5

Find the average rate of change of g(r) = 7r'on the interval [-4,3]...

Question

Find the average rate of change of g(r) = 7r'on the interval [-4,3]

Find the average rate of change of g(r) = 7r' on the interval [-4,3]



Answers

Find the average rate of change of each ficnetion on the given interval. $$f(x)=2|x|+4 ; \text { interval: }[3,5]$$

We're going to determine the average rate of change of F of X on the interval minus 123 What that means is we want to find out how much did it change over how wide a values of X So how much did it change? Average rate of change is Delta. That means change in Delta F of X over Delta X. It's also the rise over the run. Remember, average rate of change is a slope. It's an average slope. So delta f of X. That means the change in so we don't need another Delta. We're gonna go straight. F of X is so that means f of one of the axis will say three minus F of the first X and then we're gonna divide that by the change in excess. So that will be three minus negative. One three minus negative ones. Easy enough. That's four, right? It's the same thing is three plus one f of three. We're going to go toe have to figure out so f of three is equal to the function. But instead of acts, you have a three in its place. We're basically evaluating the function at X equals three. So what do we have here? We have two times three squared. That's three squared is nine times two is 18 and four times three is 12. 18. Minus 12 is six so f of three of six minus. Now I got to figure out f of negative one. So that's gonna be the same process two times instead of an X ray substitute in a minus one minus four times minus one. So what do we have here? Negative One squared is one times two makes to minus four times negative one. So four times negative ones negative for Tu minus negative for is really two plus four. So that's also equal to six. So we have here. Let's see what that turned out to be a six minus 6 0/4 and zero over anything. Any number is, um, zero. So the average rate of change for this function on that interval is equal to zero

We know that the rate of chance we go to Gil B minus Q A running by three minutes. I here we have the first believe here is anything that you can bury me this b And they wish again that killer up to when a scare off months far Being running by Ju Manus Manus Fall Because they're friends of yours, device expert at three. And then we should get equal to do about three Manus Manus for about three. Dividing by Chiu plus a management becomes a plus farm here. And when you get Geico Jojoba three Echo to eight minus for months for about three and we called your 64 on, then minuses becomes a past 60 phone dividing by six. So gonna 7 72 November 6 and we should get equal to one on trial.

We are given this function written here on the left and black, and we have to determine its average rate of change between the points negative to M zero. I've also written the formula for average rate of change in red. That's f of X two minus f of X one, divided by x two Minus x one gives the average rate of change of a function between points X one and x two. We will be using zero as x two and negative two is x one because it's always, ah, the best decision to make your highest number. B x two that is, in this case, the zero. So let's start plugging things in and see what we get is average rate of change. So f of X two. That's half of zero. Um, which is three times zero cubed, which is zero plus zero squared, which is zero plus four. And then we subtract off three times Negative too cubed plus negative too squared plus four. Divide all of that by zero minus negative, too. Let's start simplifying here three times zero is zero eso The first term just becomes a four now negative two cubed becomes negative eight. So we have three times negative. Eight negative two. Squared, however, is positive for plus four plus four and then zero minus negative. Two is the same. A zero plus two. So we're dividing this whole thing by two Simplify a little more here. We've got four minus three times negative. Eight is negative. 24 and then four plus four is, of course, eight. We've got that divided by two. Let's move on to a new page here, running on a space. So we have four minus, Um, negative. 24 plus eight is negative 16 and this whole thing is divided by two four minus negative. 16 Samos four plus 16 eso This comes out 2 20 fired by two and that is obviously 10. Thus, the average rate of change on this interval for this function is just equal to 10 from this formula.

We are going to do problem number 67 discussion. We have to find a very rate of change of the given function. For facts equals two managed to access square plus for Okay, so uh this value that is uh the rate of change we need to find in an interval from 0 to 2123 and from 1 to 4. Okay. So let me write her the general formula that we use for rate of change. That is a close to FFB manners, F F. A divided by b minus. This gives us the rate of change. So let's just do that in a part. We have to find from 0 to 2. Okay, so her is zero bh two. So we'll just put the value of that F. Of So mona's F of zero divided by two minutes. Zero. Okay? So uh this is equals two ff two. So for two years managed to multiply 22 square, man, I still medical. It'll take a little right here a little bit. Yeah man is uh to multiply two square. Now this is plus four minus half of zero is for four. So this is minus four now divided by two. So from here we will have there's four plus four minutes for cancel out. We will have that is to say queries for into that is menace administered by to the rest. Menace for So this is the rate of change from 0 to 2. So this is our answer. First answer. Now let us move towards the but be part we need to find the rate of change from one 23 So her this will become a for three men except for fun, divided by three minutes. When. Okay, so this is equal strength of three years managed to and 23 square managed to into three square plus form life of one is managed to into one square. Is managed to managed to plus four. Okay, so this is divided by two. So this is equals two that has managed to and to three because it is nine into managed to is managed 13 plus four plus two man is four, so plus four minutes. Forget cancel out, this is divided by two to minus 18 plus two is minus 16 minutes 16 by two ways man, is it? So this is the rate of change from 123 Now we will just find for C part in C part we have to find the rate of change from 1 to 4. Okay, so this will become fr four minus one. They worried by four management, that is three. Now, if a four is managed to into for a school that is 16 plus four now minus I. For fun for fun is managed to into one. Has got has managed to plus four. Okay, so this is divided by three, so from here we're getting minus 30 to plus four, so that is minus 28 minus 28 this is minus two. Do you want everybody management here managed to divided by three? So this is minus 30 by three, which is equals to manage them. So, managed to change the rate of change from uh 1 to 4. So this is the answer of C part. So that's all. Thank you.


Similar Solved Questions

5 answers
Consider the following compounds8 c HH-C-C-C-HH-CA ASort the compounds in decreasing order (from high to low) of enthalpy of vaporization. II, II; MII IL [ II 8 IIL, II; I E) I, MII; MI
Consider the following compounds 8 c H H-C-C-C-H H-C A A Sort the compounds in decreasing order (from high to low) of enthalpy of vaporization. II, II; MII IL [ II 8 IIL, II; I E) I, MII; MI...
4 answers
Homework:Hiuitiewuin 0.oFomp 0*8Scoro=ol 1 PI8.3.39 Ura {Ke unpaid tlnco mcmnd to tnd the Eulcn T1n{7o Crej' GMd @zcoin k Apni Tra tarng Euarco ncr tunto to mor Fnnaint 1enctiora co ara tnle Fling dun n3 Mtatunernlu 3nc[chnod 5125 fra Ong TaotsTat [Cixgod <33 'orDvde Clurul 5o otGluau IorForrn 0l Aclh9 neodud 1MnanincKncac 0
Homework:Hiuitiewuin 0.o Fomp 0*8 Scoro= ol 1 PI 8.3.39 Ura {Ke unpaid tlnco mcmnd to tnd the Eulcn T1n{7o Crej' GMd @zcoin k Apni Tra tarng Euarco ncr tunto to mor Fnnaint 1enctiora co ara tnle Fling dun n 3 Mtatunernlu 3nc [chnod 5125 fra Ong TaotsTat [Cixgod <33 'orDvde Clurul 5o ot ...
4 answers
10. How can YOu extend Cauchy integral theorem to doubly and triply connected domains? Howdid we use integral formulas for for derivatives in integration?
10. How can YOu extend Cauchy integral theorem to doubly and triply connected domains? How did we use integral formulas for for derivatives in integration?...
5 answers
4: Problem 10Picudut ProbleernProblem ListNext Problumpoint) The area of square with side is A( s)What the rate change of the area of square Mith respectits side length when13?
4: Problem 10 Picudut Probleern Problem List Next Problum point) The area of square with side is A( s) What the rate change of the area of square Mith respect its side length when 13?...
5 answers
559980 /skip/6CoinbaseGeatinyobuticheckOnlinc Sports BettHora Cheggcem M MOpenWath -Question graph of the solution region for the system Inequalitie; shoxtnbelo Locate all comeryIv _ 6 Graph: I > 0 V > 0roae
559980 /skip/6 Coinbase Geatinyobuticheck Onlinc Sports Bett Hora Cheggcem M MOpenWath - Question graph of the solution region for the system Inequalitie; shoxtnbelo Locate all comery Iv _ 6 Graph: I > 0 V > 0 roae...
5 answers
Find the cumulative area that corresponds to & 2-score of 2.17. Find the area under the standard normal curve to the right of < = 1.06.
Find the cumulative area that corresponds to & 2-score of 2.17. Find the area under the standard normal curve to the right of < = 1.06....
5 answers
Dy x2 dx 1-Y?Y' = (1 +2y)(1+x? + 2x )dy 3x? + 4x + 2 dx 2y - 1) x2 Y' Y(1+x)Y'-21+x)I+Y), Y(O) = 0dy Ycos Y(0) = 1 dx 1+2y2Y=1+X+y? +xy?(1+e )dy+ey = 0, Y(O) =1 dx
dy x2 dx 1-Y? Y' = (1 +2y)(1+x? + 2x ) dy 3x? + 4x + 2 dx 2y - 1) x2 Y' Y(1+x) Y'-21+x)I+Y), Y(O) = 0 dy Ycos Y(0) = 1 dx 1+2y2 Y=1+X+y? +xy? (1+e )dy+ey = 0, Y(O) =1 dx...
5 answers
Ammonia and amines undergo conjugate addition to $alpha, eta$ -unsaturated carbonyl compounds (see Section 20.8). On the basis of this information, predict the principal organic product of each of the following reactions:
Ammonia and amines undergo conjugate addition to $alpha, eta$ -unsaturated carbonyl compounds (see Section 20.8). On the basis of this information, predict the principal organic product of each of the following reactions:...
5 answers
The least positive integer x satisfying 22010 = 3x(mod 5) is030
The least positive integer x satisfying 22010 = 3x(mod 5) is 03 0...
5 answers
Sketch a graph in ℝ3 for each of thefollowing: a) 𝑦 = 3𝑧2 b) 𝑥2 + 𝑦2 = 1, 𝑧 = 4
Sketch a graph in ℝ3 for each of the following: a) 𝑦 = 3𝑧2 b) 𝑥2 + 𝑦2 = 1, 𝑧 = 4...
5 answers
Find f' (x from first principles a) f(x)=3x? b) f(x)=-4x? c) f(x)=3x?+5 d) f(x)-3x _1 e) f(x)-Sx? _6x+7x+9 f) f(x)=Vx g) f(x) = 3 h) f(x)=Vx
Find f' (x from first principles a) f(x)=3x? b) f(x)=-4x? c) f(x)=3x?+5 d) f(x)-3x _1 e) f(x)-Sx? _6x+7x+9 f) f(x)=Vx g) f(x) = 3 h) f(x)=Vx...
5 answers
Ifyou have a relative risk of 1 you know that: There is a 100% associatin betwen the exposure and the illness B There is no association between the exposure and the illness There is a significant p-value D. There is a chance of a Type error
Ifyou have a relative risk of 1 you know that: There is a 100% associatin betwen the exposure and the illness B There is no association between the exposure and the illness There is a significant p-value D. There is a chance of a Type error...
2 answers
...
5 answers
Which of the following is true of Overfitting? (Select more than1)1. It is never an issue when using interaction terms in aregression model2. It is caused by using overly complex terms or too manyvariables in a regression model3. It results in a model fitting noise rather than just thesignal from the data4. Determine whether or not overfitting is occurring, it isrecommended to split the data set into training and validationsets
Which of the following is true of Overfitting? (Select more than 1) 1. It is never an issue when using interaction terms in a regression model 2. It is caused by using overly complex terms or too many variables in a regression model 3. It results in a model fitting noise rather than just the signal ...
5 answers
Wdl dmiuuiy dmulalcu to either the group receiving the treatment under investigation or to Broup receiving standard treatment as the control:Randomized control trialCase-controlCohortThis study looks at two existing groups differing in outcome are identificd and compared on the basis of some supposed causal attribute_
Wdl dmiuuiy dmulalcu to either the group receiving the treatment under investigation or to Broup receiving standard treatment as the control: Randomized control trial Case-control Cohort This study looks at two existing groups differing in outcome are identificd and compared on the basis of some sup...

-- 0.020769--