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
docker41 [41]
3 years ago
12

What is the surface area using integrals of these two lines. Y=10-x^2 and Y=x^2+2 from the bounds x=2 and x=-2.

Mathematics
1 answer:
Lelu [443]3 years ago
5 0

Check the picture below.

\bf \displaystyle\int\limits_{-2}^{2}~[\stackrel{\textit{above function}}{(10-x^2)}~~-~~\stackrel{\textit{below function}}{(x^2+2)}]dx\implies \int\limits_{-2}^{2}~(10-x^2-x^2-2)dx \\\\\\ \displaystyle\int\limits_{-2}^{2}~(8-2x^2)dx\implies \left. 8x\cfrac{}{} \right]_{-2}^{2}-\left. \cfrac{2x^3}{3} \right]_{-2}^{2} \\\\\\ ([16]-[-16])~~-~~\left( \left[ \cfrac{16}{3} \right]-\left[ -\cfrac{16}{3} \right]\right)\implies (32)~~-~~\left( \cfrac{32}{3} \right) \\\\\\ \cfrac{64}{3}\implies 21\frac{1}{3}

You might be interested in
Select all the correct answers.
krok68 [10]

Answer:

(x-1)(x-1) and (x-3)(x+2)

Step-by-step explanation:

4 0
3 years ago
Estimate the average rate of change from x 1 to x = 4. Enter your estimate as a decimal number (not as a fraction), rounded to o
anzhelika [568]

Answer:Mark brainliest please

Answer is - 0.5

Step-by-step explanation:

8 0
3 years ago
Sonya has 5 sandwiches.she cuts each sandwich into fourths.How menu 1/4 size sandwich pieces dose she have
frozen [14]

Answer:

20

Step-by-step explanation:

Sonya has 5 sandwiches.she cuts each sandwich into fourths

1 sandwich divided into four parts

four parts = ¹/₄

1/¹/₄= 1x ⁴/₁= 4

so 1 sandwich divided into four parts is 4

so if 1 is divided into four parts is 4

5 will 4 x 5 = 20

so it means there will 20 of ¹/₄ sandwich

4 0
3 years ago
(13 points) asap!! please help!!!!
kenny6666 [7]

Answer:

(-1,4)(1,4)

2

Step-by-step explanation:

6 0
3 years ago
Michael cuts a piece of wood for a project . The first cut is show and can be represented by the equation y= - 1/3 x + 6 . The s
Rudik [331]

The real answer is Y=-1/3x-2 APEX

5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve these equations <br> |x+1/2|= 3<br><br> |x-3|=5 6/7<br><br> |3x+7|=5
    5·1 answer
  • Consider the polynomial f(x) = 5x4+ 3x2+ x + 19. How many complex solutions does the polynomial have?
    9·1 answer
  • A sphere has a radius of r. What is the area of a cross section taken at a distance of 1/2r from the center of the sphere?
    15·1 answer
  • In tossing four fair dice, what is the probability of tossing, at most, one 3
    11·1 answer
  • I've been stuck on this one for a while
    12·1 answer
  • What is .97 as a percent?​
    6·2 answers
  • What is the volume of a cone (in cubic inches) of radius 5 inches and height 3 inches? Use 3.14 for π. Round your answer to the
    11·1 answer
  • PLS HELP If g(n) varies inversely with n and g(n) = 6 when n = 2, find the value of n when g(n) = 1.5.
    10·1 answer
  • Which statement about the amount of paint found by
    11·1 answer
  • Look at the picture<br>​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!