Consider the function : 3x^3  2x^2  4x + 1 Find the average slope of this function on the interval. By the Mean Value Theorem, we know there exists a "c" in the open interval (2,3) such that f'(c)
123,568 results
Math
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. f(x) = 4x3 − 3x2, [−1, 2]

Math please help.
Find the function that has the greater rate of change As x increases by 1, y increases by 3. The graph x: 1  0  1 y: 0  2  4 A. the slopes are equal B. the graph has a greater slope C. the function rule has a greater slope**** D. none of the above

Algebra 1
Question 9 Examine the graph of f(x) f ( x ) and the table that contains values of g(x). g ( x ) . Curve f of x approaches Y equals negative 7 on the left and positive infinity on the right. It passes through points (0, negative 4) and (1, 2). © 2018

slope
Find the slope of the line passing through the given points using the slope formula. Enter the slope in simplest form. Describe the slope as positive, negative, zero, or undefined. (8,2) and (15,9) my answer = 1 the slope is posistive

Math please check my answers?
1) The linear function f(x) contains the points (10, 29) and (2, 83). If g(x) = 25x  50, which statement is true? A. The functions f(x) and g(x) both have positive slopes.

Calculus Please Help
1. A particle moves along the xaxis in such a way that it's position in time t for t is greater or equal to 0 is given by x= 1/3t^3  3t^2 +8t A. Find the position of the particle at time t = 3. B. Show that at time t = 0, the particle is moving to the

math
Consider the function f ( x ) = 3x^3 − 3x on the interval [ − 4 , 4 ] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval ( − 4 , 4 ) such that f ' ( c

calculus
1. Find the average value have of the function h on the given interval. h(x) = 2 cos4(x) sin(x), [0, π] 2. Consider the given function and the given interval. f(x) = 6 sin(x) − 3 sin(2x), [0, π] (a) Find the average value fave of f on the given

Algebra
The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the

Algebra 1
The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the

Math
Examine the graph of f(x) and the table that contains values of g(x). Curve f of x approaches Y equals negative 7 on the left and positive infinity on the right. It passes through points (0, negative 4) and (1, 2). x g(x) −1 1 0 3 1 9 2 27 3 81 Which

College algebra!
For the linear function f(x) = 5x + 3 (a) Determine the slope and yintercept (b) Use the slope and yintercept to graph the linear function. (c) Determine the average rate of change of the function (d) Determine whether the linear function is increasing,

Calculus
The cost to produce x items is given by the function C(x) = 1200 + 8x + 0.01x^2. a) Write a function that represents the average cost of producing x items. b) Use the derivative of the function from a) to find the number of items that should be produced to

CALCULUS!
Consider the function f(x)=4x^3–2x on the interval [–2,2]. Find the average or mean slope of the function on this interval. __14__ By the Mean Value Theorem, we know there exists at least one c in the open interval (–2,2) such that f(c) is equal to

Math (Secant Lines)
Consider the function f(x)=sqrt(x) and the point P(4,2) on the graph of f? Consider the graph f with secant lines passing through p(4,2) and Q(x,f(x)) for xvalues 1, 3, and 5. Find the slope of each secant line Use the results to estimate the slope of

Math
1. Function Q and function R are both linear functions. Function Q has an xintercept at (4,0), and the slope is 1/4. Function R is represented by the table. x y 4 14 3 0 5 4 Which statement is true? A. Function Q has a larger yintercept and a less

Calculus
For the function ƒ(x) = x2 find the slope of secants from the point (2, 4) to each of the following points. (3, __ ) (2.5 , __ ) (2.1 , __ ) (2.01, __ ) (2.001, __ ) Using the pattern from question 1, what do you think the slope of a tangent at the point

trigonometry
An object is attached by a string to the end of a spring. When the weight is released it starts oscillating vertically in a periodic way that can be modeled by a trigonometric function. The object's average height is −20 cm (measured from the top of the

calculus
Find the average value of the function f(x)=8x^25x+6 , on the interval [3,5]. Find the value of xcoordinate at which the function assumes it's average value. what is the average value = to ? what is the x coordinate = to ? Thanks

Calculus
If f is a function such that [(f(b)f(a))/(ba)]=2 , then which of the following statements must be true? a.f(a) = f(b) = 2 b.The slope of the tangent line to the function at x = a is 2. c.The average rate of change of the function on the interval [a, b]

algebra
please show work Find the average rate of change for the given function on the given interval. 3. f(x)=x24x; 2 ≤x≤ 4 4. f(x)=2x1; [0, 3] Find a PointSlope equation for a line containing the given point and having the given slope. 9. (7, 2), m = 3

calculus totally confused
find a first degree polynomial function p(1) whose value and slope agree with the value and slope of f at x=c. i think you use taylor series for this f(x)=4/sqrt(x), c=1 i'm totally confused on how to do it. i know you find the derivative but how do i get

algebra
Unit Exam 3 9 of 169 of 16 Questions Question Examine the graph of f(x) and the table that contains values of g(x). Curve f of x approaches Y equals negative 7 on the left and positive infinity on the right. It passes through points (0, negative 4) and (1,

Calculus Please help!
Consider the function f(x)=4sqrt(x)+4 on the interval [2,5] . Find the average or mean slope of the function on this interval _______

math
Which statement correctly describes the slope of the linear function that is represented by the data in the table? x y 8 –8 8 –4 8 0 8 4 8 8 The slope is positive. The slope is negative. The slope is zero. There is no slope.

physics
I'm making a graph of force vs stretch for springs. I have 7 data trials with the k (F = kx) ranging from 28 to 31, average is 29.6. Now I need to find the slope and write an equation for the graph. If I use the first two points to get the slope, I get a

algebra
In 2000, 49% of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.3% per year since then. Find a linear function in slopeintercept form that models this description. The

calculus
Consider the function f(x) = 1/x on the interval [ 4 , 11 ]. (A) Find the average or mean slope of the function on this interval. Average Slope =_______ (B) By the Mean Value Theorem, we know there exists a c in the open interval ( 4 , 11 ) such that f'(

math
Consider the function f(x)=2sqrtx+4 on the interval [2,8]. Find the average or mean slope of the function on this interval. ? By the Mean Value Theorem, we know there exists a c in the open interval (2,8) such that f'(c) is equal to this mean slope. For

Math
Without graphing (PLEASE DO IT IF NEEDED THIS IS JUST A PRACTICE PROBLEM) tell whether the slope of a line that model s the linear relationship is positive, negative, zero, or undefined. Then find the slope. A babysitter earns $8 for 1h and $40 for 5h. A.

Calculus
Mathematica Project  Position, Velocity, and Acceleration? A rocket is fired vertically upward into the air from a launching platform 100 ft above the ground. The platform is then retracted, and the rocket is allowed to fall to the ground. The height (in

calculus
Consider the function f (x)=7−6x^2 on the interval [ − 3 , 3 ] . Find the average or mean slope of the function on this interval, i.e. f(3)f(3) / 3(3)= By the Mean Value Theorem, we know there exists a c in the open interval (−3,3) such that

calculus
1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = x + 2 at the point (1, 3) 3. Find f '(x) for f(x) = 2x3 + 3x2  x + 15. 4. Find all values of x on the

Algebra
1. Determine whether the relation is a function. {(2, 7), (3, 5), (6, 4), (9, 6), (10, 1)} 2. Determine whether the relation is a function. {(5, 4), (2, 9), (1, 2), (1, 7)} 3. Determine whether the relation is a function. {(7, 1), (7, 2),

Calculus
for function f(x)=4x2x^3 a.) Find the general formula for the slope of the tangent line using the definition of derivative. b.) Find the slope at x=1

Algebra
HOURS STUDYING AVG GRADE 0 62 1 78 2 85 5 74 WHICH TYPE OF FUNCTION IS MOST LIKELY TO MODEL THESE DATA? A. LINEAR FUNCTION W/POSITIVE SLOPE B. LINEAR FUNCTION W/NEGATIVE SLOPE C. NONLINEAR THAT DECREASE THE INCREASE D. NON LINEAR FUNCTION THAT INCREASES

Algebra
HOURS STUDYING AVG GRADE 0 62 1 78 2 85 5 74 WHICH TYPE OF FUNCTION IS MOST LIKELY TO MODEL THESE DATA? A. LINEAR FUNCTION W/POSITIVE SLOPE B. LINEAR FUNCTION W/NEGATIVE

precal: graphs of functions fill in the blank
To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points on the graph of a

Algebra please check my answers
1) The linear function f(x) contains the points (10, 29) and (2, 83). If g(x) = 25x  50, which statement is true? A. The functions f(x) and g(x) both have positive slopes.

calculus
Consider the function f(x) = 1/x on the interval [ 4 , 11 ]. (A) Find the average or mean slope of the function on this interval. Average Slope = (B) By the Mean Value Theorem, we know there exists a c in the open interval ( 4 , 11 ) such that f'( c) is

Algebra 116
I have like 13 questions i need help with so here they go. 1. In 1991 the life expectancy of males in a certain country was 70.1 years. In 1995 it was 72.6 years. Let E representn the life expectancy in years and t represent the number of years since 1991.

calculus
8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x)  5ex. 10. Find f '(x) for f (x) = e(^lnx) + e^(x)ln(x) 11. Find the xcoordinate where the graph of the function f(x) = e^(cosx) has a slope of 0. 12. If

math
Consider the function f ( x ) = 3 − 5 x^2 on the interval [ − 2 , 8 ] . Find the average or mean slope of the function on this interval, i.e. f(8)f(2)/8(2)= By the Mean Value Theorem, we know there exists a c in the open interval ( − 2 , 8 ) such

calc
(1 point) Consider the function 𝑓(𝑥)=7−6𝑥2 on the interval [−6,3] (A) Find the average or mean slope of the function on this interval, i.e. 𝑓(3)−𝑓(−6)/(3−(−6))= (B) By the Mean Value Theorem, we know there exists a 𝑐 in the

calc
consider the function f(x)=x^3  x^2  3x 2. find the average slope of this function on the interval (2,3). by the mean value theorem, we know there exists a c in the open interval (2,3) such that f'(c) is equal to this mean slope. find the two values

ECONOMICS
solution:the total cost function of a firm is given by C=.04q^3.9 q^2+10q+10.find slope of average cos?

calculus
Some scientists believe that the average surface temperature of the world has been rising steadily. They have modeled the temperature by the linear function T = 0.02t + 8.75, where T is temperature in °C and t represents years since 1900. (a) What do the

Maths
Demand function P=50Q Average Cost 5Q + 40 +10/Q Calculate the firm's total cost function Find the marginal cost function and evaluate it at Q=2 and Q=3 What is the total revenue function Find the firms's revenue maximising output level Find the firm's

math
Consider the function f(x)=10sqrrootx+5 on the interval [3,10]. i found the average slope to be 2.043181217 By the Mean Value Theorem, we know there exists a c in the open interval (3,10) such that f'(c) is equal to this mean slope i tried tking the first

math
Find the average cost function C associated with the following total cost function C. C(x) = 0.000007x3  0.06x2 + 110x + 76000 C(x) = ?? (a) What is the marginal average cost function C' ? C'(x) = ?? (b) Compute the following values. (Round your answers

Calculus
Find the average value of the function over [1,3] and all values of x in the interval for which the function: f(x)= 4(x^2+1)/x^2 equals its average value.

Calculas
The slope of the tangent line to the graph of a function, h(t) is 7/2t The function passes through the point (5,3) Find h(4)

mathematics
Q1: A linear function is given. g(x) = −5x + 9 (a) Find the average rate of change of the function between x = a and x = a + h.  Q2: A function f is

Calc, Mean Value Theorem
Consider the function : 3x^3  2x^2  4x + 1 Find the average slope of this function on the interval. By the Mean Value Theorem, we know there exists a "c" in the open interval (2,3) such that f'(c) is equal to this mean slope. Find the two values of "c"

Calculus
If f is a function such that (f(b)  f(a))/(ba) =2, then which of the following statements must be true a) f(a) = f(b) =2 b) the slope of the tangent line to the function at x =a is 2 c) The average rate of change of the function on the interval [a,b] is

calculus
find the point on the graph of the given function at which the slope of the tangent line is the given slope x^3+9x^2+33x+15 slope= 6

Calculus
Let f(x)=5x2+5x−12. Answer the following questions.Find the average slope of the function f on the interval [−1,1].Verify the Mean Value Theorem by finding a number c in (−1,1) such that f′(c)=m¯¯¯.

Math
An instructor gives regular 20point quizzes and 100point exams in a mathematics course. Average scores for six students, given as ordered pairs (x,y) where x is the average quiz score and y is the average test score, are (18, 87), (10, 55), (19, 96),

AP calculus
Find the equation of the normal to the curve f(x) = 3cos(2x) at the point x = 0. In class, we learnt to find the derivate of the function, which would represent the slope. After I did that, I found the slope to be 0.. but that is not what my graphing

calculus
At the indicated point for the function, find the following. A graphing utility's numerical derivative feature can be used to check your work. y = (x3 + 2x)3 at x = 3 (a) Find the slope of the tangent line. (b) Find the instantaneous rate of change of the

Help please I am lost, algebra
I have notes on this from online but they are different from this problem and I don't know how to solve it. Find the equation of a line with the given information: slope 5/4 and g(14)=6 It is asking for, point slope form, slope intercept form, Function

algebra
Will someone please look over these? I am so lost on these. 1. find the domain of p(x)=xsquared+10 I said {xx is a real number 2. find the intercepts of 3x+2y=6 I got (0,3) and (2,0) 4.find the equation of (6,6)and (6,6) got y=x 7. slope and

Calculus
I'm supposed to find the average value of the function over the given interval. f(x) = sin(nx), interval from 0 to pi/n, where n is a positive integer. I know the average value formula, and I know that the integral of that function would be (1/n)cos(nx),

Physics
can someone help i'm stuck on two questions??? 23. On a velocitytime graph, when is the object not moving? when the slope is a straight line rising to the right when the slope is a straight line falling to the right when the slope is a line curving upward

Math
Find 2 tangent line equations to the curve y=x^3+x at the points where the slope of the curve is 4. What is the smallest possible slope of the curve? At what xvalue(s)does the curve have this slope? So far I have figured out the derivative of this

algebra
In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their

math
**Problem 3: Create a linear function (y=mx+b) and graph the line for the following set of data. x  y 2  1 4  2 6  3 First, use the slope formula to find slope: (y2y1)/(x2x1) Then, put the slope (m), a 'y' point, and matching 'x' point into the

Math
1. The table shows the number of soccer clubs and the population densities of different cities in a state. City Pop. per square mile Clubs 1 160 6 2 173 8 3 254 7 4 284 11 5 315 9 6 322 10 7 459 14 8 487 20 Based on this information, which statement is

calculus
Consider the function f(x) = 2 x^3  12 x^2  30 x+ 10 on the interval [ 6 , 8 ]. Find the average or mean slope of the function on this interval. Average slope = By the Mean Value Theorem, we know there exists at least one c in the open interval ( 6 , 8

Calculus
Find the average or mean slope of 2x^3  6x^2  90x +3 on the interval [6,10]? By the Mean Value Theorem, we know there exists at least one c in the open interval ( 6 , 10 ) such that f'( c) is equal to this mean slope. ::>> I already found the mean

calculus
Consider the function f(x) = 3 2 x^2 on the interval [ 5 , 3 ]. (A) Find the average or mean slope of the function on this interval, i.e. \displaystyle{\frac { f(3)  f(5) }{ 3  (5) } = } 4 (B) By the Mean Value Theorem, we know there exists a c in

calculus
Consider the function f(x)=3x^2 – 5x on the interval [4,4]. Find the average slope of the function on this interval. By the mean value theorem, we know there exists at least one c in the open interval (4,4) such that f’(c) is equal to this mean

calculus
Consider the function f(x)=–3x3–1x2+1x+1Find the average slope of this function on the interval (–2–1). By the Mean Value Theorem, we know there exists a c in the open interval (–2–1) such that f(c) is equal to this mean slope. Find the value

math
Consider the function f(x)=–2x^3–3x^2+2x–2 Find the average slope of this function on the interval (2,6). ? By the Mean Value Theorem, we know there exists a c in the open interval (2,6) such that f'(c) is equal to this mean slope. Find the value of

math
what is the average or mean slope of the function f(x)=(10(x^1/2)+4 on the interval [2,6]

Math
1. The slope of the tangent line to a function at a point is equivalent to __. a. the slope of the secant at that point b. the slope of the cosecant at that point c. the rate of change of the function at that point d. the slope of the secant near that

math
1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: a) What does the number 3.03 represent? The amount of gas gallons that you pumped b)

geometry
1. In 1994, the average monthly energy bill for your neighbors family of four was $175. In 2005 their average monthly bill rose to $250. A. Let x=number of years since 1994 and let y= average monthly bill. Write to ordered pairs that follow the info given

Calc
Recent studies indicate that the average surface temp. of the earth has been rising steadily. Some scientists have modeled the temp. by the linear function T= 0.02t + 8.50, where T is temp. in degrees Celsius and t represents years since 1900. What do the

Algebra 1
algebra questions I don’t need any of the open a textbook answers. I have worked hard to get my algebra done but these last units have turned my mind into mush. I don’t just want answers I need an explanation. Any help would be wonderful Thank you 2)

