3 years ago

Wollllllllllllllllllllllllllllllllllllllllllllllllllllll

Mathematics

1 answer:

abruzzese [7]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

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Find a linear approximation of the function f(x)=\sqrt[3]{1+x} at a=0, and use it to approximate the numbers \sqrt[3]{.96} and \

34kurt

$f(x)=\sqrt[3]{1+x}=(1+x)^{1/3}\implies f'(x)=\dfrac1{3(1+x)^{2/3}}$

The linear approximation to $f(x)$ around $x=a$ is then

$L(x)=f(a)+f'(a)(x-a)\approx f(x)$

So the approximation centered at $a=0$ will be

$L(x)=f(0)+f'(0)x=(1+0)^{1/3}+\dfrac x{3(1+0)^{2/3}}$
$L(x)=1+\dfrac x3$

which means we have

$\sqrt[3]{0.96}\approx L(0.96)=1+\dfrac{0.96}3=1.32$

$\sqrt[3]{1.02}\approx L(1.02)=1+\dfrac{1.02}3=1.34$

Compare to the actual values of

$\sqrt[3]{0.96}\approx0.9864$

$\sqrt[3]{1.02}\approx1.0066$

4 0

3 years ago

Simplify 3x² x 4x5 ggggggggggggg

Effectus [21]

$3 {x}^{2} \times 4 \times 5 \\ = 60{x}^{2}$

.... Hope this will help....

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3 years ago

Solve the equation by factoring: x^3-16x^2+63x=0 x 3 −16x 2 +63x=0

Svetlanka [38]

Can you re order them I don’t understand your problems

3 0

3 years ago

Which number is a solution of the inequlity? 3x-10>14 A. 8 B. 3 C. -2/5 D. 1/2

sveticcg [70]

Answer is 8
to do the problem...
First add ten to the negative 10 and the 14. (this cancels out the negative ten in the original problem) (the number 14 plus 10 equals 24)
Secondly, divide by three on both sides.
Third, the number 24 divided by 3 equals 8.

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3 years ago

Two linear equations are shown in the graph.

In-s [12.5K]

Answer:

I am taking this graph because this question looked similar to this one.

Step-by-step explanation:

Answer should be B.

The intersection point is (3,3)

8 0

3 years ago