2 lnt and y: where 1

Q: dy 80. VI + x dx xay + x. %3D

A: Given: 1+x3dydx=x2y+x2

Q: ¹In(1+x) -dx 0 X

A: Expand log series

Q: Soluce for dy dx Tn x +Vx y=.

A: we can find the differential using division rules as below

Q: 1 s vä (x + dx X

A:

Q: Differentiate. y= In [(x +2)° (x + 5 (x+ 7)°] [In [x+ 2)° (x +5)*(x + 7) ]] =O dx

A:

Q: Differentiate.

A: We use the quotient rule

Q: 2X Y=ln (3") +sec (Inx)+tan (ln5x)

A: We will differentiate the function and simplify.   The detailed solution is as follows below:

Q: dx sinh x - cosh x

A: To Evaluate: ∫dxsinhx-coshx Concept: i. ∫afxdx=a∫fxdxii. ∫exdx=ex+C

Q: X tangent line 2.00 m 35.00 m 35.00 m

A: Let the length MY is y, so the radius of the circle is (2+y). Now apply the Pythagoras theorem,…

Q: 3 Estimate dx using right endpoints for n = 3 approximating rectangles. 3 dx is approximately

A: Integration

Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

A:

Q: dy =x(1 – 2y) dx [v= }+ce*] 2.

A: Please refer the attached image for complete solution.

Q: Evaluate csch- x dx , 0 < x < 1

A: To find the integration of following csch-1x

Q: 2. Find x Inx dx

A: 2) The given integral is ∫x lnxdx

Q: Find the derivative of y = In (tanh x).

A:

Q: ۱۴ 14 g 3 3+1x 1= x² + 1× AND -FIND /dx WHEN X=2 =6.

A:

Q: dy If y = x (e* - 1), then %3D 6. dx

A: Given: y=x^2 ((e^ x)-1) To determine: d y/dx

Q: Differentiate. X y = 1/2 - 1²/²2 N|X d X dx 2 23). X

A:

Q: Question: Which graph represents  y = -2/3x - 3

A: The given equation of line is  y = (- 2/3)x - 3

Q: Solve the following ODE * (y+x*y²) dx+x dy = 0

A:

Q: da Vx(1+ x) 1. 8.

A:

Q: Let f(x) = sin (1– 6x*) + (1– Vx). Find f'(x). %3D

A:

Q: n/2 1 If cotn+5x csc?x dx = then K=...... п/4 n+k

A: given that                                                    ∫π4π2cotn+5csc2x dx=1n+k now…

Q: y' = e2x + y – 1

A: Using method of linear differential equation.

Q: csch- x dx , 0 < x < 1

A:

Q: 4 - 1.5x +1.3 – x 3 dx

A: