Suppose that z varies jointly with the cube of x and the square of y. Find the constant of proportionality k if z = 1900.8 when y = 3 and x = 4. %3D k %D Using the k from above write the variation equation in terms of x and y. Z = Using the k from above find z given that y = 8 and x = 14. %3D Z = If needed, round answer to 3 decimal places. Enter DNE for Does Not Exist, oo for Infinity

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Suppose that z varies jointly with the cube of x and the square of y.
Find the constant of proportionality k if z = 1900.8 when y = 3 and x = 4.
%3D
k
%D
Using the k from above write the variation equation in terms of x and y.
Z =
Using the k from above find z given that y = 8 and x = 14.
%3D
Z =
If needed, round answer to 3 decimal places.
Enter DNE for Does Not Exist, oo for Infinity
Transcribed Image Text:Suppose that z varies jointly with the cube of x and the square of y. Find the constant of proportionality k if z = 1900.8 when y = 3 and x = 4. %3D k %D Using the k from above write the variation equation in terms of x and y. Z = Using the k from above find z given that y = 8 and x = 14. %3D Z = If needed, round answer to 3 decimal places. Enter DNE for Does Not Exist, oo for Infinity
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