A. Differentiate and simplify the result. 1. y = V4x + 3 log2(x² + 2) 2. y = 3vx2-3x+1 3. y = tan-1(sinh 2x)

Q: d dx A.sinh(Inx) B.–sinh(Inx) sinh(Inx) C.- X -cosh(x) D. X cosh (Inx) =

A:

Q: Find L[e-3t sinh 2t] s2+4 s+3 (s+3)2–4 (s+3)²+4 (s+3)2-4

A:

Q: Q2) A: Compute 2 at the point (1, 0) for the function dx S(x.y) = cot(4x + eln(sinzxy)) + sinh(3) +…

A: Consider the given function. f(x,y)=cot-1(4x+ein(sin2xy))+sinh(3)+log2x2

Q: 31. f(t) = arctan(sinh t)

A:

Q: Q1- Find dy / dx for the following functions : e0 -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

A: It is given that:…

Q: Q1 Prove that the differential equation below

A: Given,         (x-2y)dx+(y-2x)dy=0

Q: L{sinh 6t– cosh t

A: we have to find the value of L{sinh(6t)-cosh(t)}

Q: x'+z=et; x(0) = 1

A: Take z as constant

Q: 2. J T(x+1)((tan-1x)+9) 4. Zin10 log10 dx

A:

Q: Jse computer software to obtain a direction field for the given differential equation. Sketch an…

A: To plot the direction field for the given differential equation with an approximate solution curve…

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 ) 1 Add file 2- (3…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: dy log x If xY = ex-Y, prove that %3D dx (1+ logx)?

A: Introduction :

Q: Differentiate the following functions. Show your complete solution and box your final answers. 6. y…

A:

Q: Differentiate sinx (i) y = log((1 + vx)x²) (ii) y = Vcosx

A: Differentiation of a function at a point is equal to the rate of the change of the value of the…

Q: 23: Find The Domain of the Function. y = sin (log, x²]

A: Given: y=sin-1[log4x2]

Q: Differentiate the following using chain rule Y = In (cot 3x – 2) Y = log cos? 3x

A: We need to find the derivative of Y=ln cot 3x-2 and Y=log cos23x. First problem: Now,…

Q: dy Find if y = log5u, where u = cos5x %3D dx dy = - 5tan5x dx dy = 5tan5x dx dy = -tan5x dx None

A:

Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

A:

Q: This differential equation is linear. What is the P(x)? * Cosa dy + (y- cos'x')da = 0

A:

Q: Find the logistic differential equation of dy/dx=ky(1-y/L)

A:

Q: L{ e¬at sinh wt} =

A:

Q: dy._ y dx xlogx logx sin2x

A:

Q: dy Solve the differential equation for y if (1+9x²) 1 %3D dx

A:

Q: In(r) Find dy/dx using the method of logarithmic differentiation when y = (4+ 2x²).

A:

Q: Q1- Find dy / dx for the following functions : el -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

A:

Q: Which of the following will be an integrating factor for the differential equation dx

A:

Q: dy Q1) Find dx for : 1) y = log3(3x3 + x2)2 x In(sec- x)

A: I supposed to do only first question as our company guideline. Please repost other question as next…

Q: If e (3x + 2)e2* dy 3 4 using logarithmic differentiation. (b) show that +2 2.x-1 %3D (2x-1) dx 3x…

A:

Q: Q1- Find dy / dx for the following functions: -2 2.8ln2 eo Y= 4 5 sinh 9x * Inxy sino 3 log2 2

A:

Q: Q1: Find dy/dx of the following functions: 1. x?e? y = log2 2Vx+1,

A: Disclaimer: Since you have posted multiple questions, we will be answering only first question for…

Q: Let y = (r-15x)m(). Find dy using the method of logarithmic d.x differentiation. Express your answer…

A: We will solve the problem

Q: Evaluate the second derivative of mq4.5.png os (bVx³) f(x) = a ln sin(cx2) if a = 21, b = 0.5, and c…

A: Given that, f(x)=alncosbx3sincx2a=21, b=0.5, c=5Substituting the values of a, b and c, we…

Q: 19.) [(ycoth y² )log°(sinh y² )dy

A:

Q: Determine dydx of function g 1 g(x, y) = cos (Tx/T) + log3 (x – y) |

A:

Q: Answer the following using Variable Separable in Differential Equation. sinxsin ydx + cos x cos ydy…

A: Given: sinxsiny dx+cosx cosy dy =0 Solve this by Variable separable in Differential Equation.

Q: Solve the differential equation Integrating Factor by Inspection: xdx + ydy = (x² + y²)dx

A:

Q: Solve the ff. ordinary differential equation dy dx sin (x + y)

A:

Q: 3.1.1 L sinh 3t dt

A: The Laplace transform can be obtained using the table of the transforms. The integral for the…

Q: d21 0 is sinh(a) dx21 at x = 0 is

A:

Q: Compute dy/dx for y = log3 x

A: Our Aim is to calculate dydx for the function given below:-y=log3(x) -(i)

Q: Find dy using logarithnic dufferentiation dx Sinx Cosx tan?x 2-y=

A: Find dy/dx using logarithmic differentiation  Given y = x³√(1+x²)

Q: 3 7 use log differentiation to differentiate to find y prime (dy).   y = sin(x)x

A: Given function y = Sin(x)x , here we need to determine y\'.Let us use logarithmic differentiation.…

Q: Solve the ordinary differential equation (ODE) dxdt=5x−3 for x(t).

A:

Q: obtain the ava dient to Cu gra equation givey by メ= ln and sigh '2t wh 3.

A:

Q: 04: Find dy/dx for the following function:: (Choose only four) (1) y = sinh1(tanx) (2) y = 7esv2x+3…

A:

Q: dy Find dx by logarithmic differentiation. e2x – 1 y = In e2x + 1

A:

Q: 3. Evaluate the following derivatives: a) y = In[sinh(2x)] b) f(t) = tanh-1 VE

A: Derivative of the inverse hyperbolic function formula: -  ddx(sinhx)=coshx ddxtanh1x=12ln1+x1-x…

Q: Calculate the exact value of the intergral ∫ln(x)dx where b = 3 and a = 1

A:

Q: Let y = (x³ – 4x)(=) Find dy/dx using the method of logarithmic differentiation. Answer:

A: