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2 years ago

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Engineering

1 answer:

Nata [24]2 years ago

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Does anybody know how to take a screenshot on a HP pavilion computer?

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2 years ago

Read 2 more answers

Find the derivative of y = sin(ln(5x2 − 2x))

pickupchik [31]

Answer:

$y = \cos[\ln x + \ln (5\cdot x - 2)]\cdot \left(\frac{1}{x} + \frac{5}{5\cdot x-2} \right)$

Explanation:

Let $y = \sin[\ln(5\cdot x^{2}-2\cdot x)]$ and we proceed to find the derivative by the following steps:

1) $y = \sin[\ln(5\cdot x^{2}-2\cdot x)]$ Given

2) $y = \sin [\ln[x\cdot (5\cdot x - 2)]]$ Distributive property

3) $y = \sin[\ln x + \ln (5\cdot x - 2 )]$ $\ln (a\cdot b) = \ln a + \ln b$

4) $y = \cos[\ln x + \ln (5\cdot x - 2)]\cdot \left(\frac{1}{x} + \frac{5}{5\cdot x-2} \right)$ $\frac{d}{dx} (\sin x) = \cos x$ / $\frac{d}{dx}(\ln x) = \frac{1}{x}$ / $\frac{d}{dx}(c\cdot x^{n}) = n\cdot c\cdot x^{n-1}$ /Rule of chain/Result

3 0

3 years ago

A controller for a satellite attitude control with transfer function G = 1 s 2 has been designed with a unity feedback structure

S_A_V [24]

Answer:

type 2, k = 4

Explanation:

(a) The transfer function of the controller for a satellite attitude control is

$G = \frac{1}{s^2}$

The transfer function of unity feedback structure is

$D(s) = \frac{10(s+2)}{s+5}$

To determine system type for reference tracking, identify the number of poles at origin in the open-loop transfer function.

For unity feedback system, the open-bop transfer function

$G(s)D_c(s)=\frac{1}{s^2}\frac{10(s+2)}{s+5}$

$=\frac{10(s+2)}{s^2(s+5)}$

Determine the poles in G(s)4(s).

s = 0,0,-5

Type of he system is decided by the number of poles at origin in the open loop transfer function.

Since, there are two poles at origin, the type of the system will be 2.

Therefore, the system type is

Type 2

check the attached file for the concluding part of the solution

5 0

3 years ago