a) prove that the function x^3 + 9x^2 +33x assumes the value 8 at least once b)using the mean value theorom or rolle's theorom  no other methods will be accepted  prove carefully that x^3 + 9x^2 + 33x
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Calculus
a) prove that the function x^3 + 9x^2 +33x assumes the value 8 at least once b)using the mean value theorom or rolle's theorom  no other methods will be accepted  prove carefully that x^3 + 9x^2 + 33x takes on the value 8 at most once 
physics
Compare the slope of the velocitytime graph to the average of all your acceleration values. Are they close? What does the slope of a velocity (or speed) vs. time graph mean? Explain the answer using your data. How does the value of g that you calculated compare to the ... 
Math  Calculus
Show that the equation x^315x+c=0 has at most one root in the interval [2,2]. Perhaps Rolle's Theorem, Mean Value Theorem, or Intermediate Value Theorem hold clues? ...Other than simply using my TI84, I have no idea how to accomplish this. 
Math  Calculus
Show that the equation x^315x+c=0 has at most one root in the interval [2,2]. Perhaps Rolle's Theorem, Mean Value Theorem, or Intermediate Value Theorem hold clues? ...Other than simply using my TI84, I have no idea how to accomplish this. 
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unique solution
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Calculus
1. Determine whether Rolle's Theorem applied to the function f(x)=((x6)(x+4))/(x+7)^2 on the closed interval[4,6]. If Rolle's Theorem can be applied, find all numbers of c in the open interval (4,6) such that f'(c)=0. 2. Determine whether the Mean Value Theorem applied to ... 
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ALGEBRA
wo quadratic functions are shown. Function 1: f(x) = 4x2 + 8x + 1 Function 2: x 2 1 0 1 g(x) 2 0 2 8 Which function has the least minimum value and what are its coordinates? Function 1 has the least minimum value and its coordinates are (−1, −3). Function 1 has ... 
Calculus
For f(x)=x^2/3(x^24) on [2,2] the "c" value that satisfies the Rolle's Theorem is A. 0 B. 2 C. +or2 D. There is no value for c because f(0) does not exist E. There is no value for c because f(x) is not differentiable on (2,2) 
Calculus
Suppose that you can calculate the derivative of a function using the formula f(x) = 2f(x) + 4x. If the output value of the function at x=4 is 3 estimate the value of the function at 4.012. Linear Approximation right? I'm not seeing an f'(x) anywhere. Can you retype your ... 
math
For tax purposes, you may have to report the value of your assets, such as cars or refrigerators. The value you report drops with time. "Straightline depreciation" assumes that the value is a linear function of time. If a $1020 refrigerator depreciates completely in seven ... 
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I want to know that if we have a set of data and we have to conclude if it is Da Vinci Theorom how do we know if it is or not . what do we need to de in order to conclude thankyou 
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Let f(x) = 2x + 1 − sin(x), how many roots does f(x) have in the interval [−π, π]? Use the next steps to prove that it has only one root. a) Use the Intermediate Value Theorem to show that f(x) has at least one root. (b) Explain why f(x) is increasing on ... 
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Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. f(x)= x sqrt(x+21) , [21,0] If there is more than one solution separate your answers with commas. c = Do ... 
Probability
Let X be a continuous random variable. We know that it takes values between 0 and 3 , but we do not know its distribution or its mean and variance. We are interested in estimating the mean of X, which we denote by h . We will use as a conservative value (upper bound) for the ... 
Probability
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Find the value of c which satisfies Rolle’s Theorem for the function f(x)=sin(x²) on (0,√π). 
AP Calc
Find the value of c which satisfies Rolle’s Theorem for the function f(x)=sin(x²) on (0,√π). 
calculus
Let f(x) = (x+1)/(x1). Show that there are no vlue of c such that f(2)f(0) =f'(c)(20). Why does this not contradict the Mean Value Theorem? I plugged 2 and 0 into the original problem and got 3 and 1 . Then I found the derivative to be ((x1)(x+1))/(x1)^2. Whould would I... 
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 
calc
by applying rolle's theorem, check whether it is possible that the function f(x) = x^5 + x 17 has two real roots. your reason is that if f(x) has two real roots then by rolle's theorem, f'(x) must be equal to what at certain value of x between these two roots, but f'(x) is ... 
