Q2/ Find the domain of the following functions 3x-8 A) f(x) x2-9x+20 B) f(x) = vx² + 3x – 28 %3D -

Q: What is g'(x) when g(x) = 1 3z²+6z+7 2z²+2x³

A:

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: f (x) = Vx² – 4.

A:

Q: Find the relative extrema of f (x) = 3x5 – 5x3 %3D

A: To find  The relative extremum of f(x).

Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

Q: Suppose we have a revenue function given by  R(x) = 3x3 - ax, Where a is a constant. What would the…

A: Average revenue=Revenuex=R(x)x

Q: Find the critical points of the functionf (x) = 4x³ – 3x and the inflection point of the function…

A:

Q: Minimize F = 36x2 + 36y2 with xy2 = 16

A: Given EquationF=36x2+36y2     ....(1)xy2=16                  ....(2)y2=16xSubstitute y2 value in…

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: When the qiven function f(x) = cx^3 - 3x^2 + dx - 4 is divided by (x+2), the remainder is -34. When…

A:

Q: Find the points of inflection of f (x) = x5/3.

A:

Q: Find the value of the constant k that makes the function continuous. 2x - 5x - 25 if x +5 g(x) = х -…

A:

Q: Find the value of the constant k that makes the function continuous. 2x2 - 4x - 16 if x #4 g(x) = х-…

A: Solving by continuous definition we have

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

Q: Q2. Maximise f = 34x, +29.x, +32.x, subjected to: 8x, +2.x, + x, < 54 3x, +8x, +2x, <59 * +x, +5x, <…

A:

Q: Let f (x) = x2 + 8 and g(x) 14 - x. x2. %3D

A:

Q: What is the maximum value of the function f(x) = −x2 + 2x + 4?

A:

Q: 2) Find all points of inflection in the function f (x) = x 3 + 3x2 – 24x + 12.

A:

Q: artwork has a cost function

A: Cost function C(x)=24x+300 Revenue function R(x)=75x Where x is the number of item made We know…

Q: The equation that does not represent a polynomial function is Oy = - = -x + Oy = x 10 - x + √22 + x…

A:

Q: Describe the long run behavior of f(r) = – 5r° + 2r - 3r2 + 3

A:

Q: The planning department of Abstract Office Supplies has been asked to determine whether the company…

A: Revenue is the amount made by selling the desk.  Let the number of desks sold be x

Q: Differentiate f(x)=(3x^(8)-x^(-2/3))(6x^(1/3)-e^(3x))

A:

Q: Find the value of the constant k that makes the function continuous. 2x - 2x - 12 if x 3 g(x) = X- 3…

A: For function to be continuous

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x#3 g(x) = x- 3 kx…

A:

Q: What value of b completes the function f(x) = −x2 + bx + 1?

A: We have to find the value of b that completes the function f(x)=-x2+bx+1.

Q: Evaluate f (2) for the square root function f(x) = V5x + 6

A:

Q: #3 continued from the previous page... f(x) = x² – 5x² +7x-13 | Domain Range

A: Given : f(x) = x³ - 5x² + 7x - 13

Q: Graph the step function over the interval -2< x< 2. f(x) = [x +3] %3D

A:

Q: f(x)=3x2-4x-10 is then f'(1) will be

A: Given, f(x) = 3x2-4x-10

Q: Describe the long run behavior of f(x)=-2(4)x+4

A:

Q: The critical points of the function f (x)=x' – 9x² +8 are

A: For critical numbers we put f'(x) = 0

Q: Calculate R5 for f(x) = 4x² + 8x over [-1, 1].

A: The given function is, f(x)=4x2+8x The interval is [-1,1] that is, -1,-35,-35,-15,-,15,15,15,35,35,1…

Q: What is the sum of all y-coordinates of the inflection points of f(x)=x-5x"+3x -2?

A:

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.

A: Topic = Functions

Q: 2. If f(x) = |x|- 2 is translated -5 units horizontally and +3 units vertically, what would be the…

A: The function is given by fx = x-2 To evaluate: The new equation obtained when the function fx is…

Q: Find the value of the constant k that makes the function continuous. 2x - 3x- 20 if x#4 g(x) = x-4…

A: A function f(x) is continuous at a point x = a iff:

Q: a) Determine the domain and range of the function z = 4 - V9 - (x² + y?).

A:

Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)

Q: What are the critical points for the function f(x) = 2x3 2a – 9x? – 108x + 5 x = 3 and x = -6 x = 2…

A:

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: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: Find the points of discontinuity for 3(х+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х — х2 b) f(x): 9— х2 -

A:

Q: Find the number of units that must be sold to break even.

A: