B2. For the function f(x) = 2x³ – 18x?, determine the intervals where f is increasing and decreasing.

Q: 4x² – 1 f(x) = 4. For which intervals is 2x2 – 3x – 2 continuous? What types of discontinuities are…

A: Given the function f(x) = 4x2-12x2-3x-2 To find the continuous on Intervals:- f(x) =…

Q: Q1.Given: x? – 4 | when x 3 1.Find what values of ( a) and (b) that will make the function…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (d) Find the interval(s) where f(x) is decreasing.

A: There are mainly two ways roughly by which a function's behavior can be obtained and first method is…

Q: At which of the labeled points does f' (x) = 1? B

A: The graph of the function is given by To evaluate : The point at which f'(x) = 1

Q: Determine the intervals of concavity and inflection point(s) for the function f (x) = 3x – 5x“ – 1 -

A: The given function is f(x)=3x5-5x4-1

Q: Find the intervals where f(x) is decreasing and increasing.

A: Given,            f(x) = 2 - exx - 6

Q: y = f(x)

A: We can answer all the three questions as below.

Q: Juanita wishes to have a rectangular garden in her backyard with an area of 64 ft2. Letting x denote…

A: we know that area of rectangle =  length × width

Q: 3 Determine the intervals for which the function f(x) = x° + 18x +2, is decreasing.

A:

Q: Ex 2. Find the intervals of concavity for f(x)=x – 2.x³. 3

A: Given f(x)=x4-2x3 Differentiating with respect to x, f'(x)=4x3-6x2 Differentiating again with…

Q: Use the Trapezoidal Rule with n-6 to approximate. f(x)=sim2x.a=0,b=π

A:

Q: r(y) = Vy? – 6y ,2 бу

A: Consider the given function as ry=y2-6y5 Simplify as ry=y2-6y15

Q: Determine the interval(s) for which f (x) = - 2x² is concave down. 12 %3D

A: For the curve y=f(x) to be concave downward,  f"(x) < 0.

Q: •On what intervals) is the function y=-4x*+ (6x"n both increasing and cocave down?

A: Given,  The function  y = -4x2+6x17     We have to find the intervals in which function is both…

Q: (7) For the function f (x) = 0.25x - 2r3 Find intervals of concavity and inflection points

A: From  first derivative and second derivative of the given function we can answer to this question.

Q: 3) Find the interval where the graph of f(x)= -2x' +3x +36x-1 is concave upward or concave downward.…

A: The given function is fx=-2x3+3x2+36x-1. Using second derivative test, the concavity as well as the…

Q: Let f(x)=-4cosx and g(x)=2cosx+3 for 0<x<2pi solve for f(x)>(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx>2cosx+3 .

Q: Find the intervals on which the function is continuous. 1 46) y 7x+ 6

A: Given a logarithm function:find the intervals on which the function is continuous

Q: Determine the range of the following functions. Express your answers using interval notation. y =…

A: Topic-function

Q: For the function given by f(x) = 2x2 - 8 divided by x2 -1 , find the intervals where the function is…

A:

Q: Determine the interval(s) for which f(x) = x4 – 54x² is concave down. Answer:

A:

Q: Determine the interval(s) for which f(x) =- - 2x2 is concave down. 12

A:

Q: find the intervals where the function is BOTH decreasing and concave up. f(x) = (x^3) - (7x^2)-5x+9

A:

Q: Find the intervals, where the function f (x) is concave 12 %3D 20 up/concave down.

A:

Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval…

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: Use the graph of f to find the interval(s) on which f is decreasing., Where applicable, use interval…

A: we have to use the graph to identify where f(x) is decreasing.

Q: find the intervals on which f(x) is decreasing f(x) = 2x³ – 3x² – 36x

A:

Q: Ex 5. Find the intervals of increase or decrease for f(x) = (x– 2) Vx² .

A: We have to find the interval where derivative of f is positive and negative

Q: 4. Find the intervals in which the function f(x) =x³ – 6x2 +9x +30 is concave up/concave down. Also…

A:

Q: The profit P (in dollars) from sales is given by P = -200x2 + 2200x – 4600 where x is the number of…

A:

Q: Find the intervals in which the function f(x)=2x* +8x -5 is concave up/concave down. Also, find the…

A: Given a function of x.

Q: Determine where f(x) is continuous, algebraically. Enter the answer in interval notation.

A: Given data: The expression for the given function is f(x)=log18(10x+150)-7x. The given function is…

Q: Find the intervals on which the function f(x)=x4−6x2−6x+1 is convex upward and convex downward.

A: We find f"(x) using the power rule

Q: Determine the intervals where the function f(x)=x*-2x +3 is concave up and concave down. Indicate…

A:

Q: Find the intervals of concavity and the inflection points.  f (x ) =  x/ x 2 +1

A: Given: fx=xx2+1 for finding intervals of concavity and inflection points, we draw graph of given…

Q: For f '(x), what is the intervals of concavity and for f(x)= x°5-3x^4+l5? Find ANY inflection points…

A:

Q: Find the intervals in which the function f(x)= 2x* +8x -5 is concave up/concave down. Also, find the…

A: inflection points of y=2x4+8x3-5

Q: List the intervals of concavity for f(x)=10x³+27x² – 19. List all points of inflection.

A:

Q: On which interval is f(x) = x³ – 12x + 12 decreasing? ㅇ (-8;2) ㅇ (-8, +8) | O (-2,+0) O (-2, 2) O…

A:

Q: Let f(x) = e2sinx 1. Find the absolute extremum values off on the interval [7]

A: To find the extreme values of given function at given  interval.

Q: Ex 4. Find the intervals of increase or decrease for f(x)=- x² +1

A:

Q: Over which interval is the function f (x) = x3 -4x2 + 5x concave upward?

A:

Q: given the function g(x)= x^3-2x^2+x, find the intervals when g is concave up decreasing at the same…

A:

Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: Find the intervals where f(x) = x -x is increasing

A: We use the first derivative test to find the intervals where the given function f(x) is increasing.

Q: Find the absolute extrema of the function f(x) = x³ 23-a on the interval

A:

Q: 2, the interval of differencing being unity. E Evaluate

A:

Q: 26) The interval where f(x) is decreasing is?

A: Answer and explanation is given below...

Q: On which interval is f(x) = x – 12x + 12 decreasing? o (-2, 2) o (-00, 2) o (-0, -2) U (2, +0) ㅇ…

A: Let's find.

Q: Find the intervals on which the function f(x)=xlnx is increasing and decreasing.

A: