2 5 10 (feet) A(h) |(square feet) 50.3 14.4 6.5 2.9 A tank has a height of 10 feet. The area of the horizontal cross section of the tank at height h feet is given by the function A, where A(h) is meusured in square feet. The function A is continuous and decreases as h increases. Selected values for A(h) are given in the table above. (a) Use a left Riemann sum with the three subintervals indicated by the data in the table to approximate the volune of the tank. Indicate units of measure. (b) Does the approximation in part (a) overestimate or underestimate the volume of the tank? Explain your reasoning.

Q: Can someone help me with problem four?

A: Given,

Q: Find the average value of the function f(x) = x - 19 on 0,38]. ...... The average value of the…

A:

Q: 1. In this question we have three functions: • f(t) is the number of UWC students who register for…

A: The first derivative of a function gives the slope of the function at a particular point and if the…

Q: 3. What are the different methods for examining whether a continuous function in a closed interval…

A:

Q: Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week…

A: The given function is shown below:

Q: 1. a) Domain: b) Range: c) Continuous:

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: True

A: False

Q: A table of values of an increasing function f is shown. Use the table to find lower and upper…

A:

Q: A table of values of an increasing function f is shown. Use the table to find lower and upper…

A: We have to find the lower and upper estimate.

Q: O c. Average = 1-e-8 Find the average of the function f(x)= e* over [0, 8]. O a. Average = 1+e-8 8…

A: We will find the average value of given function over [0,8]

Q: 1. Find the open intervals where the function is increasing and the intervals where the function is…

A: We are going to find the interval

Q: 13. Approximate the local maximum values and local minimum values of f(x) = x³ – 5x + 1 on (-4, 4).…

A: Given: f(x)=x3-5x+1on the given interval (-4, 4)

Q: The demand for a product is a continuous variable with the following function Determine…

A:

Q: Using L'Hospital's rule, determine whether f (x) or g(x) given below grows at a faster rate. f(x) =…

A: Given Data: Function f(x): f(x)=-2x-2ex Function g(x): g(x)=-x3+3x2-3x+4 The conditions of limit for…

Q: +13 if z<8 V8 a +9 if r 2 8 Analyze the function f (x) = Your classmates may be analyzing different…

A:

Q: 30 A table of values of an increasing function f is shown. Use the table to find lower and upper…

A:

Q: Find the open intervals on which the function is increasingand decreasing.b. Identify the function’s…

A:

Q: Fina de als where (a) is decreasing Find the intervais where f() is mcreasing The tocal minimumtr of…

A: Consider the given figure.

Q: 7. 4. 3+ 1+ + -1 Graph of f(x) Consider the function f(x)=2/x-3cosx on the interval 0<x<2n. The…

A: Given function is: fx=2x-3cosx By differentiating it with respect to x:…

Q: A crate open at the top has vertical sides, a square bottom, and a volume of 864 cubic meters. Using…

A: Here base = x , height = h      So , Surface Area = x2 + 4xh

Q: The functions f (x) = x+ 1 and g(x) = 2* – 2 are graphed below; which %3D - statement is true about…

A:

Q: Determine the value of the constant a for which the tunction f(X) Is 2 x +7x+ 12 if x# - 4 f(x) =…

A: We have been given the function f(x) which is continuous at x = -4 and we have to find the value of…

Q: university projects that enrollments are going to decline as the pool of college-aged applicants…

A: We will solve I and II

Q: 1. In this question we have three functions: • f(t) is the number of UWC students who register for…

A: Answer is mentioned below

Q: 5. The continuous function g is defined on the closed interval [-4,5]. The graph of g consists of…

A: From -4  to -1  the graph of g(x) is decreasing, So g'(x) is negative   There is a line from -4 to…

Q: A table of values of an increasing function f is shown. Use the table to find lower and upper…

A: We have to find the upper and lower estimates for the given integral.

Q: (1) On what open interval is f 'an increasing function? (2) For which value of x is f '(x) minimum?…

A: (1) Obtain the interval where the f’ is increasing as follows.

Q: Consider the given function and the given interval. f (x) = (x – 5)² . [3, 9] (a) Find the average…

A:

Q: 8. Find where f(x) is increasing, decreasing, and local extrema.

A:

Q: graph of f'(x) of the continuous function f(x) 10 f(x) 10 10 -10 On what intervals is the graph of…

A: Given, Graph of f'x of the continuous function fx is shown as:

Q: what is the average rate of change of the function f(x)=2/x from 2 to 5.

A: There are multiple question. As per company policy ask other question separately.

Q: 4. Comparing average rate of change of two functions. Consider the graphs of f(x) and g(x) below:…

A:

Q: Find the average value of the function f(x) = x- 19 on [0,38 ]. The average value of the function…

A:

Q: 3) 3. A function f is defined by the table shown below. Which of the following is the average rate…

A:

Q: (a) At what values of x do the local maximum and minimum values of g occur? Xmin = (smaller x-value)…

A:

Q: Suppose that a metal plate, thin enough, has the shape of the region two-dimensional D, shown in the…

A: We will find out the required value.

Q: Answer the following questions below: a. State the definition of the Fundamental Theorem of…

A: According to bartleby guidelines we have to answer only first three subparts of the question please…

Q: 3. Given the function defined in the table below, find the average rate of change, in simplest form,…

A:

Q: 30 A table of values of an increasing function f is shown. Use the table to find lower and upper…

A: Lower estimate is calculated by, Lestimate = Summation(i=1 to 6) f(xi-1)* del(x) Lestimate = 4(-14)…

Q: 11.4_7 Can you please help me with a step by step guide. Thank you very much! Find the average value…

A: We have to find all value of  x  in the interval for which the function is equal to its average…

Q: 6+ f(x) 4 3- 2 -1 1 2 3 Use the graph of f(æ) to evaluate the following: -1- The average rate of…

A:

Q: 1. The table shows values of a function f(x). What is the average rate of change of f(x) over the…

A:

Q: A university projects that enrollments are going to decline as the pool of college-aged applicants…

A: The number of applications is modelled by the function a=ft=6500-250t where a is the number of…

Q: 1.40 Continuous or Discrete? Identify each variable as continuous or discrete: a. Number of…

A: Discrete and continuous random variable: If the variable is countable (or, integer value), then it…

Q: guide has a bus that holds a maximum of 84 people. Assume his profit (in dollars) for taking n…

A: Given: P(n)=n(42-0.5n)-84

Q: 6. Determine the relative extrema and the intervals on which f is increasing/decreasing. Show your…

A: Let's solve.

Q: 2. 1 2. (- A spherical ball is being inflated. The radius rof the ball is increasing at a rate of 2…

A: Given that the radius r of the ball is increasing at rate 2 cm/s. That means…

Q: 1. In this question we have three functions: f(t) is the number of UWC students who register for…

A: Please find the solution in the next 3 steps:

Q: 5) Find critical values of the function. If they exist label as a max/min. Only use f' and keep…

A:

Q: A table of values of an increasing function f is shown. Use the table to find lower and upper…

A: Given  x 10 14 18 22 26 30 f(x) -13 -9 -1 2 5 8 -----------------   (1)

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.