Coordinate Geomatry (1 Viewer)

[spikestar]

Can some 1 plz do this q coz i done it but i dont have any answers so i can compare thank you:

A box in the shape of a rectangular prisim has a base of length x cm and width (4-X)cm.

a) Express the area of the bas A cm^2, in terms of x.

b) If the volume of the box is fixed at 1cm^3, express the height, h cm, in terms of x.

c) Determine the height of the box when the length of the base is 3.95 cm.

d) Sketch the graph of H against x.

E) Find the minimum height of the box and the dimensions in this case.

Thanks In Advance!!1

 

[Shady01]

ok my code x^2 = 2
x^3=3

ok so 3x =3x so dont get confused lol

a) answer is 4x-x2

b) 4x2-x3=1 (solve like an equation to find x im guessin)
no hope fer c and D

 

[SeDaTeD]

You should stick with the ^ symbol for raising to the power of, since that is the convention for most places.

 

[Templar]

a. Area=4x-x²
b. Height=1/(4x-x²)
c. Height=5.063cm
d. Graph approaches infinity when x->0⁺ and x->4^- (taking restriction that sides must be positive)
e. Minimum height is when x=2, box is 2*2*0.25cm

 

[spikestar]

Thank You