Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The area of a planned garden can be modeled by the equation A= -4w2 + 64w,
where w is the width of the garden in feet. Someone please help

The Area Of A Planned Garden Can Be Modeled By The Equation A 4w2 64w Where W Is The Width Of The Garden In Feet Someone Please Help class=

Sagot :

Answer:

8 feet, 256 ft^2

Step-by-step explanation:

The function of the area can be graphically rapresented with a parabola that opens downwards

in this specific case the vertex is the maximum point of the parabola.

(X) Vertex = -64/-8 = 8 feet

(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2

Answer:

Maximum Width = 8 feet.

Maximum area = 256 ft^2.

Step-by-step explanation:

Part A.

A = -4w^2 + 64w

Finding the derivative:

dA/dw = -8w + 64 = 0  for maxm/minm, so

-8w  = -64

w = 8

The second derivative is -8 so w = 8 gives a maximum.

Part B.

The maximum area = -4(8)^2 + 64*8

= -256 + 512

= 256 ft^2.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.