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a triangle's base and height are changing. (a) if the base is growing at a rate of 1 cm per second and the height is growing at a rate of 2 cm per second at what rate is the area changing the moment that the base is 4 cm and the height is 7 cm?

Respuesta :

The rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

What is the rate of change?

  • The rate at which a variable alters over a predetermined amount of time.
  • It is frequently used when discussing momentum and is typically expressed as a ratio of one variable's change to another's corresponding change.
  • This ratio is graphically represented by a line's slope.

We know that,

The Base is growing at the rate of 1 cm per sec.

Height is growing at the rate of 2 cm per sec.

Area of triangle: 1/2 × b × h

The rate of change will be:

1/2 × b × h

1/2 × 4/1 × 7/2

28/4

7 cm per sec

Therefore, the rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

Know more about the rate of change here:

https://brainly.com/question/8728504

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