v , z = c cosh u cosh v
The parametric equations in these exercises represent a quadric surface for positive values of a, b, and c. Identify the type of surface by eliminating the parameters u and v. Check your conclusion by choosing specific values for the constants and generating the surface with a graphing utility.
x
=
a
sinh
v
,
y
=
b
sinh
u
cosh
v
,
z
=
c
cosh
u
cosh
v
Need only a handwritten solution only (not a typed one).
Explain each step please
Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point.
Surfaces: x+ y + 2z = 3,
X = 2
Point:
(2,1,0)
Find the equations for the tangent line. Letz= - 2t.
X =
(Type an expression using t as the variable.)
y =
(Type an expression using t as the variable.)
(Type an expression using t as the variable.)
Chapter 14 Solutions
Calculus Early Transcendentals, Binder Ready Version
Precalculus: Mathematics for Calculus (Standalone Book)
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