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
ICE Princess25 [194]
3 years ago
11

Use the linear approximation (1+x)^kapprox 1+kx to find an approximation for the function f(x) for values of x near zero.

Mathematics
1 answer:
padilas [110]3 years ago
8 0
A)                                 approx =  1-8x
b) f(x) -8(1-x)^-1          approx =   -8(1+x) = -8 - 8x
because 1/x = x^-1...

c) f(x) = (1+x)^-1/2      approx    = 1- 1/2x
d) f(x) = (4+x^2)^1/2   approx = 4 + 1/2x^2
e) f(x) = (6+3x)^1/3     approx = 6+x
You might be interested in
Pleaseeee help! I don't get this!! Please leave a detailed explanation of how you got your answer!!!
lisov135 [29]

Answer:

Step-by-step explanation:

Break down the figure into two shapes.

SHAPE A: The larger one. We can infer the size of the bottom is 6 cm because it's the same size as it's top counterpart. Same goes for the left side, which will have a measure of 7 cm.

SHAPE B: The smaller one. We're going to use the same method as we did with the first one, and infer the lengths of the other sides using the existing ones.

To calculate area, it's length times width.

SHAPE A: Its two side measures are 6 and 7, which equates to 42 cm^2.

SHAPE B: Its two side measures are 2 and 3, which equates to 6 cm^2.

If you add the two, the total area is 44 cm^2.

6 0
3 years ago
Read 2 more answers
What is The least common multiple of two numbers I have no common factors greater than 1?GIVE AN EXAMPLE
Makovka662 [10]
"One and itself, example would be the least common multiple 2, it would be one and two being they're both multiples of two."
7 0
3 years ago
PLEASE HELPPPP!!!!!!!!!!!!
sladkih [1.3K]
Given:

Two endpoints of a diameter of a circle:

P (-7, -10)
Q (3, 2)

a) To find the center of the circle, find the midpoint of the two points:

midpoint:

(x2 - x1 )/ 2 , (y2 - y1) / 2

x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5

Therefore, the center of the circle is at C(4.5, 6.5)


 b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.

d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2 
5 0
3 years ago
Mr. Vazquez determines that the area of a bathroom in his house is 25 square feet less than 1/5 of the area of the living room.
kozerog [31]
Answer is 300 square feet

5 0
3 years ago
The zero of F -1(x) in F(x) = x + 3 is
seropon [69]

Answer:

-3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which lists the even numbers between 1 and 19 in set notation? A.{2, 4, 6, 8, 10, 14, 16, 18} B.{0, 2, 4, 6, 8, 10, 12, 14, 16,
    6·1 answer
  • How do I write 770,070 in expanded form
    8·1 answer
  • What’s in between 80 and 81
    6·1 answer
  • 9x-3y=12. Solve for why
    14·1 answer
  • In the expression 4x+ 2y -3x +5y^2 +3z- 4z^2
    8·1 answer
  • jack was planting a tree. he was to dig a hole that was 3.25 feet deep for every 5.7 feet of tree height . how deep should he di
    6·1 answer
  • Every morning, Halle goes to school with a 1-liter bottle of water. She drinks 1/4 of the bottle before school starts and 2/3 of
    15·1 answer
  • There are 58 students in an art class. The day before class begins, 10.3 percent of the students cancel
    8·1 answer
  • A farmer fills a rectangular water trough to a depth of 1 foot.
    6·2 answers
  • What happens if you craw on the ground?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!