Differential function of x2 + 2x + 3tanx

Q: X+ 4x + 3

A: Given query is to eveluate the integral.

Q: 5) z = ecos(2x)

A: Given:z=ecos2x

Q: x³+3x f(x) = 2-4x+3

A: Given that fx=x3+3xx2-4x+3   Quotient rule for differentiation. ddxuv=v·ddxu-uddxvv2 Here,  u=x3+3x,…

Q: using at the y-cc

A: Given equation is: xy31+y2=85 Then we get, 5xy3=81+y2⇒5xy3=8+8y2⇒5xy3-8y2=8 Differentiating both…

Q: sin 3x + ax + bx3 lim %3D x3

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Q: tionship between x and y.

A: Linear Eq: 9.x=1,2,3,4,5y=f(x)=2,4,6,8,102y=xSo, this is the requiredequation of line.

Q: 1 dx -1 1+ 3x²

A:

Q: Partial Differentiation. If u = In(x² + y²) and z = sin-1 *(÷), evaluat-

A: Differentiate the following

Q: limx→0  (x^2+3) / (1−cosx)

A: given example is, limx→0x2+31-cosx

Q: QI. Find the length of the of the curve from x = 0 tox = 3.

A: First differentiate  wrt xand then use formula

Q: sinh (x) esin h-' (x) sin h- (x) Vx²+1 -esin h¯' (x) sin h Vx²–1

A:

Q: DERIVATIVE OF A TRANS FORM 2t Lte sen6t

A: Use Laplace Transform table:   Ltkft=-1kdkdskLft

Q: 6 2) Find the 3rd derivative of y = (x-1)2

A: Given: y=6x-12

Q: In 2x -dp-

A: To evaluate the integral: ∫2ln2xxdx Solution: Let substitute t=ln2x. Differentiating both sides, we…

Q: A.   Note on Jacobian dterminants and also give economic interpretation of total differentiation.…

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Q: Sin22xcos2xdx integration from -1 to 1

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Q: limx→0  xcos(x)-sin(x)/x^3

A: Given: The limit limx→0xcosx-sinxx3, To find: The value of the limit.

Q: lim cos2x-1/sinx x-> 0

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Q: sechx+cshx b) prove that e2x cshx-sechx

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Q: Use

A: We use exponential shift theorem.

Q: Integration of b/1-sinbx dx

A:

Q: Finding the derivative of f(x) = 2x2+3x-1, using definition of derivative %3D A- В BIB:

A: Our objective is to find the derivative of f(x) using definition.

Q: ду if cosh(3x?y) %3D х + In(e*У + 1) ax

A: Given that cosh3x2y=x+lnexy+1                            ……(1) We have to find ∂y∂x Partial…

Q: Show that

A: Given: verify that secx=sinxcosx+cosx1+sinx for verifying given identity, we solve left hand side…

Q: Partial Differentiation. If u = In(x² + y?) and z = sin-(=), evaluate the following: azu 1. ax azu…

A: Here is the solution of the given problem.

Q: refertoihe Furction (f. thXX f(x)%=X+10 D=DX hox-2xt7 Dox²+3X+n x2+3X+17 Oe-X2-x+3 40-X2-X十9 2.

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Q: 3 2/x + 5Vx x, 3,

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Q: ar approximation or differential to approximate the value of 10 using the fact

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Q: f f(x) = x²√Inx² x . find the derivative of this function f'(x) 1-In x² x²√√In x² A. f'(x) = B.…

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Q: Use u-substitution

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Q: ropriate integrating factor after transforming it into linear u wstitution of 2

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Q: integration for

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Q: 2. tanh x (12) tanh(2x) = %3D 1+tanh x

A: Answer

Q: LINEAR DIFFERENTIAL OPERATOR N FUNS TIO

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Q: valuate f sin³ 2x cos³ 2x dx.

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Q: | cos³5xsin17xdx

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Q: sec2 x 2. csc2 x = %3D sec2 x-1

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Q: sech x+csch x Q3: prove that e2x %3D csch x-sech x

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Q: Use differential to approximate the value of

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Q: 7topic: implicit differentiation

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Q: DEFINITE INTEGRAL ACTIVITY Find 01x2dx Find 24t2dt Find 12x3-2x+5dx Find -10x(x2-1)dx Find…

A: 1) Given:    01x2dx           =∫01x2dx  we know that ∫xndx=xn+1n+1           =x2+12+101…

Q: Using Integration By Parts, x Arcsec 3x dx=uv- -Svdu 了 Find uv- x² Arcsec 3x – 2 dx 2 x²-1 3 x…

A: The given integral is: ∫x sec-1(3x) dx

Q: 5. 2х + Зу\ %3 х2

A: Given :  2 x + 3 y 4 = x 2  Find :   implicit differentiation

Q: x+13 dx х+4

A: 1) Evaluate: ∫3x2+14x+13x+4dx

Q: Integral of x^2-3x-7/(2x+3)(x+1)^2 dx

A:

Q: lim sin(2z) = z-/3 %3D /3 2. 1/2

A: We need to find limx→π3sin2x