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2 years ago

The area of a planned garden can be modeled by the equation A= -4w2 + 64w,

Mathematics

2 answers:

lakkis [162]2 years ago

6 0

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

valentinak56 [21]2 years ago

5 0

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.

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Kindly refer to the attached image of $\triangle KJL$ in which all the given angles are shown.

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c) tan(38°)

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Now, let us find out the values of trigonometric functions given in options one by one:

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