If * x=t -1, y = +t, find y"

Q: Find for y = x. -

A:

Q: If y=sech (kx") and (

A: Given,       y=sech-1(kxN)   and (1-289x10)(y')2=Ax2

Q: 1. Let y = x2 + x +4+ Find y'.

A:

Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: dy +y=e' xp

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Q: of ū at the poir 01

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Q: From the differntial equation by eliminating arbitrary constants :y=Ae-3x+Be2x

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Q: Find y'' in y = x(2x + 1)4

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Q: Find y' if y = x* Inx

A: Differentiate the given function using the product rule. y'=ln xddxx4+x4ddxlnx Use the standard…

Q: What is Arccot(-/3) if 0 < 0 < T?

A: Given that  arccot-3=? It is known that  arccot-x=π-arccot x So, arccot-3=π-arccot3=π-π6=5π6

Q: . Then Var(X+Y+Z) is equal to:

A: Here x , y and z are independent variables  So covariance between them are zero

Q: (5+2y)* dy

A: (6) Given- ∫-2-35+2y4dy To find- The value of the above integral. Identity Used- Using the power…

Q: in 4X when x dx

A:

Q: Find y'' in y = (1 - √x)-1

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Q: Evaluate. (In x)?dx

A: Given: ∫(lnx)2dx

Q: If y=t 4 then find y '

A: Given y=t4. We know that, ddxxn=nxn-1 Differentiating the given function with respect to t,…

Q: dx -=? S 3+2cosx

A: Given that a integration problem and we solve it by using general property of integration. We know…

Q: If Jo flx)dx= 31 and Jo gixldxX=16. find So'[ 4f (X\ + 6glx\] dx

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Q: e*Vex-1dx ex+3

A:

Q: Compute the following. -[/x5+17x3+39x²+13] dx

A: ddxx5+17x3+39x2+137=

Q: - Determine the value of y when x = 0-1 given that y(0) = 1 and y =?

A: Given that: y(0)=1 and y'=x2+y

Q: Find y" if y = cot(9x 2r+ 8).

A: Given, y= cot(9x4-2x +8)   To find: y''

Q: If y = (x+1)/(2x - root x' then y' will be?

A:

Q: Identify the x-values where ƒ is discontinuous.

A: From the given figure, it is observed that the above graph is not continuous at x2  and  x4.

Q: 1- dy 1+ 5/

A: we have to solve: ∫01y1+y5dy

Q: denote In°(x) dæ

A:

Q: Find the formula for dz Xx2

A: Given z=fx,y where x=est and y=s2t3 It is asked to find ∂z∂s.

Q: What is s′(x) when s(x)=5(e^x)^−4?

A:

Q: 4) Find y' if y= (x^+ax}*

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Q: malie (x+ 1) to (+VZ x +1) (x-Vzx t1)

A: To express: The expression x4+1 to x2+2x+1x2-2x+1. Formula used: x2-y2=x-yx+y x2+y2+2xy=x+y2…

Q: Evaluate using ALgebraic substitution y dy

A: Given  y3dy / (4-y2)3/2 We have to integrate this

Q: Find y'. y = 7x – In(x)

A: Given Y = 7x – n(x) y‘(x) = dy/dx = d/dx(7x – n(x))

Q: let lly) :x"y"-x (H42) y' + (x42)y

A: Given that Ly=x2y'' - xx+2y'+x+2y a) Show that y=x is a solution of Ly b) Solve Ly=x4ex

Q: Find the value lf x that makes DEF XYZ

A: Two triangles are said to be similar if their corresponding angles are congruent and the…

Q: Evaluate S X 2 ex² D dx

A:

Q: dr = a(p- 1)(q-), dt

A: In this question, we solve the given initial value problem dxdt=α(p-x)(q-x)withx(0)=0.

Q: Evaluate y" at x=2 and y=1 if   x4 +  y4 =5.

A: find second derivative

Q: In(x) Differentiate: y

A: Derivatives can be defined as rate of change of function with respect to an independent variable.…

Q: Evaluate fx² cosh x dx

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Q: Find y' for y= In (x/x^2+1)

A: Solution: The objective is to find the derivative of the given function

Q: . Evaluate e* dr dy 5y

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Q: 1) Find y" if y =7 (Answer must be in lowest term)

A: The solution are next step

Q: Evaluate ((x + sec² (Tx))dx

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Q: Evaluate In(x2-10x) dx

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Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

A: