P(x) = x3 - 6x2 + 3x + 10; – 1

Q: *(x) = x3 – 2x + 4 at a = 1

A: Given query is to find the value of the function at indicated point.

Q: f(x) = V2x + 6

A: Given function is, f(x) = 2x+63=(2x+6)13 Tangent line of the function at x = 1 is given by,…

Q: f (x) = -2x2 + 3x - 4

A: Given- fx=-2x2+3x-4 To find- The solutions of the above quadratic equation. Identity Used- The…

Q: Find particular solution of a yd-y'= 2sinx 11

A:

Q: f(x) = 4x"+9x- 7x x²-7x²-14x+2 3

A:

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: Find the value of x of  x^3-3x^2+3x-1

A: We have to find the value of x  of  x3 - 3x2 + 3x - 1  Put x = 1 1 - 3 + 3 - 1 = 0  So ,  x = 1 is a…

Q: find (f-g)) wherefa)=-7x²+ 8n-4 and g (x) =-11x+2-1Mx²

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Q: f(x) = 2x³9x² + 12x − 3 -

A:

Q: f(x² - 8x +21)²

A:

Q: What is the result of completing the square for f (x) = x2 + 1?

A:

Q: F(x)=x10+2x9+3x8+ .. +9x2+10x +11, and a =1

A:

Q: f(x) = 3/7x² –- 2

A: we have to find derivative

Q: f(x) = 3x² (1 + 7x-3

A: The given function is:fx=3x21+7x-3

Q: Find the interval of increase of p(x)=x2+5x+6

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Q: F(x) = (x² + 4x + 7)°, then æ) = 2) =

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Q: what is the constant of of x2-4x-5=0

A: Given, x2-4x-5=0

Q: f (x) = x' - 3x -9x+1

A: Given,          fx=x3-3x2-9x+1

Q: y = x2/2x2 + 3 at x = 2

A:

Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x – 0.7x² and C(x) =…

A:

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

A: Follow the procedure given.

Q: Find the domain of f

A: Given: fx=4x-3x2-4. Here, fx is defined only when 4x-3≥0 and x2-4≠0. When 4x-3≥0, x≥34 When…

Q: x- y- 2z =-6 3x + 2y = -25 -4x + y - z = 12 Q12:

A: We have to solve the given equation.

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

A:

Q: 1. f(x) = - 6x² + 11x - 3.2

A:

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: 2x-x xp - (r-1)° (x²+1) -0-

A: Given ∫-∞0 2x-x3x-12x2+1 dx                         =-∫-∞0x3-2xx-12x2+1dx…

Q: p6x² – x – 14 7. J4 x² – 2x – 3 -

A:

Q: x° +2 y=- e3x +9

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

Q: A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

A: Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

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

A:

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

A:

Q: fx+ h) – f(x) otient, fx) = -2r² - Sx – 8

A:

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: S- (x²a*)% 2 군

A: solution:- let x = a sec theta.

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

A: Answer and explanation is given below...

Q: 2. Find the x-intercepts for g(x)= 3x² -12x² - 36x

A: To find the x intercept we have to put y = g(x) =0

Q: find the value of (a) if the equation: f(x)=x2 – 2ax+9 has one root: -

A: The given equation is fx=x2-2ax+9. It is given that the equation has only one root. It is known that…

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

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Q: f (x) = 3x^3

A: Given, f(x)=3x3

Q: 3. What is (x + x) / (x² + 1)?

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: (x) = x² - 2x - 5 8CX=6x-1 N of G

A:

Q: How do I solve

A:

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) = -x2 + 8x – 16.

A: Consider the graph of the equation y=-x2+8x-16,

Q: find the equation for x in y=3x-x^3

A: Given equation is y=3x-x3. Find the equation for x.

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.