f (x) = %3D -2x2 + 10x – 12

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

A: To solveg(x)=-4x+11x-2

Q: y = e3x-2y +x² . e 2y

A:

Q: Find the x coordinate of the vertex: f (x) = x +5x+3

A:

Q: Find d2y/dx2.  y = 2x2 + 1

A: Let function f(x) be y = 2x2 + 1                        To find :  d2ydx2…

Q: solve (D^3-3D^2+3D-1)y=x^2(e^x)

A: Solve the differential equation:  D3-3D2+3D-1y=x2exD-13y=x2exy=1D-13x2ex   y=1D-13x2ex  =ex1D+1-13x2…

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: If  P(x)= 8 + 9x − x^2 represents the profit in selling x thousand Boombotix speakers, how many…

A: Given       P(x) = 8+9x-x2          → (1)for maximize profit find p' (x) and put itsqual to…

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: (a) y = f(x) = (-2x+ 2)*

A: we have to find

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: Solve (D3-3D2+3D-1)y=x2.ex

A:

Q: solve for (D³ -9D)y=0

A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

Q: y= - x+2x +3

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: y = - x+2x +3

A: Given,            y=-x^2+2x+3

Q: y²-6x²y=-9x ; y' at (1,3)

A:

Q: The profit function of a company is P(x) = -3000x² + 600x – 450, then the fixed cost of the company…

A: Clearly we can see that, Constant term in the expression of P(x) is (-450).

Q: x² 2. y- 3D1 4)

A: 2) standard form of hyperbola (y-k)2a2-(x-h)2b2=1   ....(1)given y2-x24=1(y-0)212-(x-0)222=1…

Q: Obtain the general solution. (D^2- 2D + 2)y = 0

A: Using solution of Linear Differential Equations with constant coefficients.

Q: c. f(-8x)√√3-4x² dx d. S dx 6x² (4x³-9)3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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: Solve 3x + 2y > 6 graphically.

A: Shaded area below is the graphical solution.

Q: dx V3-2x-x2

A: Explanation of the answer is as follows

Q: x° +2 y=- e3x +9

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

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

A: Given: d3dx3ln xx2  ……1

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

A:

Q: (x – a)² +y² = a²

A:

Q: 3 (x²-2y+xz) dydzdx = 0. -2 1

A: see 2nd step

Q: f (x) = 2 – 25 V – 4x + 3

A:

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

A:

Q: f (x) = 3xª – 3x³ – 5x² + 27x – 36 %3D -

A: Given Data: Polynomial function: fx=3x4-3x3-5x2+27x-36   To obtain the bonds, the leading…

Q: e* +x² – 2x + 4 f(x) = %3D 6.

A:

Q: (D³ – D)y 3x %3D -3x2 а. Ур -3 2. b. Ур 3x2 +3 2. С. Ур -3x2 +2 3x2 d. yp 2. ||

A:

Q: f (x) = 3x^3

A: Given, f(x)=3x3

Q: J -dp- 2x² +3x + 1

A:

Q: (x²-2y+xz) dydzdx= -2°1

A: Given        ∫03∫-21∫12(x2-2y+xz)dydzdx=

Q: c. y = x° - 4x 3 %3D

A: Given: y=x3−4x

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

A:

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

A:

Q: y= - x*+2x +3

A:

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

A:

Q: 3.y=1x² -2x リ=(x-2x)。 dy=$(x²-2x)*x (2x-2) -2x) 12 (2x-2 %3D /2-) メ 2メ-2 d メ-

A:

Q: 1) ys-x- 2 y2-5x + 2

A: Since you have posted multiple questions so according to our guideline we will solve the first…

Q: y=-x2+6x+1

A: To find the x-intercept, substitute 0 for y and solve for x   To find the y-intercept, substitute 0…

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

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

Q: find the solution of y''-2y'=x - e^3x

A: