xdx g) 7x + 2) h)f sin(In x) dx of xe" dx

Q: 3) Find dy dx a) y = x+In(sec 3x) %3D In(x+)

A: solution:-

Q: The linear approximation at x 0 to sin(2x) is A + Bx

A:

Q: What is dy/dx of 1/2e^2x

A:

Q: 2FI 2 sin nx dx cos nx dx =0, where n integer. %3D !! 0.

A: Note: -     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] True or False.

A: Given statement If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] is false.

Q: Let y tan 1)2x then dy/dx at x-1 is

A:

Q: 3. Find a result by using exact for a. cos(x + y) dx + (3y2 + 2y + cos(x + y))dy = 0 2)dx

A:

Q: af dy of f(x, y) = tan (x²y³ + 2xy)? What is the

A: Given:     To determine:

Q: dy Find for three only: dx 1) y = In(cos x . Inx²)

A:

Q: If y = (4x) sin ( 3z) then %3D dy dx (Be sure to express your answer in terms of x)

A:

Q: Compute dy/dx if sin(x) = cos(xy^2

A:

Q: cosxdx 17. - secx+ tan x [2sin(3x)cos(5x)dx 18. [(sin y +2cos y)'dy 19. 20. ſcot'(2x)dx 21. (sin“…

A: solution is given below

Q: dy Evaluate dx at point (4,2) given 3(x² + y²)² = 100(x² – y²).

A: Answer and explanation is given below

Q: (b)/ Use the Trapezoidal Rule with n = 4 to estimate (x' + 1)dx.

A:

Q: The linear approximation at x 0 to f(x) = sin(6x) is:

A:

Q: 1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

A: We know that integration of xn is xn+1 /n+1. And integration of 1/x is lnx +c.   Here i attached the…

Q: find dy/dx where y=sin^3x+cos^6x

A: Given:

Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

A:

Q: followin COSX 3. f- dx 1+sinx 4. f (sinx + cos x)² dx 203 (y² +1) 20 dy 5. f

A:

Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

Q: find dy of X sin 2y =YCO52X

A: Given: x sin 2y=y cos 2x To Find: To find dydx.

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

A:

Q: S2ta J 2tan x In (cos x) dx=

A:

Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

A:

Q: f [Mesin(2x) dx = e$in(2x) + C, then the M is equal to- If

A:

Q: Find dy/dx in terms of x and y if arctan (x^3)=xy^3?

A: To find the derivative of the given function.

Q: 10. J(3x3 — 5х + sin3x) dx -

A:

Q: (2y cosx + sin* x)dx sin x dy, when x = y = =,y= 1

A: Given - 2ycosx + sin3xdx = sinx dy , when x = π2, y = 1 To find - Solve the following differential…

Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: Find where y(x) is defined by d²y dr? (a) 3x2 – e2, (b) sin 3x + cos r, (c) 1+x – x2 + In r. - -

A:

Q: d 1+ tanhx - Show that dx V - tanh x

A: To show: ddx1+tanhx1-tanhx4=12ex2 Simplfiying 1+tanhx1-tanhx,…

Q: B. Verify that dz/dy dz/dx 1 =. If xy + z = sinz.

A:

Q: 2X Qul If y = Fird dy e %3D (x? +1) (I+ sinx)

A: We use logarithmic differentiation

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

A:

Q: Evaluate dy/dx at x=2 and y=3  if   x4 +  y4 =16.

A:

Q: find dy dx ² +F y = 3 casch + Cosa 3 and x = Sin²³ o

A:

Q: Solve the Linear DE dy/dx = 1+ 3y tan x

A: I have stated the used formulas in the solution.

Q: 7)(x+tan y) dy sin 2y dx

A:

Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x = 5.² in six…

A: Given integral is ∫0πsinxxdx. We have to evaluate the given integral by using composite trapezoidal…

Q: , find dy/dx. х • 7x² V2 + cos³t dt 126. y 125. y = V2 + cos³t dt 128. y 127. y = dt 12 + 1 dt 3 + A

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Q3) Find dy/dx if 1- y= In /x 2- y3xsin

A: 1) d(ln(x))dxApply the chain rule: 12ln(x)d(ln(x))dx

Q: Find dy/dx if y = In (tan(x). 3sec(x) + /sin (x³)

A:

Q: Find dy/dx.   e4x=sin(x+3y) dy/dx=

A:

Q: Find dy/dx implicitly. exy + x2 - y? = 11 |

A:

Q: y=sin-1x

A:

Q: on the right. Prompts Submitted Answers D Ssin(3x)sin(4x)dx S(cos(x) - cos(7x)dx} Jsin(3x)cos(4x)dx…

A: