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
IrinaVladis [17]
3 years ago
15

\[f(x)=\sqrt{x ^4-16x ^{2}}\]

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0
f ( x ) =  \sqrt{ x^{4} -16 x^{2} }
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )
b ) f ` ( x ) = \frac{1}{2 \sqrt{x ^{4}-16 x^{2}  } } *  ( x^{4}-16 x^{2} )` =
= ( 2 x³ - 16 x ) / √(x^4 - 16 x²)
c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34 
You might be interested in
Find the volume formula is v=pi*r squared *h/3 <br> When r=6 and h=10
patriot [66]
377.14 units cubic.
Working;
v=\frac{1}{3}*π*r^{2}*\frac{h}{3}
v=\frac{1}{3}*\frac{22}{7}*6^{2}*\frac{h}{3}
=377.14
7 0
2 years ago
Which is a solution -2x-y=1 and -4x-2y=-1
grin007 [14]

Answer:

No solutions.

Step-by-step explanation:

-2x -  y = 1

-4x - 2y = -1 Multiply the first equation By  -2:

4x + 2y = -2  Adding:

0 = -3

which is absurd so there are no solutions.

7 0
3 years ago
Tammy sells beaded necklaces. Each large necklace sells for $5.20 and each small necklace sells for $4.90 . How much will she ea
Daniel [21]

Answer: $39.50

Step-by-step explanation:)

8 0
3 years ago
Using the formula C = 2, find the circumference of a circle with diameter of 20 inches. Round your answer to the nearest inch
Svetllana [295]

Answer:

The circumference is approximately 314 inches.

Step-by-step explanation:

3.14 x r^2

3.14 x 10^2

3.14 x 100

Circumference: 314

8 0
3 years ago
Read 2 more answers
Compare the decimals 13.03 and 13.30. Which comparison is correct? A. 13.03 &lt; 13.30 B. 13.03 = 13.30 C. 13.03 &gt; 13.30
Dmitrij [34]
The correct answer is A . 13.03 is less than 13.30
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x ?
    5·2 answers
  • Solve: 16x = 8<br> A. 1/2<br> B. 2<br> C. 4<br> D. 12
    7·2 answers
  • 18-3n+2=n+20-4n which is the solution 0 (0) or all reals
    6·1 answer
  • What is half of 2,000
    15·2 answers
  • Compare ratio for 4/5 and 3/7​
    10·1 answer
  • The sum of an integer and 6 is twice as big as the number itself. What is the integer?Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!I will bra
    8·2 answers
  • A restaurant used 8.4
    11·1 answer
  • What is the sum of sqrt 18 plus sqrt 72
    9·1 answer
  • What is 36÷2/3×9×1/2
    12·2 answers
  • 3. Given this quadratic equation, 2x2 - x - 28 = 0,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!