Consider the function f(x) = 5 - 6x on the interval [-1,4]. (A) Find the average...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the function f(x) = 5 - 6x² on the interval [-1,4]. (A) Find the average or mean slope of the function on this interval, i.e. f(4) - f(-1) 4- (-1) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-1,4) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. C = Consider the function f(x) = 5 - 6x² on the interval [-1,4]. (A) Find the average or mean slope of the function on this interval, i.e. f(4) - f(-1) 4- (-1) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-1,4) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. C =
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
N balls labeled 1 through N are placed in Box 1 while a Box 2 is initially empty. At each time instant, one of the N balls is chosen (with equally probability) and moved to the other box. Let X [k]...
-
Prove that A n is simple for n 5, following the steps given. a. Show A n contains every 3-cycle if n 3. b. Show An is generated by the 3-cycles for n 3. c. Let r and s be fixed elements of {l, 2, ...
-
N sources of current with different emf's are connected as shown in Fig. 3.40. The emf's of the sources are proportional to their internal resistances, i.e. ε = aR, where a is an assigned...
-
Suppose that Q(x, y) is a function such that 1/Q(x, y) is continuous for all (x, y). Which of the following statements are true? (a) Q(x, y) is continuous for all (x, y). (b) Q(x, y) is continuous...
-
How can both market and management factors affect the growth of a new venture?
-
A stereo speaker represented by P in the figure below emits sound waves with a power output of 112 W. What is the intensity of the sound waves at point x when r = 11.2 m?
-
Water flows past a flat plate that is oriented parallel to the flow with an upstream velocity of \(0.5 \mathrm{~m} / \mathrm{s}\). Determine the approximate location downstream from the leading edge...
-
Table contains data for the installation of new equipment in a manufacturing process at Excello Corporation. Your company is responsible for the installation project. Indirect costs are $15,000 per...
-
Write 4 paragraphs about 'modes of communication in Blackberry' with citation and references in APA style.
-
A concrete corporation had cost of goods sold of $1,550,000 for the third quarter. The beginning inventory at cost was $155,000, and the ending inventory at cost amounted to $180,900. The inventory...
-
Question (Relationship between "s-domain" and "z-domain")(Draw both by hand and Matlab m-file): In figure 1, constant damping ration curve, constant frequency curve and constant time constants are...
-
Consider a stock and two European call options of the stock. The price, Delta, and Gamma of the two options are given by the following table. Price Delta Gamma 40 strike 45 strike 2.7847 1.3684...
-
A 7% semiannual coupon bond matures in 4 years. The bond has a face value of $10,000 and a current yield of 7.3683%. What are the bond's price and YTM?
-
NIKE INC. AVERTON Ore. March 21 2013 NIKE Inc. today reported financial results for its fiscal 2013 third quarter ended February 28, 2013. For continuing operations, strong demand for NIKE Inc brands...
-
Orange Computers has transformed into one of the largest smartphone companies in the world. Based on recent changes to the federal tax code, building phones in the US has become more attractive....
-
July 1 5 Borrowed $ 1 , 0 0 0 cash from the bank, giving a 6 0 - day non - interest - bearing note. The note is discounted 6 % by the bank. Sept: 1 3 Paid the $ 1 , 0 0 0 note, recognizing the...
-
During 19X1 and 19X2, Company A used straight-line depreciation for its assets, resulting in deprecation expense of $40,000 each year. During 19X3, the company decided to switch to the...
-
Three successive resonance frequencies in an organ pipe are 1310, 1834, and 2358 Hz. (a) Is the pipe closed at one end or open at both ends? (b) What is the fundamental frequency? (c) What is the...
-
Prove Theorem 11.3.
-
Discuss consistency, stability, and convergence for the Implicit Trapezoidal method wi+1 = wi + h/2 (f (ti+1,wi+1) + f (ti ,wi)) , for i = 0, 1, . . . , N 1, With w0 = applied to the differential...
-
In Exercise 10 a. 58.9x 1 + 0.03x 2 = 59.2, 6.10x 1 + 5.31x 2 = 47.0. Actual solution [1, 10] b. 3.3330x 1 + 15920x 2 + 10.333x 3 = 7953, 2.2220x 1 + 16.710x 2 + 9.6120x 3 = 0.965, 1.5611x 1 +...
-
Derive the expression for the shape-efficiency factor \(\phi_{B}^{e}\) for stiffness-limited design for a circular tube with outer radius \(5 t\) and wall thickness \(t\), loaded in bending (Fig....
-
Derive the expression for the shape-efficiency factor \(\phi_{B}^{e}\) for stiffness-limited design for a channel section of thickness \(t\), overall flange width \(5 t\) and overall depth \(10 t\),...
-
Derive the expression for the shape-efficiency factor \(\phi_{B}^{e}\) for stiffness-limited design for a square box section of wall thickness \(t\), and height and width \(h_{1}=10 t\) bent about...
Study smarter with the SolutionInn App