Question

The length of a rectangle is increasing at a rate of 8 cm/s and its width...

The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 9 cm/s. When the length is 9 cm and the width is 5 cm, how fast is the area of the rectangle increasing?

Homework Answers

Answer #1

=length

w=width

Area of a rectangle

                         Apply product rule

                         Substitute all the values

Area of a rectangle in creasing at the rate of

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The length of a rectangle is increasing at a rate of 5 cm/s and its width...
The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 6 cm, how fast is the area of the rectangle increasing?
a. Each side of a square is increasing at a rate of 2 cm/s. At what...
a. Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square increasing when the area of the square is 49 cm2? cm2/s b. The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 5 cm/s. When the length is 7 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
The side x of a rectangle is increasing at a rate of 2 cm/s while its...
The side x of a rectangle is increasing at a rate of 2 cm/s while its side y is decreasing at a rate of 1 cm/s. (a) Find how fast the perimeter P of the rectangle is changing when x = 4 cm and y = 3 cm. (b) Find how fast the area A of the rectangle is changing when x = 4 cm and y = 3 cm. (c) Find how fast the length l of diagonal of...
the length of a rectangle is 4 inches more than its width. the area of the...
the length of a rectangle is 4 inches more than its width. the area of the rectangle is equal to 5 inches more than 2 times the perimeter. find the length and the width of the rectangle.
A rectangle has an area of 30.26 cm2. When both the length and width of the...
A rectangle has an area of 30.26 cm2. When both the length and width of the rectangle are increased by 1.80 cm, the area of the rectangle becomes 55.64 cm2. Calculate the length of the shorter of the two sides of the initial rectangle.
A rectangle has an area of 42.18 cm2. When both the length and width of the...
A rectangle has an area of 42.18 cm2. When both the length and width of the rectangle are increased by 1.30 cm, the area of the rectangle becomes 63.24 cm2. Calculate the length of the shorter of the two sides of the initial rectangle. The answer of 2.5 has been marked incorrect.
1. Find y' if sin y + 2x^4 = e^x + 4y + xy^3 2. The...
1. Find y' if sin y + 2x^4 = e^x + 4y + xy^3 2. The width of a rectangle is decreasing at a rate of 3 cm/sec.ind its area is increasing at a rate of 40 cm?/sec. How fast is the length of the rectangle changing when its length is 4 cm and its width is 7 cm ?
A rectangle has an area of 36.36 cm2. when both the length and width of the...
A rectangle has an area of 36.36 cm2. when both the length and width of the rectangle are increased by 1.40cm, the area of the rectangle becomes 57.50cm2. calculate the length of the tow sides of the initial rectangle.
A rectangle has a length of 8 inches and a width of 3 inches. what is...
A rectangle has a length of 8 inches and a width of 3 inches. what is the width, in inches of a rectangle whose length and width are in the same proportion and whose perimeter is 44 inches?
Joey is editing an picture. The picture is a rectangle with a height that always stays...
Joey is editing an picture. The picture is a rectangle with a height that always stays 1/3 of its width. If he drags the width so that it grows at 5 mm/sec, how fast is the rectangle’s area increasing when its width is 100 mm?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT