Answer:
• V = x(11 -2x)(16 -2x)
• x ≈ 2.1 in
Step-by-step explanation:
a) The volume of the box is the product of its depth (x), width (11 -2x) and length (16 -2x). The equation can be simply ...
v(x) = x(11 -2x)(16 -2x)
__
b) A graphing calculator can plot this equation directly. All that is needed is to enter it into the appropriate space provided by the calculator. The value of x that gives the greatest volume is the value that makes the function have a local maximum between x=0 and x=5.5 (where the volume is again zero).
That value of x is about 2.1 inches.
Answer:
the answer is (A) the solution is incorrect the mistake is from step 1 when they were subtracting the 7 it should have been a negative -4 then divide it by 2 , considering the 2 is positive it would keep the -4 a negative when dividing so the answer would be X= -2
Step-by-step explanation:
hope that helps :0!!
Answer:
Step-by-step Explanation:
Answer:
20
Step-by-step explanation:
The rectangle is 2 x 8.
2 + 2 + 8 + 8
Answer:
5
Step-by-step explanation:
To solve with calculus, distance is the integral of speed:
d = ∫ |v| dt
d = ∫₀⁴ |t − 3| dt
d = -∫₀³ (t − 3) dt + ∫₃⁴ (t − 3) dt
d = ∫₀³ (3 − t) dt + ∫₃⁴ (t − 3) dt
d = (3t − ½ t²) |₀³ + (½ t² − 3t) |₃⁴
d = [ (9 − 9/2 ) − (0 − 0) ] + [ (8 − 12) − (9/2 − 9) ]
d = 9/2 + 1/2
d = 5
You can also find this geometrically. Graph y = |x − 3|, then find the area under the curve. You will find it's the area of two triangles.
d = ½ (3)(3) + ½ (1)(1)
d = 5
It's important to note that distance is not the same thing as displacement. Displacement is the difference between where you start and where you stop. Distance is length of the path you take.