Sunday

April 20, 2014

April 20, 2014

Posted by **<3** on Thursday, June 4, 2009 at 10:07pm.

- Math (: -
**MathMate**, Thursday, June 4, 2009 at 10:35pmGiven

A=bh/2, b=2*93/10.5=17.714

differentiate with respect to t (by the product rule on the right hand side).

The only unknown left is the rate of change of the base.

Hint: it is negative.

- Math (: -
**Reiny**, Thursday, June 4, 2009 at 10:38pmlet the area be A

let the base be x

let the height be y

given: at a time of t minutes,

dA/dt = 1.5 cm^2/min

dy/dt = 2.5 cm^2/min

find:

dx/dt when A = 93 and y = 10.5

A = xy/2 or

2A = xy (equ#1)

differentiate implicitly with respect to t, using the product rule

2dA/dt =x(dy/dt) + y(dx/dt) (equ#2)

we know A=93 when y = 10.5, so x = 17.714

sub into equ#2

2(1.5) = 17.714(2.5) + 10.5dx/dt

solve for dx/dt

- Math (: -
**<3**, Thursday, June 4, 2009 at 10:54pmMy answer is -3.9319, but it's wrong.

- Math (: -
**MathMate**, Thursday, June 4, 2009 at 10:58pmI have -3.932 too.

Can you check the numbers in the question?

- Math (: -
**<3**, Thursday, June 4, 2009 at 11:01pmI copied & pasted this from my online homework. It said the answer is wrong.

- Math (: -
**Reiny**, Thursday, June 4, 2009 at 11:02pmI also had -3.932

What answer did the book have?

- Math (: -
**<3**, Thursday, June 4, 2009 at 11:07pmI use an online homework program called WebWork. It just tells you if your answer is correct or not.

- Math (: -
**MathMate**, Thursday, June 4, 2009 at 11:10pmTry -3.93, -3.932.

- Math (: -
**<3**, Thursday, June 4, 2009 at 11:16pmThe answer is -3.9300. Thanks!

**Related Questions**

math - The altitude of a triangle is increasing at a rate of 1.500 centimeters/...

Math calculus - The altitude of a triangle is increasing at a rate of 1000 ...

calculus - The altitude of a triangle is increasing at a rate of 3.000 ...

math - The altitude of a triangle is increasing at a rate of 1500 centimeters/...

Calculus - The altitude of a triangle is increasing at a rate of 3000 ...

Calc - The altitude of a triangle is increasing at a rate of 2500 centimeters/...

math - The altitude of a triangle is increasing at a rate of 3 centimeters/...

Math - The altitude of a triangle is increasing at a rate of 2500 centimeters/...

CAL - The altitude of a triangle is increasing at a rate of 2500 centimeters/...

CAL - The altitude of a triangle is increasing at a rate of 2500 centimeters/...