- y = 3 csc 4x

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A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

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A: SINGLE REQUEST SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN, WE WILL BE ANSWERING ONLY THE FIRST…

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Q: ) DIFFerentiate y-2cec x - csC x

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A: Given the differential equation y" + y' = 0 The auxiliary equation is m2 + m = 0

Q: -2s H(s)

A:

Q: y" + 49y = 0 %3D

A: Given the differential equation y" + 49y = 0 The auxiliary equation is m2 + 49 = 0

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A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

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A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

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A: Given, The region between the circles ,  and , .

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A: Given that,  y=lnxx5 QUOTIENT RULE: If u and v are two functions of x then the derivative of the…

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A: Given :

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A: Radius of convergence: The radius of convergence can be found by applying the root test to the terms…

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Q: Differentiate. y = (x−√x)/(exx2)

A: The given equation is y=x-xexx2. Product rule: ddxf(x)g(x)=f(x)g'(x)+g(x)f'(x) Quotient rule:…

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A: The objective is to evaluate the given integral

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A: Given , y = 6xexDifferentiate with respect to x using quotient rule formuladdxf(x)g(x)=…

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Q: Differentiate.

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A: Given that : Graph of the function :

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Differentiate y = xe у'3

A: Apply product rule. (uv)'=u'v+uv'

Q: -8x' +9x² – 12x) dx

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: