At what points (x,y,z) in space are the functions continuous?a. h(x,y,z) = In (2z? – x2 – 3y3 – 4)1b. h(x,y,z) =z2 - /x? +y3a. At which points is h(x,y,z) = In (2z2 - x2 - 3y3 – 4) continuous? Choose the correct answer below.A. All points satisfying 2z2 – x2 > 3y3 – 4B. All points satisfying 2z2 - x2 - 3y3 <4C. All points except (0,0,0)D. All points satisfying x+ y #zE. All points satisfying 2z2 – x2 - 3y3 > 4F. All points satisfying 2z2 - x2 - 3y3 +4G. All pointsH. No points1b. At which points is h(x,y,z) =continuous? Choose the correct answer below.x2y3O A. All points satisfying x+y zB. All points satisfying x2 + y3 20C.D.All points satisfying x2 + y3 20 and z? + Vx² +y3All points satisfying z2 + Vx2 +E.All points satisfying z2> Vx2.+y3F. All points satisfying x2 + y3 > 0G. All pointsH. No pointsO O Find and sketch the domain of the function.f(x,y) = Vy - x- 2...Find the domain of the function. Express the domain so that coefficients have no common factors other than 1. Select the correct choice below and,if necessary, fill in the answer box to complete your choice.A. The domain is all points (x,y) satisfying#0В.The domain is all points (x,y) satisfying= 0c. The domain is all points (x,y) satisfying-X-220D. The domain is all points (x,y) satisfying>0E. All points in the xy-plane.Choose the correct sketch below. The domain is shaded in yellow.O A.В.C.D.10-

we want to find the domain of given function

Answered: At what points (x,y,z) in space are the…

At what points (x,y,z) in space are the functions continuous? a. h(x,y,z) = In (2z2 – x² – 3y³ – 4) 1 b. h(x,y,z) = - z? . 2 + y3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 34E

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Question

At what points (x,y,z) in space are the functions continuous?
a. h(x,y,z) = In (2z? – x2 – 3y3 – 4)
1
b. h(x,y,z) =
z2 - /x? +y3
a. At which points is h(x,y,z) = In (2z2 - x2 - 3y3 – 4) continuous? Choose the correct answer below.
A. All points satisfying 2z2 – x2 > 3y3 – 4
B. All points satisfying 2z2 - x2 - 3y3 <4
C. All points except (0,0,0)
D. All points satisfying x+ y #z
E. All points satisfying 2z2 – x2 - 3y3 > 4
F. All points satisfying 2z2 - x2 - 3y3 +4
G. All points
H. No points
1
b. At which points is h(x,y,z) =
continuous? Choose the correct answer below.
x2
y3
O A. All points satisfying x+y z
B. All points satisfying x2 + y3 20
C.
D.
All points satisfying x2 + y3 20 and z? + Vx² +y3
All points satisfying z2 + Vx2 +
E.
All points satisfying z2
> Vx2.
+y3
F. All points satisfying x2 + y3 > 0
G. All points
H. No points
O O

Find and sketch the domain of the function.
f(x,y) = Vy - x- 2
...
Find the domain of the function. Express the domain so that coefficients have no common factors other than 1. Select the correct choice below and,
if necessary, fill in the answer box to complete your choice.
A. The domain is all points (x,y) satisfying
#0
В.
The domain is all points (x,y) satisfying
= 0
c. The domain is all points (x,y) satisfying
-X-220
D. The domain is all points (x,y) satisfying
>0
E. All points in the xy-plane.
Choose the correct sketch below. The domain is shaded in yellow.
O A.
В.
C.
D.
10-

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