Probability
Let X be a continuous random variable. We know that it takes values between 0 and 3, but we do not know its distribution or its mean and variance. We are interested in estimating the mean of X, which we denote by h. We will use 1.5 as a conservative value (upper bound) for the... 
chemistry
In a laboratory experiment, the density of a concentrated sugar solution was determined by measuring the volume of the solution and corresponding mass. Three students each made a set of measurements using a different balance and used the results to calculate density. Their ... 
Math(ANSWERCHECK)!!
percent error formula= experimental value accepted value / accepted value * 100% % error = 0.846 g/mL  0.78948 g/mL / 0.78948 g/mL *100% = 7.31 % Is 7.31% correct or was there a calculation mistake? 
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 of c in the interval ... 
CALCULUS!
suppose that 3 <_ f prime of x <_ 5, for all values x. show that 18<_ f(8)f(2) <_ 30 <_ signs mean less or equal to... im supposed to apply mean value theorem or rolle's theorem... i don't understand neither so i cant do the question! please help! 
calculus
I have three questions I'm having a terrible time with: 1)Find, if possible, the absolute maximum value and where it occurs for f(x)=ln(xe^x) on (0,infinity). 2)Find the value(s) of "c" guaranteed by the Mean Value Theorem for the function f(x)=ln(x^2) on the interval [1,e]. ... 
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Suppose that you can calculate the derivative of a function using the formula f'(x) = 4f(x) + 2x. If the output value of the function at x= 4 is 2 estimate the value of the function at 4.013 
Percent error?
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Chemistry
Confused, conflicting texts when you are finding % error for density formula: experienced valueaccepted value/ accepted value ×100. Does the ×100 cancel out the percent sign? EX; 7.28g/mL6.54g/mL/6.54g/mL ×100. Is the answer 11.31 or 11.31% The lab video did not multiply ... 
Caluclus
[Mean Value Theorem] f(x)=3x^3  4x^2  2x 3 on the closed interval [0,8]. Find the smallest value of c that satisfies the conclusion of the Mean Value Theorem for this function defined on the given interval. I got 8  sqrt(5696) / 18 = 3.748436059 but it's not right. 
Calculus
Verify the hypothesis of the mean value theorem for each function below defined on the indicated interval. Then find the value “C” referred to by the theorem. Q1a) h(x)=√(x+1 ) [3,8] Q1b) K(x)=(x1)/(x=1) [0,4] Q1c) Explain the difference between the Mean Value ... 
Quantitative Methods
Assume you have applied to two different universities (lets refer to them as Universities A and B) for your graduate program. In the past 25% of students (with similar credentials as yours) who applied to University A were accepted, while University B accepted 35% of the ... 
Quantitative Methods
Assume you have applied to two different universities (lets refer to them as Universities A and B) for your graduate program. In the past 25% of students (with similar credentials as yours) who applied to University A were accepted, while University B accepted 35% of the ... 
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If the last value of Period is less than the number of periods specified in the Parameters worksheet, increment the Period value by 1, otherwise blank the cell(i.e. ""). What does this mean in spreadsheer syntax for excel using the IF function 
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Referring to the Mean Value Theorem and Rolle's Theorem, how can I tell if f is continuous on the interval [a,b] and differentiable on (a,b). 
Chem (Check)
The accepted value of a length measurement is 200cm, and the experimental value is 198cm. Circle the letter of the value that shows the precent error of this measuerment. a)2% b)2% c)1% d)1% is it b)2% No. What is 2/200 * 100? Percent error = deviation/GAAT * 100 gAAT ... 
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Hello, I don't know how to do this, please help. Thank you. 1).Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 − 3x + 2, [0, 2] Yes, it does not matter if f is continuous or differentiable, every function satifies the ... 
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 this mean slope. For ... 
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Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" that satisfy the conclusion of Rolle's Theorem. f(x)=sin4pix , [1/2,1/2] Well according to Rolle's Theorem, it has to be continuous on [a.b] and it is ... 
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AP Calculus
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Calculus
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calculus
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Let f(x)=αx^2+βx+γ be a quadratic function, so α≠0, and let I=[a,b]. a) Check f satisfies the hypothesis of the Mean Value Theorem. b)Show that the number c ∈ (a,b) in the Mean Value Theorem is the midpoint of the interval I. 
calculus
verify that the function satisfies the hypothesis of the mean value theorem on the given interval. then find all numbers c that satisfy the conclusion of the mean value theorem. f(x) = x/(x+2) , [1,4] 
math
verify that the function satisfies the hypothesis of the mean value theorem on the given interval. then find all numbers c that satisfy the conclusion of the mean value theorem. f(x) = x/(x+2) , [1,4] 
Calculus
Show that the function f(x)= x^(3) +3/(x^2) +2 has exactly one zero on the interval (infinity, 0). So far this is what I have: 0=x^3 + 3/(x^2) +2 2= (1/x^2)(x^5 + 3) 2x^2= x^5 +3 But now I'm stuck. I also am not sure if this is how I'm supposed to be solving the problem. We... 
chemistry
2. If the accepted enthalpy change value for the dissolving of sodium hydroxide in water is −44.2 kilojoules per mole, determine the percent error of the experimental value that you calculated in Part I. Show your work. (experimental  actual value) / actual value × 100 % 
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Hello, this is a question which i don't know how to do. Find the value of k for which a3b is a factor of a^47a^2b^2 + kb^4 Hence, for this value of k, factorise a^4  7a^2b^2 + kb^4 completely. I tried to do long division for the question, but couldnt. Is there any other ... 
calculus II
I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? And what happens to the graph and to the value of the integral as N approaches infinity? Does the graph ... 
Calculus
By applying Rolle's theorem, check whether it is possible that the function f(x)=x^5+x−5 has two real roots. Answer: (input possible or impossible ) Your reason is that if f(x) has two real roots then by Rolle's theorem: f′(x) must be (input a number here) at ... 
URGENT!! PLEASE Calc
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" that satisfy the conclusion of Rolle's Theorem. f(x)=sin4pix , [1/2,1/2] Well according to Rolle's Theorem, it has to be continuous on [a.b] and it is ... 
Calculus
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Math
The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (0,1) where f'(c)=0. f(x) = x^3  2x^2 + x, [0, 1] Round your answer to two decimal places. 
Calculus
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Algebra 1
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calculus
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Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value less than 44. 
statistics
Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value less than 45. 
statistics
Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value less than 44. 
Math Trig
1. Determine the exact value of cos^1 (pi/2). Give number and explanaton. 2. Determine the exact value of tan^1(sq. root 3). with explanation. 3. Determine exact value of cos(cos^1(19 pi)). with explanation. 4. Determine the exact value of sin(sin^1(20 pi)). with ... 
Calculus
The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (0,1) where f'(c)=0. f(x) = x3  2x2 + x, [0, 1] Round your answer to two decimal places. 
Math
The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (0,1) where f'(c)=0. f(x) = x3  2x2 + x, [0, 1] Round your answer to two decimal places. 
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 slope. For this problem, ... 
math mean value theorem
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math
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Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f(x) = 4√x [4, 9] 
physics
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Please check my Calculus
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algebra
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Math  Mean Value Theorem
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A rancher wants to create a fence enclosing 1500 m2 of land. The plot will be divided into two equal areas by an additional fence parallel to two sides as shown in the diagram below. Find the dimensions of the plot which results in using the least amount of fencing. a. Write ... 
Qvntitative Methods
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Maths
A perfectly cylindrical container standing upright with a top and bottom(an oil drum or coke can for example) of area A has an empty mass of M and a height of H. It is filled with a liquid of uniform density(p)up to the height of h. When the container is full the centre of ... 
science
A protein polypeptide chain exists in αhelical conformation in a solvent and it has a value of 30,000 deg cm2 dmol1 for the mean residue ellipiticity at 222 nm ([θ]222) in the temperature range 2050°C. On raising the temperature above 50°C,[θ]222 increases... 
math
14.what value of n will result in a mean if 31 15.what value of n will result in a median of 23 15.what value of a will result in a range of 84 14,46,19,10,39,22,24,77,n Refresh your memory about the defnition of median, mode and range of a set of numbers. Then pick a value of... 
Math Help!
A.) Determine "a" and "k" so both points are on the graph of the function. 1.) (0,1) (2,1); y=a(x1)^2+k 2.) (1,11) (2,19); y=a(x+1)^2+k B.) Determine whether or not the function f(x)=0.25(2x15)^2+15 has a mazimum or a minimum value. Then find the value. C.) When y=2(x3)(x+... 
probability
Let X be a continuous random variable. We know that it takes values between 0 and 3, but we do not know its distribution or its mean and variance. We are interested in estimating the mean of X, which we denote by h. We will use 1.5 as a conservative value (upper bound) for the... 
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