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3 years ago

What is the value of the following function when x = 0? y=-5 y=-2 y=-1 y=0

Mathematics

1 answer:

expeople1 [14]3 years ago

4 0

Answer:

y = -2

Step-by-step explanation:

See the attached image in the attachment. When x is zero, it intersects the y-axis at y = -2

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The output y and input x of a device are related by y = x + 1.4x3 . (a) Find the values of the output for steady-state operation

erma4kov [3.2K]

Answer:

a) $y(1) = 2.4$ , $y(2) = 13.2$ , b) $y(x) = 2.4 + 5.2\cdot (x-1)$ , $y(1) = 2.4$ , $y(2) = 7.6$

Step-by-step explanation:

a) The values of the output for steady-state operation are:

$y(1) = 1 + 1.4\cdot (1)^{3}$

$y(1) = 2.4$

$y(2) = 2 + 1.4\cdot (2)^{3}$

$y(2) = 13.2$

b) The formula for linearization is:

$y(x) = y(1) +\frac{dy}{dx}|_{x = 1} \cdot (x-1)$

The first derivative of the formula evaluated at x = 1 is:

$\frac{dy}{dx}|_{x=1} = 1 + 4.2\cdot (1)^{2}$

$\frac{dy}{dx}|_{x=1} = 5.2$

The linearized model is:

$y(x) = 2.4 + 5.2\cdot (x-1)$

The output at x = 2 is presented below:

$y(2) = 2.4 + 5.2\cdot (2-1)$

$y(2) = 7.6$

Linearized model offers reasonable approximations for small intervals.

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3 years ago

Solve the system. 9=4x-2y 2x+6=y

Digiron [165]

Step-by-step explanation:

4x-2y = 9 ...1

2x-y = -6 ...2

if ...2 × 2

4x-2y = -12

9 is not equal to -12

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Which three lengths could be the length of the sides of a triangle?

Firdavs [7]

Answer is
<span>1: 6cm, 10cm, 9cm

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6 + 9 >10
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</span>

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X - 17 = -57
-17. -17
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Fittoniya [83]

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Step-by-step explanation:

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