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Alchen [17]
3 years ago
9

This is a calculus question.

Mathematics
2 answers:
yuradex [85]3 years ago
7 0

Answer:

= 2 cm^2/sec

Step-by-step explanation:

side of cube ---- x cm

volume = x^3

d(volume)/dt = 3x^2 dx/dt

when c = 20, d(volume)/dt = 10 cm^3/sec

10 = 3(20^2) dx/dt

dx/dt = 10/1200 = 1/120 cm/sec

Surface area = SA = 6x^2

d(SA)/dt = 12x dx/dt

so when x = 20, as above

d(SA)/dt = 12(20)(1/120) cm^2/sec

= 2 cm^2/sec

DiKsa [7]3 years ago
3 0

Answer:

2 cm^2/sec

Step-by-step explanation:

side of cube ---- x cm

volume = x^3

d(volume)/dt = 3x^2 dx/dt

when c = 20, d(volume)/dt = 10 cm^3/sec

10 = 3(20^2) dx/dt

dx/dt = 10/1200 = 1/120 cm/sec

Surface area = SA = 6x^2

d(SA)/dt = 12x dx/dt

so when x = 20, as above

d(SA)/dt = 12(20)(1/120) cm^2/sec

= 2 cm^2/sec

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Makovka662 [10]

Answer:

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Step-by-step explanation:

Step 1. Perimeter P means adding up all three sides.


Step 2. Let n be an odd integer.


Step 3. Let n+2 and n+4 be the next two consecutive odd integers.


Step 4. Then P=n+n+2+n+4=51.


Step 5. Solving the equation Step 4 yields the following steps


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Step-by-step explanation:

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