f(x) = 2x² +5x -3 %3D

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 d2y/dx2.  y = 2x2 + 1

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

Q: Find the profit function in terms of x p=250-x/50 C(x)=20,000+40x

A:

Q: f(x) = 7x + 10 g(z) = + 2

A: Given query is to find indicated function value.

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: 3. f(x) = /x, a = 4 =D4

A: Solution: The objective is to find the linearization of the given function

Q: 6x2 + 7x + 5 f(x) : /x X,

A: Given

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: 9x +1 d) / | 3 – g² + 9x – 9) x2 + 9x – 9) -

A:

Q: f (x) = 5ax – 2x².

A:

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

A:

Q: If P(x) = 1+ 5x – 2x represents the profit in selling z thousand Boombotix speakers, how many…

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: fa) -x+3 grx)= %3D What is 2F(x) gra)?

A: f(x)=x+3 and g(x)=x4 we have to calculate 2f(x)-g(x)

Q: 2x f(x) = x² - 4 %3D

A: Algebra Question

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: use Separation of Variables to find the general solution. y' + x2y = 0

A:

Q: 5. f(x) = 2x + 3

A: First write the formula and then put all the values and simplify.

Q: 2. f(x) 3D 6 + 4x4 — Зх5

A:

Q: -3x3 dx V5-x8

A: In order to solve the integration ∫-3x3(5-x8)dx,  Let us assume t=x45

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: (x – a)² +y² = a²

A:

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

A:

Q: f(x) = 6x® – 2x + 4.

A:

Q: 3. y = v2x' +x /2.

A: We need to find the derivative of 3. y=2x3+x

Q: f (x) = 2 – 25 V – 4x + 3

A:

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

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

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: b. ] ] 6x²-2x-1 3 4x -X d -dx

A:

Q: e* +x² – 2x + 4 f(x) = %3D 6.

A:

Q: (d) f(x) = 2x3 +6x² + 6x + 5

A: According to the guidelines we are supposed to do one problem

Q: f 12x -9x +2 dx 3.

A:

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

A: Explanation of the answer is as follows

Q: f (x) = x* + 2x %3D

A: given isfx = x4+2xdifferentiating both side with respect to xdfxdx=ddxx4+2x

Q: Find the number of units X that produces a maximum revenue R in the given equation. R= 36x2/3 -2x

A:

Q: J -dp- 2x² +3x + 1

A:

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

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

Q: (x²-2y+xz) dydzdx= -2°1

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

Q: y''- 2y"=cosh(2x).

A:

Q: c) f (x) = -(0.75)4x+2 – 5

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: 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.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.