If f(x) = 2x2 – 3x + 1 and g(x) = x + 5, what is f(g(x))? %3D - A 2x2 + 17x + 36 C 2x? – 3x + 6 B. B 2x2 + 17x+ 66 D 2x2 – 3x + 36 -

Q: Find + 2x + 3 d x2

A: ∫(7x2+2x+3)dx=∫7x2dx+∫2xdx+∫3dx∫(7x2+2x+3)dx=7∫x-2dx+2∫xdx+3∫dx∫(7x2+2x+3)dx=7x-2+1-2+1+2x1+11+1+3x0…

Q: Find: (fog)(x) (gof)(x) (fog)(2)    f(x)=7x+1 and g(x)=2x^2-9

A:

Q: -4x + 11 g(x) = %3D x - 2

A: To solveg(x)=-4x+11x-2

Q: find asfog) () 6) (gof) () f(e) = 2x-6 %3D g (x) = 3x-) ニ

A:

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

A:

Q: 5. f(x) = 3x2 + 6x + 2 a= b= C= h= k=

A:

Q: g(x) = 3x^2-2x h(x) = 3x + 3 Find (4g-2h)(1)

A: We have to find 4g-2h1 when g(x)=3x2-2xh(x)=3x+3 Here, gx=3x2-2x4gx=43x2-2x=12x2-8x and,…

Q: - 9x²-6x b) f dx x3-x2

A: Given: ∫9x2-6xx3-x2dx for integrating this we take x as common from numerator and denominator…

Q: If f(x)=3x+1 and (fog)(x)=6x² +9x+4, then g(x)=...

A:

Q: If y" = 9x + 2x -1 then the particular solution is:

A: given differential equation  y'' =9x2+2x-1

Q: Find f′(x) and f′(c).

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: If f(x) dx = 4x7 – 6x5 + C, find f(x). %3D -

A:

Q: . f(x) 3D 3x*-4x° +6

A: Local maxima would be the point in the particular interval for which the values of the function near…

Q: Find fg.f(x)=5- x²,g(x) = x² + 4x – 12 %3D fg)(x) = x - 4x³ + 17x² + 20x – 60 %3D (fg)(x) = -x*- 4x3…

A:

Q: f(x)= -3x2 -30x -9 b = C = c = a = h = k = 2.

A:

Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: What is the leading co-efficient of. 6x -9 f(x) = 1 x ²³² 4 +

A: If y = ax^2 + bx + c  than leading coefficient is a

Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

Q: C(4x – 2x2) 0 < x < 2 - f (x) = otherwise

A:

Q: Solve using the chain rule f(x) = 6/2x – 5 12 A. 6V2x- 5 В. 2х-5 6. C. 12x/2x –5 С. D. V2x-5 - O A O…

A:

Q: (b) g(x) = (1+4x)*(3+ x – x²)®

A: ddxuv=vdudx+udvdxHere u= 1+4x5, v=3+x-x28dudx=51+4x4×4  ,   dvdx=83+x-x27×-3x2g'x=3+x-x28  5 1+4x4 4…

Q: a)f(x)= 3+5 b) gx) =4+ V3+2X 2メー1

A:

Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

A:

Q: Find d3y If y= W3-2x dx3

A:

Q: f(x)=x^2+7x and g(x)=9x+1 (fog)(x)= (gof)(x)=

A:

Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

A:

Q: Find fg.f(x)=5-x²,g(x) = x² + 4x – 12 (fg)(x) = x - 4x³ + 17x2 + 20x -60 (fg)(x) = - x*- 4x3 + 17x2…

A:

Q: 32.) If f(x) = 3xr + 2 and g(x) = 2x² – 3, find 6f(-2) + 7g(1). %3D %3D -

A: We are authorized to answer one question at a time, since you have not mentioned which one you are…

Q: g(x) 4x-3 and h (x) = 3x+4 g(n(-2)) then what is

A: The functions gx=4x-3 and hx=3x+4 then we have to find gh-2.

Q: 2x + 2z = 12 x-z =4 provide a graphical solution.

A:

Q: If f (x) = 3x + 2 and g (x) = x² - x, find the value. %3D 8(-3) =

A: Given query is to find value of g(-3).

Q: a. f(x) = 4x3 b. f (x) = 1 4r2+3 c. f(x) = 3x³ – 5

A:

Q: g³ + x² + 2x+1 d.x (x² + 1)(x² + 2)

A: Explanation of the answer is as follows

Q: If f(x)=f(x)= x3+5x2+6xx3+5x2+6x and g(x)=g(x)= x+2x+2 , what is the simplest version of…

A: given function:-    f(x) = x3 + 5x2 + 6x    g(x) = x + 2

Q: f (x) = 3x^3

A: Given, f(x)=3x3

Q: If fx) 3x 1 and g(x) 4x + 3, what does gfx)] equal? %3D A) 12r 1 C) 12r2+5x 3 B) 12x +8 D) 12x2 +…

A: Composite function: A composite function is a  function, where a function is substituted inside…

Q: 12) lz) - 3x - 2r glx) - 3x - 5 Find (f gX1)

A: Due to Bartleby guidelines, only 1st question can be answered if multiple questions have been asked.…

Q: f(x)36x-4 g(x)%3D-7x-11

A:

Q: f (x) = %3D -2x2 + 10x – 12

A: The given function is f(x)=2-2x2+10x-12 We have to find,  i) x-intercept ii) y-intercept iii) Domain…

Q: g(x)= {Vx-4 ifx24 [4-x %3D if x <4 8(-3) b. g(13) a.

A: Given: gx=x-4  if x≥4 4-x  if x&lt;4 To Find:  To evaluate the following.a g-3 b g13

Q: f(x) = -4x+1 g(x) = 4x +3 a. (fog)(9) b. (gof)(-4) c. (fog)(x)

A:

Q: How do I solve

A:

Q: Find gf(2) when f(x) = 6x² and g(x) = 4x+4 %3D %3D

A:

Q: (a) f"(x) = 20x³ – 12x² +6x (b) f"(x) =x– Vĩ (c) f"(x) = 8x³ +5, f'(1) = 8 - f(1) = 0,

A:

Q: 2. f(x) =x³ – 4x 3.

A: The given problem is regarding the extremum value of the function. For the second derivative test,…

Q: For fx) = 2x+ 1 and g(x) = x2 - 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x+ 2x- 6 O C. 2 - 2x- 8 O…

A:

Q: F(x) = 2x^3 -11x^2 -7x+6 and X=-1 is a solution,

A: Put value in function if get 0 then this the solution

Q: f(x)=20x2-7x    g(x)=11x-9 (f o g) (2)

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.