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3 years ago

Construct two chords BC and DE that intersect in the interior of a circle at point F

Mathematics

1 answer:

joja [24]3 years ago

6 0

The diagram has been inserted below.

There is a circle.

Two chords, BC and DE intersect at a point F inside the circle.

A chord of a circle is a straight line segment whose endpoints both lie on the circle.

To know the chord length, we need to know the radius or central angle or the perpendicular distance to the center.

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At what point does the curve have maximum curvature? y = 9 ln(x) (x, y) =

Andrews [41]

y = 9ln(x)
<span>y' = 9x^-1 =9/x</span>
y'' = -9x^-2 =-9/x^2

curvature k = |y''| / (1 + (y')^2)^(3/2)

<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2)
= (9/x^2) / (1 + 81/x^2)^(3/2)
= (9/x^2) / [(1/x^3) (x^2 + 81)^(3/2)]
= 9x(x^2 + 81)^(-3/2).

To maximize the curvature, </span>

we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2)
...= 9(x^2 + 81)^(-5/2) [(x^2 + 81) - 3x^2]
...= 9(81 - 2x^2)/(x^2 + 81)^(5/2)

Setting k' = 0 yields x = ±9/√2.

Since k' < 0 for x < -9/√2 and k' > 0 for x > -9/√2 (and less than 9/√2),
we have a minimum at x = -9/√2.

Since k' > 0 for x < 9/√2 (and greater than 9/√2) and k' < 0 for x > 9/√2,
we have a maximum at x = 9/√2. </span>

x=9/√2=6.36

<span>y=9 ln(x)=9ln(6.36)=16.66</span>

the answer is
(x,y)=(6.36,16.66)

7 0

3 years ago

Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh

beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = $\frac{80000}{\pi(64)^{2}}=6.2169899$

∴ The height of the water = 6.2 in. to the nearest tenth

5 0

3 years ago

I need help quick!!<br><br> you can have brainliest this is algerbra btw

padilas [110]

Answer:

Step-by-step explanation:

Day 1 = 2 birds

day 2 = 3 birds

day 3 = 9 birds

day 4 = 8 birds

day 5 = 1 bird

On day 1 the points are (1,2)

On day 5 the points are (5,1)

(I am picking these for the points because I don't know your options for the selecting area.)

we use this formula y2-y1/x2-x1

2-5/1-1

3/0

our answer is infinite which is the relation and this is an infinite function

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1 year ago

Read 2 more answers

Sofia measures the length of her car as 16 feet. What is the greatest possible error? ______ feet What is the margin of error? _

Genrish500 [490]

Answer:

Sofia measures the length of her car as 16 feet.

What is the greatest possible error?

What is the margin of error?

Step-by-step explanation:

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3 years ago

Removing which point from the coordinate plane would make the graph a function of X?

lisabon 2012 [21]

You would need to remove (-2, 1)

8 0

3 years ago