Sheet No (1) 1- Evaluate (a) 1+4xy dxdy (ь) rsin'e dedr | dydx

Q: (2) cothx-1=csch?x %3D

A: To prove that  coth2x - 1 = csch2x

Q: Differentiate. f(0) = 0 cos(0) sin(0)

A:

Q: 6 tan (10x) dx

A:

Q: tan-lx dx 3+ 3x2 1. Evaluate

A:

Q: sin(3x)e°*dx

A:

Q: [2 3] x [58][y] a) X 元 201 9 = [] 18013-81 ||

A: We have to find .

Q: 2. 2 | sin xcos xdx

A:

Q: •2 1 dx o (2x + 1)3

A: ∫02 12x+13dx

Q: How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Methods of Undetermined…

A: Given: Given differential equation is y'''-4y''+2y'-8y=6ex-x2+1 We will solve this equation using…

Q: Find ds/dx if= y= In[(2x^3+7) (9x-2x^2)]^5 Hint: Use the Tattoo and the Properties of Logs

A: Given y=ln2x3+79x-2x25 Using properties of ln, 1) ln an=n·ln a 2) lna·b=ln a+ln b  y=5…

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

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

Q: 2tan-(x) dx = (e)None In2 In4 In2 In4

A:

Q: Evaluate d/dx { In√(x+1)}

A:

Q: sin(In x) dx

A:

Q: 3 3 | sin sin x cos xdx 5

A: It is integration problem.

Q: 3. arcsin (cos A 3

A: Consider  arcsincos5π3

Q: an=y TE TT/2 COSX, Cosnxdy

A:

Q: Find the derivative. 5х + 1 In 5x - 1 dx 5x +1 %3D dx 5x -1)

A:

Q: 1-C03 (2X dx

A: We have to evaluate ∫11-cos2x dx.

Q: Own examples of implicit differentiation

A: In implicit differentiation, we differentiate both sides of the equation where one variable is…

Q: 2. f3dx 3. f*²4 dx

A:

Q: Evaluate (*(x-2) (х-1)3

A:

Q: SVx In(x)dx

A:

Q: x-5 In x-5 dx In r

A:

Q: 1 dx 2 21+2*2 ху

A:

Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: 1 Evaluate – -dx 1+ 3sin"x + 8cos™x

A:

Q: 8. Find if y (sin x + cos x) sec x dx

A:

Q: Evaluate. fied -6 dr =

A:

Q: Question 7 Use U substitution to find each anti derivative NEATLY SHOW WORK thank you

A: Evaluate it.

Q: y = cos((TX)5)

A: Please see the white board.