MATH
HHHHHEEEEEELLLLLLLPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Find the y intercepts of these please: 1. The slope is: 6/2...3/1...3 2. The slope is: 10/2... 3. The slope is: 2/2...2 4. The slope is: 2/2...2 The formula for a slope intercept is: y = mx +

Math/Chemistry
We were given an assignment to find a formula for finding the density of water. I wasn't in class when the assignment was given, but the teacher gave the class two values: density H2O at 20 degrees C= .998823 g/mL density H2O at 25 degrees C= .99707 g/mL A

algebra
is this right? I need to write a linear function that fits this data and round to the nearest tenth. In 1991 the life expectancy in males was 68.8 and in 1995 it was 71.9.... and so on. I first got the slope m= 71.968.8 / 41 m = 3.1/3 I fit the slope

Math Calculus
Economists use production functions to describe how output of a system varies with another variable such as labour or capital. For example, the production function P(L) = 200L + 10L^2  L^3 goves the output of a system as a function of the number of

calculus
For the function y = 9x2 + 6x + 2, at the point x = 7, find the following. (a) the slope of the tangent to the curve (b) the instantaneous rate of change of the function

math
a) A linear function f(t)=b + mt has a slope of 4 and vertical intercept of 20. Find its equation. b) An exponential function g(t)=Ca^t has a decay factor of 1/4 and an initial value of 20. Find its equation. Plot both functions

Math
17) Consider the function f(x)=3x3−3x2+4x+2 Find the average slope of this function on the interval (−3,5). By the Mean Value Theorem, we know there exists a c in the open interval (−3,5) such that f′(c) is equal to this mean slope. Find the two

calculus
Consider the function f(x)=4sqrtx+5 on the interval [4,5]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (4,5) such that f'(c) is equal to this mean slope. For this

calculus
Consider the function f(x)=6sqrt(x)+1 on the interval [3,5] . Find the average or mean slope of the function on this interval. I FOUND THIS: (6sqrt(5)6sqrt(3))/2 By the Mean Value Theorem, we know there exists a c in the open interval (35) such that f(c)

Math
16) Consider the function f(x)=2x3−6x2−90x+5 on the interval [−6,7]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (−6,7) such that f′(c) is

Calculus Please help!
f(x) 2x^3+2x^23x+2 Find the average slope of this function on the interval (–3–1) ________

Math
f(x)=2x^(3)–1x^(2)+3x–2 Find the average slope of this function on the interval (1,7).

math, slope
how to find average slope: you are given points of: (0,0) (20,.166) (40,.181) (60,.194) (80,.204) (100,.210) (120,.214) how do i find average slope of all of these?

Helpppp Math!!!
The market value (in thousands of dollars)of a certain home is a linear function of t, the time in years since 1990. In 1992 the market value was 68 thousand dollars, while in 1997 the market value was 79 thousand dollars Find the slope of V as a linear

Calculus
Find the average value of the function f(x) 8x^29x+8 on the interval [3,5]. Find the value of the xcoordinate at which the function assumes it's average value The average value is ? the xcoordinate is ? Please help and showing work is much appreciated.

math
Let the total cost function C(x) be defined as follows. C(x) = 0.0008x3  0.04x2 + 99x + 4400 Find the average cost function C. C(x) = ?? Find the marginal average cost function C '. C '(x) = ??

Calculus
How do you find Altitude and slope slope is the derivative of a function: for ex. if you have f(x)=x^2 + x, at point (1,2) f'(x)=2x+1 your slope is 2(1) + 1 = 3 =m to find the equation is yy1=m(xx1) so you have: y2=3(x1) gives you: 3x1 is your

math
Consider the function:(2x^2 +3x 7) y= 2x^2x +3x +17 Find y ′ using implicit differentiation. Do not solve for y. What is the slope of the tangent at (x,y) = (−1,−1)? Find y ′ by solving for y and using the quotient rule. What is the slope of the

math
Consider the function: (2x^2  2x4) y = 2x^2  x +10 Find y â€² using implicit differentiation. Do not solve for y. What is the slope of the tangent at (x,y) = (2,âˆ’1)? Find y â€² by solving for y and using the quotient rule. What is the

Math (UBC)
Economists use production functions to describe how output of a system varies with another variable such as labour or capital. For example, the production function P(L) = 200L + 10L^2  L^3 goves the output of a system as a function of the number of