For 2 y=ln 2r find y'when x-e. エ=De

Q: Which is equivalent to e(ß ln(2x)) + ln (ße2x) when ß is a positive constant?

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Q: 2. We have a plate of 12 x 15 cm and the temperatures on the edges are held as shown in the sketch…

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Q: 0.56=ln(y)     solve for y

A: For the logarithmic equation of the form logby=a use the property given below, logby=a is equivalent…

Q: 1 I = J dx (1-x²)Z %3D 3

A: It is known that: 1-cos2x=sin2x∫sec2x=tan x+Ctansin-1x=x1-x212

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A: We have to integrate  ∫22 1x3x2-1 dx.

Q: 106. y' = y² – %, Yı = 0 %3D

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Q: nd for z = ln(2x - y).

A: Given query is to find the derivative.

Q: dx 2(x - 2)²

A: To evaluate,∫1x2x-22dx

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A: Let us consider the given expression of integral as: I=∫ xx-4 dx After subtracting and adding 4 in…

Q: 0.08 dz Find /23e

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Q: calculate y" and y"'. y = x−9/5

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

Q: 8. · 2e²³ da dx

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Q: 1. L,(3x? – 2x³)dx 2. (x? – 1)va dx

A: We will solve the problem.

Q: Solve for x. x = ln ex=ln⁡e x=

A: ln ex=ln⁡e   i.e  ln e+ln x =ln e i.e  ln x=0 i.e x=1

Q: dx sinh3x tanh3x S

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Q: 5. J 3 V.

A: Our Aim is to evaluate the integral given below:-∫dxx73-(i)

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A: Evaluate ∫x-1x2x2+255dx=?

Q: Find y1 y=(ln x)-1

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Q: 63. x3 dx

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Q: find the go th deriva yive of Y= (08 3x

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Q: cosh x dx е e- 2х

A: Given integral is ∫coshxe-2xdx

Q: 2. dx ***S 1 - x4

A: Integral

Q: Given y = e-2", find y'. %3D

A: We will use the chain rule for derivative

Q: Find oy for dx2

A: