If a box with a square cross section is to be sent by a delivery service, there are restrictions on its size such that its volume is given by V- x2(135 - 5x), where x is the length of each side of the cross section (in inches). (a) Is Va function of x? O Yes, V is a function of x. O No, V is not a function ofx. (b) If V = V(x), find V(12) and V(24). (If V is not a function of x, enter DNE.) V(12) = in3 V(24) - | in3 (c) What restrictions must be placed on x (the domain) so that the problem makes physical sense? (Enter your answer using interval notation. If V is not a function of x, enter DNE.)

If a box with a square cross section is to be sent by a delivery service, there are restrictions on its size such that its volume is given by V- x2(135 - 5x), where x is the length of each side of the cross section (in inches). (a) Is Va function of x? O Yes, V is a function of x. O No, V is not a function ofx. (b) If V = V(x), find V(12) and V(24). (If V is not a function of x, enter DNE.) V(12) = in3 V(24) - | in3 (c) What restrictions must be placed on x (the domain) so that the problem makes physical sense? (Enter your answer using interval notation. If V is not a function of x, enter DNE.)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks

Similar questions

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?
Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.