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grandymaker [24]
3 years ago
6

Given () = 2, = 1, and ∆ = 0.6:

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Answer:

a)

\triangle y = 1.56

b) Dy=1.2

c) See attachment

Step-by-step explanation:

a)Let

\triangle x

be a small change in x, then the corresponding change in y is

\triangle y= f(x  +  \triangle x) - f(x)

We have

f(x) =  {x}^{2}

This implies that:

\triangle y= (x  +  \triangle x)^{2}  -  {x}^{2}

We substitute

x = 1 \: and \:  \:  \triangle x = 0.6

This gives

\triangle y= (1 + 0.6)^{2}  -  {1}^{2}  \\ \triangle y =  {1.6}^{2}  - 1 = 1.56

b) Let

y = f(x)

\frac{dy}{dx}  = f'(x)

This implies that:

dy = f'(x)dx

with dx=0.6 , and x=1,

dy = 2x dx

dy = 2(1)(0.6) = 1.2

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