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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
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lina2011 [118]
The correct answer is 
A) x^2 - 6x + 9

In fact, this is a trinomial of the form ax^2-bx+c, whose solutions are given by
x_{1,2}=  \frac{-b\pm \sqrt{b^2 -4ac} }{2a}
Using this formula for the trinomial of the problem, we find:
x1,2=  \frac{6 \pm \sqrt{6^2-4\cdot 1\cdot 9}}{2} =3
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8 0
3 years ago
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Richard is selling candy bars for a school fundraiser on Monday he has 225 bars Remaining he sells an average of 30 bars per day
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Answer:

Mon - Fri: 4 days 4*30 = 120 bars given away. 225 - 120 = 135 bars

Step-by-step explanation:

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A.) which of these expressions is equivalent to 4 x x
Law Incorporation [45]

Answer:

a) The correct option is C: 4x

b) The correct option is B: 2x

Step-by-step explanation:

a) Usually when we have a real number multiplying a variable, we do not need to write the multiplication symbol.

So instead of writing:

4×x

We can write:

4x

And this will be equivalent.

Then in this case the correct option is C.

b) We know that if we have the multiplication of A by n, this will be equivalent to add A n times.

Then if we have the sum of A, for example, 4 times, we have:

A + A + A + A

And this can be written as 4*A

In this case, we have the expression x + x.

So we are adding x two times, then this can be written as: 2*x, or, as we said earlier, this also can be written as 2x.

Then the correct option is option B.

8 0
3 years ago
Could someone please help me with this?
allsm [11]

Answer:

21.5 mm^2

Step-by-step explanation:

First find the area of the square

A = s^2 = 10^2 =100

Then find the area of the circle

d = 10 so r = d/2 = 10/2 =5

A = pi r^2

A = 3.14 (5)^2 =78.5

The difference is the shaded region

100-78.5 =21.5

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3 years ago
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