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FromTheMoon [43]
3 years ago
5

A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax2 about the y-a

xis. If the dish is to have a 20-foot diameter and a maximum depth of 2 feet, find the value of a and the surface area (in square feet) of the dish.

Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

Step-by-step explanation:

See attached file .

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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon
zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

V = \frac{4\pi r^3}{3}

Applying implicit differentiation, the rate of change is given by:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

In this problem, we have that:

\frac{dV}{dt} = 500, r = 70

Hence the rate of change of the radius is given as follows:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

19600\pi\frac{dr}{dt} = 500

\frac{dr}{dt} = \frac{500}{19600\pi}

\frac{dr}{dt} = 0.0081

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0
1 year ago
The reduced fraction of 1902/21
mars1129 [50]
So i got 90 4/7 reduced in fractions
5 0
3 years ago
Read 2 more answers
Student scored in the 83rd
melamori03 [73]

Answer:b

Step-by-step explanation:

5 0
2 years ago
The sequence 2,6,18,54 shows the number of sit-ups Alan can do each day.
jek_recluse [69]

Step-by-step explanation:

this sequence is geometric not arithmetic

HOw we know that ??

when we get a common difference  that must Be equal  

d=6-2=4  not equal to  d=18-6=12

So it is not arithmetic

but when we get the common ratio that also must be equal

r=6/2=18/6=54/18=3    equal

So it is geometric

By using this equation:

a(n)=a(1)*r^(n-1)

and we have a(1)=2 , r=3    

<u>Explicit rule:</u> a(n)=2*(3)^(n-1)

<u>Recursive rule:</u>  a(n)= r * a(n-1)

a(n-1) ⇒ priviuse term

SO:  a(n)= 3 * a(n-1)

For example:

a(3)= 3 * 6 =18

<em>I really hope this helps <3</em>

7 0
3 years ago
Graphing linear inequalities digital escapes puzzle 4
Vadim26 [7]

Answer:

1 - F

2 - B

3 - H

4 - A

Step-by-step explanation:

1.

m = -2

b = 4

y < mx + b

y < -2x + 4

F

2.

m = 1

b = -2

y < mx + b

y < 1x -2

y < x - 2

B

3.

m = -4

y <= mx + b

H is the only one that follows those rules

4.

m = 1

y >= mx + b

A is the only one that follows those rules

5 0
2 years ago
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