1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marrrta [24]
3 years ago
15

The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_

0t 0 ​ t, start subscript, 0, end subscript, the radius is 555 meters. What is the rate of change of the surface area S(t)S(t)S, (, t, )of the sphere at that instant?
Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

ds/dt=69743.35m^2/min

Step-by-step explanation:

The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_0t 0 ​ t, start subscript, 0, end subscript, the radius is 555 meters. What is the rate of change of the surface area S(t)S(t)S, (, t, )of the sphere at that instant?

If i could understand the question correctly, the typos notwithstanding

r=radius, 555m

dr/dt=rate of change in radius 5m/min

ds/dt=rate of change in surface area   ?

S=area of a sphere 4\pi r^{2}

ds/dt=ds/dr*dr/dt.................................1

ds/dr=differentiation of the area of a sphere=8\pi r

ds/dt=8\pi 555*5

ds/dt=69743.35m^2/min

The surface area of the sphere will change by 69733.35 square meters for every minute.

You might be interested in
Find the product
o-na [289]

Answer:

2x^3 - 2x^2  - 12x

Step-by-step explanation:

2x(x - 3)(x + 2)

= 2x ( x^2 + 2x -3x - 6)

= 2x (x^2 - x - 6)

= 2x^3 - 2x^2  - 12x (answer).

7 0
2 years ago
Read 2 more answers
Can someone help please it would be greatly appreciated
nikklg [1K]
(y+5) =(5/4)(x-8)
4(y+5)=5(x-8)
4y+20=5x-40
5x-4y=60

Hope that helps you
4 0
2 years ago
Simplify the expression. Rewrite using only positive exponents.
ivanzaharov [21]

The simplification form of the provided expression is x¹⁸a³b³ option

(d) x¹⁸a³b³ is correct.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

= \rm (\dfrac{x^4a^2b^3}{x^{-2}ab^2})^3

After using the integer exponent property:

\rm =\dfrac{x^{12}a^6b^9x^6}{a^3b^6}

= a³b³x¹⁸ Or

=x¹⁸a³b³

Thus, the simplification form of the provided expression is x¹⁸a³b³ option

(d) x¹⁸a³b³ is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

4 0
2 years ago
I neeed help , can somebody please tell the answer . ?
Dmitriy789 [7]

Answer:

x=39 degrees

Step-by-step explanation:

28+33+x=100

61+x=100

8 0
3 years ago
Neptune's diameter is a little less than 5 x 10:^7 meters. How is this number expressed in standard notation?
lara31 [8.8K]
50,000,000
Hope i helped!
6 0
2 years ago
Read 2 more answers
Other questions:
  • Evaluate (16/25X5/7)\8/25
    11·1 answer
  • You can check your answer to a division problem by using multiplication how can I check the answer want to Bishop of them has a
    13·2 answers
  • Peter played his favorite video game for 10 hours last week. Today Peter's parents restricted him to 5 hours a week for the next
    15·1 answer
  • Is pie rational or irrational?
    15·2 answers
  • Please help me on question 19
    15·2 answers
  • F (x) = (2x – 5) ^2 then evaluate f (-4)
    13·2 answers
  • A box without a top is made from a rectangular piece of cardboard, with dimensions 25 inches by 20 inches, by cutting out square
    7·2 answers
  • Find the values of x and y.
    8·2 answers
  • Find the mean of the picture below?
    15·1 answer
  • (√2+√3) ^2<br>answer faaaaaaaaaaaaast<br>​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!