( w"-y+ (x+ ¥)'y = In (금 + z) y(-}) = 1, y' (-}) = o %3D

Q: Find y as a function of a if y" – 8y" + 15y/ = 8e", y(0) = 28, y(0) = 14, y"(0) = 12. y(x) =…

A: We have to find the solution of differential equation.

Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

A:

Q: s(t) = 1/t^3;  (-6 , -1/216) s'(6)= ?

A: Given: s(t)=1t3−6<t<−1216s'(6)=?

Q: If h'(3) -1 and h'(1) = 5, then |h"(z)dr = %3D %3D (A) -6 (B) 4 (C) 5 (D) 6 (E) 9

A:

Q: Ex+ 8x3-72x?+4 三X'

A:

Q: if y= (1+e^x)X^3 then find y`

A:

Q: x' = 2 -5 1-2, X

A: We will find eigen values and eigen vectors of coefficients matrix from given system and then find…

Q: Find f'(x), f'"(x), and f""(x). f(x) = 4x? (2– 9x -3) f'(x)= f'"(x) =|

A:

Q: Find the y_(p ) of y^(')'-5y^(')-6y=18x^(2)+12e^(2x) 2

A:

Q: g(t)=4t^3+3t^2, find g’(3)=

A:

Q: y''''' - 3y'''' + 3y''' - y" = 0

A: To solve y""'-3y""+3y"'-y"=0

Q: If h'(3) = 5 and h'(1) =-1, then h"(x)dz %3D (A) -6 (B) 4 (C) 5 (D) 6

A:

Q: Exercise 1. Find 뿐 for y =DIn (골) (1A) + 3극 3z-2 z(r-1) (1B) 분 (1C) -= (1D) 를-3금 z-1-r z(1-1) (1E)…

A:

Q: Find dim(Q(a)), where

A:

Q: Evaluate y''' or d^3y/dx^3 of the function (1/3)x^3 + (1/3)y^3 = (1/3)^2  when x = 0

A: Given, 13x3+13y3=132.   The objective is to find y''' at x=0.   Now, 13x3+13y3=132y=91-3x333

Q: Find f '(x). f0) = (+4)5 f(x) f '(x)=|

A:

Q: Find g'(x) if g(x) %3D Зx е бх

A: Product rule of the derivative is, (uv)’=u’v+uv’ where u and v are the functions of x.

Q: a) If h(u)=-9e^(5u)^(4), then h'(u)= b) If F(x)=e^(4x^2+5x), then F'(x)=

A:

Q: 2y''' - 3y'' - 3y' +2y =(e^x + e^-x)^2

A: We have to solve the differential equation  For which we first solve the homogeneous equation and…

Q: Find y'. y = [In(x5 + 3)]2 y' =

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.