The mean value theorem states that if F(x) is a differentiable function on the interval [a,b],...
Fantastic news! We've Found the answer you've been seeking!
Question:
![image text in transcribed](https://s3.amazonaws.com/si.experts.images/answers/2024/06/665abbb8697e1_327665abbb7bb34b.jpg)
Transcribed Image Text:
The mean value theorem states that if F(x) is a differentiable function on the interval [a,b], then there exists some number c between a and b such that the following formula is true. Use this to explain why the mean value theorem implies that if a car averages 58 miles per hour in some 25-minute interval, then the car's instantaneous velocity is 58 miles per hour at least once in that interval. F'(c) = F(b) F(a) b-a Choose the correct answer below. OA. The car's speed of 58 miles per hour is defined as the average rate of change of the car at point c, or f'(c). Since car drives continuously over a 25-minute interval, or [0,25], the function is continuous. Thus, the mean value theorem can be applied. B. The car's speed of 58 miles per hour is defined as the average rate of change of the car at point c, making the function continuous. Since the function is continuous, it has a derivative at every point. Thus, the mean value theorem can be applied OC. The car's time of 25 miles per hour is defined as the average rate of change of the car at point c, making the function continuous. Since the function is continuous, it has a derivative at every point. Thus, the mean value theorem can be applied. OD. The car's time of 25 miles per hour is defined as the average rate of change of the car at point c or f'(c). Since the car drives continuously at an average speed of 58 miles per hour, the function is continuous. Thus, the mean value theorem can be applied. The mean value theorem states that if F(x) is a differentiable function on the interval [a,b], then there exists some number c between a and b such that the following formula is true. Use this to explain why the mean value theorem implies that if a car averages 58 miles per hour in some 25-minute interval, then the car's instantaneous velocity is 58 miles per hour at least once in that interval. F'(c) = F(b) F(a) b-a Choose the correct answer below. OA. The car's speed of 58 miles per hour is defined as the average rate of change of the car at point c, or f'(c). Since car drives continuously over a 25-minute interval, or [0,25], the function is continuous. Thus, the mean value theorem can be applied. B. The car's speed of 58 miles per hour is defined as the average rate of change of the car at point c, making the function continuous. Since the function is continuous, it has a derivative at every point. Thus, the mean value theorem can be applied OC. The car's time of 25 miles per hour is defined as the average rate of change of the car at point c, making the function continuous. Since the function is continuous, it has a derivative at every point. Thus, the mean value theorem can be applied. OD. The car's time of 25 miles per hour is defined as the average rate of change of the car at point c or f'(c). Since the car drives continuously at an average speed of 58 miles per hour, the function is continuous. Thus, the mean value theorem can be applied.
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
Three venture investments previously made by BKAngel, a venture investor, achieved the following outcomes for the year just completed: A. Calculate the percentage rate of return for each of the...
-
A stock dividend that gives some shareholders the right to receive cash in lieu of stock is taxable only if the right to receive the cash is exercised. Group of answer choices True False
-
This Question: 2 pts Which of the following is considered an investing activity when preparing the statement of cash flows? A. payment of interest on a bond issue B. a purchase of equipment C. a...
-
As we explore international law and our Constitution, let's imagine a situation: What if a law supported by the whole world conflicts with our Constitution? This makes us think about balancing our...
-
There is a city, which looks like chopped isosceles triangle, as shown below. Citizens live uniformly distributed all over the city. Two ice-cream vendors, A and B, must independently set up stores...
-
Accreditation will not eliminate lawsuits. As counsel for a correctional agency, do you believe it would be advisable for your agency to apply for accreditation? Assuming that your agency is...
-
Find the consumer and producer surpluses by using the demand and supply function where P is the price (in dollars) and x is the number of units in millions: demand function: p=62-0.3x; supply...
-
Assume a clinical laboratory is considering a new test. Here are the key assumptions: Annual fixed direct costs = $20,000. Annual overhead allocation = $10,000. Variable cost per test = $5. Expected...
-
The cholesterol levels of an adult can be described by a normal model with a mean of 181 mg/dL and a standard deviation of 23. a) Draw and label the normal model. OA. O B. OC. 89 135 181 227 273 158...
-
You are required to calculate the overhead variances from the following data. (a) Budgeted for \( 6,000\) variable overhead and 1,000 machine hours. \(\begin{array}{lr}\text { Actual overhead } & ...
-
A You are required to calculate the overhead variances in the following cases: (a) Budgeted for \( 37,000\) fixed overhead. The actual fixed overhead turns out to be \( 36,420\). (b) Budgeted for...
-
You are required to calculate the overhead variances of Joseph Ltd. The budget is prepared as: (a) Total budgeted variable overhead \( 400,000\). (b) Total budgeted fixed overhead \( 160,000\). (c)...
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App