II. Find dy/dx of the following functions: 1. y = cosh √√4x²+3 2. y= sec hx² x² +1 3. y=xcsche4x

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A: As equation is an homogeneous differential equation then put y =vx and solve.

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A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

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A: Please see the below picture for detailed solution.

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Q: 9. Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

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Q: 2. y = x³, y = 4x²

A: Given query is to find the area under the curve.

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A: If f(-x)=-f(x), then f(x) is called as Odd Function.

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A: SOLUTION-

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A: Given,  y=u2-1u2+1

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A: answer is in next step .please give a like!!

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Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

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Q: IF y = u+ + 3u2 & u = 2x Find dy dx

A: y=u4+3u2Differentiate w.r.t 'u'dydu=4u3+6u  --->1u=2xDifferentiate w.r.t 'x'dudx=2  --->2

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Q: ODE  Solve the homogeneous equation  dy/dx = x+3y/x-y

A: Use the homogeneous differential equation and simplify it

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A: The given region are:y=x+4 and y=x2-2xTo find the area.

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Q: t 2 If the velocity of a moving object is y(t) = --- 2 12 in meters per second, then what is its…

A: The veloctiy of a moving objcet is v(t)=t2-2t2 in meters per second.

Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

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Q: ODE  Solve the homogeneous equation  dy/dx = 4y-3x/2x-y

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Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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Q: y dx y = 9x+8 Find dx

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Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

A: let the height of tank be "h"Volume is given by VdVdt=0.1 cu. ft/hrh=2 ftV= 10 cu. ftdhdt=?

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Q: Find the average value of the function f(x)=x²-9 on [0,9]. The average value of the function…

A: Use the average value formula for finding the value

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Q: Suppose that 4x² + 2y² = t² and y=tsin 0. Find ду (27) ət 0 and at ?x

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Q: 5- A virus is spreading according to the function p(t) = 125(2)¹/4, where p(t) is the number of…

A: This question is related to Functions and rate of change, we will solve it using given information.