f(x)=6x-4 and g(x)=2x2+5, find (gof)(x)

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: -2x2 f(x) = x² – 16

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Q: f z-3x2- 4хy3 +6х,find. дудх

A: Given z=3x2-4xy3+6x we have to find ∂2z∂y∂x

Q: Find solution using graphical method MAX Z = 5X1 + 4X2 subject to X1 - 2X2 = 3 and X1,X2 >= 0

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Q: f(x) = 2x³9x² + 12x − 3 -

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Q: -2t x' – 5x = -e", x(0) = 3

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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: xy' - y - 5x* – 3x2 + 2x = 0 when x= 1 and y = 2

A: Given differential equation is xy'-y+5x4-3x2+2x=0 we have to solve it when x=1 and y=2.

Q: find maximum and minimum of f(x)= 3x2+15x2-36x+10

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Q: Find solution using graphical method MAX Z = -2x1 - x2 subject to -3x1 - x2 = 0

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Q: V4-x2 i * " 4-x2-y2 Jx²+y² ydzaydx 1-

A: As the limit of the integration of y and z are function of x and x,y respectively. So to find the…

Q: f(x) = x* - 4x° + 7x2 - 16x + 12; 3

A: Follow the procedure given.

Q: In f (x) = -3x* + ax³ – 4x2 + 2x + 11, if f(3) = 40, What is a?

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Q: 1. f(x) = - 6x² + 11x - 3.2

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Q: (z)6 x) = x2 – 3x - 4, g (x) = 2x² + 5x + 2 and h (x) = 2x2 – 5x – 3.

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Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: If f (x) = 2x2 - 5z, solve f (x – 2). %3D

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Q: Find the break-even point F(x) = 40x^2 -60x +228 G(x) = 23x^2 - 20x + 3000 %3D

A: At break even point F(x)=G(x)

Q: what is x-intercept of x^3-2x^2+4x+1?

A: Suppose given graph of equation is   f(x) = x3 - 2x2 + 4x +1

Q: of f (x) = 1³ + 2z² + 3x + 6?

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Q: p6x² – x – 14 7. J4 x² – 2x – 3 -

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Q: x° +2 y=- e3x +9

A: Given: As x→∞, y=x6+2e3x+9 To find: limx→∞x6+2e3x+9

Q: What is the Discriminant of the equation x- 3x + 2-0? and what does it represent?

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Q: Vx - 5 h (x) 2x2 17x +21 -

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Q: Find (fog) (4) when f(x%=D2x+20and glx)=-2x -8x+8

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Q: The total costs for a company are given by C(x) = 2000 + 40x + x^2 and total revenues are given by…

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Q: 2. How many, and what type, of solutions exist for the function f(x) = x - 3x- 27x + 19x² +114x-72?

A: Given: f(x)=x5-3x4-27x3+19x2+114x-72

Q: f(x) = -4x2 + 16x + 6

A: Given data:     The given function is: f(x)=-4x2+16x+6. a) Differentiate the given expression and…

Q: f(x)=(3x3-x2-27x+9)/(x2+4x+3)

A: Answer and explanation is given below...

Q: 9-2-y (x² + y² + z*)% dzdydx

A: Given integral is ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy dx Take  I= ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy…

Q: Solve the initial condition problem: f"(x) = 60x³ + 24x², f(2) = 239, f(-3) = 254

A: f''x=60x3+24x2 take integration  ∫ f''x=∫ 60x3+24x2dx f'x=∫60x3dx+∫ 24x2dx f'x=60x44+24x33+C…

Q: Q2/ Max and Min F= 2X1+ 5 X2 using graphical method: X1+2X; < 60 Xi+X; 2 30 X1-2X; 20 X1, X; 20

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Q: f (x) = 3c³ -3x² + -3 at x= - 1

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Q: 2. f(x) = (8x³ – 7x)(7x¬ + 5x³) at x = -1

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Q: 4. f(x) = x4 -4x -9x2 + 16x+ 20; r= 2

A: Put x=r to verify ,whether it is factor or not

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: x°-x°+4x* -6x°+2n²- 8x t8=0 Solue for x,

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Q: 3x+|2x-3|-2 , where x less than 1

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

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Q: 3x* + 9x3 is x-0 5x4 +3x³ 7. lim А. 2 В. З С. 6 D. nonexistent

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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: How do I solve

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Q: 2/ Find domain of y = x2-7x+10 x2–3x-5

A: on solving this we get

Q: Does x =12 satisfy the equation 16 - 1/2x = 3/4x +1?

A: Given equation,  16-(1/2)x=(3/4)x+1 X=12 satisfy the above equation if L.H.S of above equation is…

Q: Q2. By using simplex method, maximise f = 2x, +3x, subjected to: 5x, +3x, <105 3x, +6x, <126

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Q: - f(x) = 4x² – 10z + 11, 0 < ¤ < 7.

A: fx=4x2-10x+11;0≤x≤7 Differentiate the above function with respect to x. f'x=ddx4x2-10x+11=8x-10…

Q: f (x) = x² and g(x) = 3x – x² Зх — -

A: Let f1 and f2 are the two function of two curve .Then area between them         A = ∫lower…

Q: -2x *(6x-15x² +9x) =x'e* D² -D+3 true Error

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.