a differential equation for the functions 2 A. y = 3x + x² - 4x D Find following е B. y e C. D. y = = y = sin (x) ½/2 y = x X Е. у= 7 exp (8x) Avr 90

Q: Find the 20th derivative of y = cos(2x).

A: y=cos(2x)

Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

Q: Find y' and y". y = cos?x

A: The given function is y=cos2x To find: y' and y''

Q: Find the 80th derivative of y = cos(2x).

A: The given function is y=cos(2x)

Q: Find y. Show the step-by-step solution. Simplify your answer. 1. y = in () 2. y = log(tan x') 3. y =…

A: 1. y=ln2x4x2-12. y=logtan x33. y=ln3+cosx3-cosx

Q: Solve this differential equation: dy/dx=y/x+√(1+y/x ) ; when x=1,y=8

A:

Q: 3. Find the second derivative of y= xlnx

A:

Q: An angle Θ is known to vary periodically with time, in such a way that its rate of change is…

A:

Q: х3—125 dy 5. у %3 х2+5х+25' dx х-1 + x+1 dy 6. у %3 б. dx

A:

Q: Find the time required for a square tank of side 6 ft and depth 9 ft to empty through a one inch…

A:

Q: The first derivative of y = sin( 4x + 3) is %3D а. - 4 cos(4x +3) b. 4 cos(4x +3) С. cos(4x+3) d. -…

A:

Q: 1. /2х— х2 dx

A: Given ∫2x-x2 dx The given term can be rewritten as ∫2x-x2 dx= ∫2x-x2-12+12 dx so we get…

Q: Determine whether the statement is true or false. If y = e?, then y' = 2e. True O False

A:

Q: 2. Find dy/dx: a. 3x? – (xy²)½ = 2y³ b. у%3D (сosx — ях)4x*

A:

Q: у %3D V1+ 2х (1 — х)-3

A:

Q: If r = sec(0), then dr = 1² - 1

A: Given information: x=secθ The derivative of the given information, dx=secθtanθdθ