A simple curve that often makes a good model for the variable cost of a company, as a function of the sales level x, has the form y=p,x+B₂x²+₂x³. There is noconstant term because fixed costs are not included. Complete parts (a) through (c).P₁B₂BC0y=5516086 x + (-03699737)+(00115405):(Do not round until the final answer. Then round to six decimal places as needed.)B3B₁Pa(=b. Find the least-squares curve of the form above to fit the data (3,1.57), (5,2.03), (7,2.1), (9,2.8), (11,3.3), (13,3.5), (15,3.8), and (17.4.34), where x and y representsales and costs in thousands. Produce a graph that shows the data points and the graph of the cubic approximation.

Answered: Image /qna-images/answer/8de8d618-b629-4821-ad96-247c992d8835.jpg

Answered: A simple curve that often makes a good…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Sketch on the graph of the function to the left a right triangle whose hypotenuse is the line segment from (a, f(a)) to (a + h, f(a+ h)). y What are the lengths of the respective legs of this triangle? 画 What is the slope of the line that connects the points (a, f(a)) and (a + h, f(a+ h))? a a+h 國

Graph the equation: f(x) = (x+1)^3 - 5 Please include coordinates as well as vertical shift/compression and horizontal stretch/compression amounts.
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = foot-pounds required to empty the trough by pumping the water over the top. Note: In this problem, use 62 pounds per cubic foot as the weight of water. x from x = 1 to x = 1. The trough is full of water. Find the amount of work in 2 ft 1ft y = x8 foot-pounds US V O CO %23
For the given function y=x^2+2x+9 a). Determine whether this function has a maximum or minimum value. b). Draw a sketch graph of the function.
The table gives the projections of the population, in millions, of a country's residents over age 16 for selected years from 2015 to 2060. Answer parts (a) through (e). Year 2015 2020 2025 2030 2035 a. Graph the data, with y equal to the population in millions and x equal to the number of years after 2010. Choose the correct graph below. All graphs have viewing window [0, 60] by [0, 400] with Xscl = 5 and Yscl = 50. OA. O B. Q Q Population (millions) 255.161 266.024 276.558 286.967 297.259 MooBook Air O C. b. Find a linear function that models the data, with y equal to the population in millions and x equal to the number of years after 2010. y=x+ (Type integers or decimals rounded to three decimal places as needed.) c. Graph the model and the data on the same axes and comment on the fit of the model to the data. Choose the correct graph below. All graphs have viewing window [0, 60] by [0, 400] with Xscl = 5 and Yscl = 50. OA. OB. G O C. Year 2040 2045 2050 2055 2060 O D. O D.…
Consider an axisymmetric feeding bowl as shown on the left below. Its cross-section is shown on the right with the axis of symmetry aligned along the y-axis. The top curve of the cross-section is given by the function b. What is the capacity of this bowl? Capacity= cm³ c. Find the volume of water inside the bowl if the water level is 3.3 cm measured from the bottom. Volume of water = 1 961 y = C 961 The horizontal base joins the endpoints of the top curve. Both x and y are in cm. You may need to use a computer algebra system to solve some of the following problems. Round all your answers to at least 3 significant figures. a. Assume that the bowl is solid and is made with plastic. Find the amount of plastic (as a volume) required to make this bowl. Amount of plastic = cm³ cm3 -x4 (9-x) 1 4 -x¹ (9 + x) y 0≤x≤9.1 -9.1 < x < 0 X
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Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? A: C(t) = -0.10t+25 B: C(t) = 0.10t+25 C: C(t) = 25(0.10)^t D: C(t) = 25(1+0.10)^t

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