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barxatty [35]
3 years ago
9

A rectangle's base remains 0.5 cm while its height changes at a rate of 1.5 cm/min.

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

The area of the rectangle is changing at

0.75 sq.cm/min

Let

x

and

y

be the base and height of the rectangle.

x

=

0.5

cm is constant :. dx/dt=0#. Area of the rectangle

is

A

=

x

⋅

y

. Differentiating both sides we get

d

A

d

t

=

d

x

d

t

⋅

y

+

d

y

d

t

⋅

x

;

y

=

1.5

,

d

y

d

t

=

1.5

cm /min.

∴

d

A

d

t

=

0

⋅

1.5

+

1.5

⋅

0.5

=

0.75

sq.cm/min.

The area of the rectangle is changing at

0.75

sq.cm/min

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Step-by-step explanation:

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To find the y-intercept you must make x=0

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4 0
4 years ago
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soldier1979 [14.2K]

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Step-by-step explanation:

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where a1 = First term  given as 8 and

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Therefore  We have that

the first term

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second term=

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3rd term

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4th term

an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2

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5th term

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6th term

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6 0
3 years ago
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<u>Step-by-step explanation:</u>

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8 0
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Answer:

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Step-by-step explanation:

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