A page that is x inches wide and y inches high contains 30 square inches of print. The top and bottom margins are each 1 inch deep, and the margins on each side are 2 inches wide. Write a function for the total area A of the page in terms of x

Q: Differentiate the function. f(x) = (3x5 − 2)18

A: Consider the function:

Q: Differentiate the function. 3 + 6x g(x) 7 - 2x g'(x) =

A:

Q: Differentiate the function. (2x- 1)

A: Given:y=12x-15

Q: Graph the function. f(x) = 5x2 y y 4 4 2 2 - x 4 -4 -2 -4 -2 4 -4 -4 y y 4

A:

Q: Differentiate the function (x1/2+x-1/3)2

A: To differentiate the function:   y = (x1/2+x-1/3)2 Important formula:  dxndx=nxn-1

Q: Graph the function f(x) x + 1. 4 2 -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 3.

A: Given- fx=15x+1 To Graph- The above function.

Q: Differentiate the function. F(x)  =3/4 x8

A: Given Fx=34x8

Q: Determine whether the function is one-to-one.(a) y = 4x2 + 3(b) y = 2x + 3 - 5

A: Our Aim is to determine whether the function given below is one-to-one or not?(a)…

Q: Write the height h of the rectangle as a function of x.

A: In two-dimension cartesian-coordinate system, the value of a function at a point represented by the…

Q: Determine which function is even. A y=x+8 y=x +6 C y=4x +2x D y 6x-4x B.

A:

Q: Differentiate the function g(x) = 6x² + 11tanx.

A: The function is given by gx = 6x2+11tanx To evaluate: The expression of g'x

Q: Specify the domain of the function f (x) = /2x + 14.

A: Given : fx = 2x+14

Q: Differentiate the function. h(x) = x5 – 4x3 + 2)8 h'(x) %3D

A: The given function is  hx=54x5-4x3+28

Q: Differentiate the function. y = (x3 + x)/(x2 - x)

A: Here we have to differentiate the function;  y=(x3+x)(x2-x)

Q: Graph the function. 2) f(x) = X + 2)(x + 5) x2 - 36

A: We have to graph the function

Q: Write f(x) = 2x 4 - 5x 3 + 12x2 - 3x + 4 as the sum of an even and an odd function

A: Consider the function: fx=2x4-5x3+12x2-3x+4. A function can be written as a sum of odd and even…

Q: Differentiate the function, y = 4x² +5 + In (x + 1)

A: Differentiate the given function using the below formulas. ddxxn=nxn-1  ddxC=0        where C is a…

Q: Differentiate the function. 1 g(x) = - (2x3 + 3x + 5)3/4 g'(x) =

A:

Q: Differentiate the function.   y = 3ex - 7x

A: Given function - y = 3ex-7xDifferentiating on both sides with respect to 'x' - dydx = ddx3ex-7xdydx…

Q: graph the functions. f (x) = x3 - 2

A: Given fx=x3-2

Q: Differentiate the function. 4x -3) -5 f(x) = - 5 5x +5 f'(x) =

A:

Q: Differentiate the function. y = (x+2)(x² + 2x +1)

A:

Q: Differentiate the function.  y=x6/x

A: This function can be differentiated by taking log on both sides. Then after differentiation, values…

Q: The sum of two positive numbers is 210, then the function that models the product of the numbers is…

A: Let x be a positive number Given that: Sum of two positive numbers = 210

Q: Differentiate the function. x - 9x° +2 y = X y' =O

A:

Q: differentiate the function f(x) = x^2(2x+3)^5

A: The given function is f(x) = x^2(2x+3)^5

Q: Graph the function.   f(x)= −x+3 if x<2 2x−3 if x≥2

A: Given,            f(x) = -x + 3    if x &lt; 22x - 3    if x ≥ 2

Q: Graph the function f(x) = x2 - 4x - 5 in a rectangular coordinate system. If two functions are…

A: The given function is f(x) = x2 - 4x - 5.

Q: Differentiate the function. f(x) = 12x - 3+ 2x Select one: 4x4/3 +2 4x4/3 +2 4 - 3 4 +2 +2

A:

Q: Differentiate the function ƒ(x)=(1+2·x)^5

A: ƒ(x)=(1+2·x)^5

Q: Differentiate the function. y = 2x/2 - 3x

A:

Q: Graph the function. 4) (-x + 3 if x < 2 {2x -6 if x 22 f(x) =

A: Please see the explanation below

Q: Graph the piecewise function -4, xS-2 x- 2, -2 <xr < 2 (-2x + 4, x2 2

A: The given piecewise function is: f(x)=-4x≤-2x-2-2&lt;x&lt;2-2x+4x≥2

Q: Find and simply the difference quotient for the function f(x) =2x2 +x -7

A: given function fx=2x2+x-7

Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Determine the end behavior of the function fx) = -9x+3x +2x

A:

Q: the perimeter of a rectangle is 190 inches, if the rectangle is x inches long, find the function for…

A:

Q: Differentiate each function with respect to x. 2. y = (-3x5+ 1)3 3. y = (-5x3 – 3)3 4. y = (3x3 +…

A:

Q: Differentiate the function.

A:

Q: raph the piece-wise function.   f(x) = 6-2x  if x >2           2x^2-6 if x< or equal 2

A: Explanation: Given function is:                         To graph the piecewise function, we will…

Q: The sum of two positive numbers is 420,then the function that models the product of the numbers is…

A:

Q: Differentiate the function. 5V1 - x y = y' =

A:

Q: Graph the function f(x) = (x2 - x - 6)/(x + 1) in a rectangular coordinate system. If two functions…

A: Solution:- Graph of the function f(x)=(x2-x-6)(x+1)

Q: Differentiate the function ƒ(x)=(4x+3/5x−2​)^3.

A: fivenf(x)=(4x+35x-2)3 diffrentiate by division rulef'(x)=3(4x+35x-2)3-1((5x-2)4-(4x+3)5(5x-2)2)

Q: Graph the function. (). f(x) = 2 5+ 4+ 3+ 2- + -5 -4 -3 -2 -1 1- 2 3 4 5. -1+ -2+ -3+ 9个

A: Reduce the given function to simple form:

Q: (x)=(x²-3)' +x) 2 5

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.