If f(x) = 3x + 3, g(x) =2x? - 7x- 2, and h(x) = 7x? - 3, find g(0). %3D g(0) =D (Simplify your answer.)

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: If f(16x*- 16x³ + 4x²)dx = F(x) + C, then F(x) %3D

A: Formula:∫ xn  dx  = xn+1n+1 + C   Integral:I=∫ (16x4-16x3+4x2) dxI=∫ 16x4 dx -∫16x3 dx +∫ 4x2…

Q: Is (x+4) a factor of F(x)=2x^3+5x^2-5x+28? How do you know?

A:

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

A: To solveg(x)=-4x+11x-2

Q: Find the general solution of the equation x' + 5x(t) = 3.

A:

Q: -x³ (7x + 1) (3x + 6)5 f (x) = In

A:

Q: I know this question was already asked and answered, but the answer is incorrect, please help!   A…

A: Given data C(x)=13x+108,  R(x)=7x.

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

A:

Q: (x3-2x2+1)dx (x2-2x+5)2

A: Let I=∫x3-2x2+1x2-2x+52dxx3-2x2+1x2-2x+52=a1x+a0x2-2x+5+a3x+a2x2-2x+52Multiply equation by the…

Q: 2. f(x) = x 3 - 10x 12 = 0 a.

A: We use synthetic division method

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)%3D3X2 4x+2, wha a. -7 b. 0 С. 7 d. -1 e. 1

A: Given:fx=3x2-2 and gx=4x+2f+g-1=

Q: Solve the initial value problem: f(x)-x7+12x+17 and f(0)=3.

A: We will rearrange and then integrate both sides to find the solution of the given initial value…

Q: (d) f(x) = 2x³ +6x² + 6x +5 %3D (e) f(x) = x³ (x + 5)² %3D

A: Graph the following function: (d) f(x)=2x3+6x2+6x+5 (e) f(x)=x3(x+5)2

Q: 3 For the given equation f(x) = x³ +a2 %3D 6x + 10

A: f(x)=x^3+3/2x^2-6x+10 f'(x)=d(x^3+3/2x^2-6x+10)dx f'(x)=3x^2+3/2(2x)-6(1)+0 f'(x)=3x^2+3x-6 take…

Q: For which values of a and b does x + a = b have a solution in Z6?

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+110 and a revenue function R(x)=6x. When…

A: I am going to calculate that when the company will start to run on profit just is when revenue…

Q: If f(x) = x*e*, then f"(x) = A 12x²e* B e(x* + 4x?) © e*(xª + 4x3 + 12x²) ex(x4 + 8x3 + 12x²)

A: Given; f(x) = x4ex

Q: B1(b): Solve the initial value problem : f'(x) = x10 + 12x + 12 and f(0) = 7.

A:

Q: If f(x) dx = 37 and g(x) dx = 12, find [4f(x) + 5g(x)] dx. %3D

A: Given : ∫06fxdx = 37∫06gxdx = 12

Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

A:

Q: Find the general solution to x”-3x’+2x = e^t

A: First we find complementary function then particular integral and then general solution.

Q: If f(x) = x² – 5 and g(x) = 6x, then g(f(x)) is equal to %3D A 6x³ – 30x © 36x? – 5 6x² – 30 D x2 +…

A: Given:     To determine:

Q: How to solve for f(x)=x2+7 and g(x)=2x+5  A.(fog)(2)

A: Given :  f(x)= x^2+7 g(x)=2x+5 f(g(2))=?

Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

A:

Q: Find d^3/dx3(lnx/x2)

A: Given: d3dx3ln xx2  ……1

Q: f(x) = 6x® – 2x + 4.

A:

Q: 1) g(x) = 2x + 8

A: given function g(x)=2x+8 on diffrentiating this function we get

Q: A fast-food restaurant has a cost of production C(x) = 12x + 126 and a revenue function R(x) = 5x.…

A: The profit function is the difference of the Revenue function and the Cost function. The company…

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: Given f(x)= x² +3x –1 and g(x)= 2x +1; what is (fog)(x) 2x? + 6x – 1 4x? +10x+3 Option 1 O option 2…

A:

Q: f(x)=3x^2+9x+6

A: We have to find the nature of the given function

Q: If f(x) dx 38 and g(x) dx = 14, find [3f(x) + 5g(x)]dxr. Answer:

A:

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

A: Explanation of the answer is as follows

Q: 1. f(x) = 12x12 + 13x® – 99x³ – 12 g(x) = 6: + 10x-6 – 200x? 2. 3. y = 13x – 13- 28

A: Here I am attaching image so that you understand each and every step.

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: Find the consumer's and producer's surplus if for a product D(x) = 25 – 0.009x² and S(x) = 0.007x² .…

A: Given  Demand function is Dx=25-0.009x2 and supply function is Sx=0.007x2

Q: c) f (x) = -(0.75)4x+2 – 5

A:

Q: g(x) = 3x2 + 12x + 1

A:

Q: If f(x) dx = 37 and g(x) dx = 14, find [4f(x) + 6g(x)] dx. %3D

A:

Q: A fast-food restaurant has a cost of production C(x)=13x+95 and a revenue function R(x)=8x. When…

A:

Q: If f(x) dx 39 and g(x) dx = 12, find [2f(x) + 3g(x)] dx. %3D

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: f(x) = 8x + 2x−¹

A: answer is in next step

Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) > 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: A fast-food restaurant has a cost of production C(x)=13x+110 and a revenue function R(x)=8x. When…

A: GivenC(x)=13x+110R(x)=8x

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.