Find the relative extrema of the following functions: а. у%3х3 — 12х? + 36х + 8 b. у%3-2x? + 4x +9

Q: Find the relative extremes of the two-variable function f(x, y) = 2x3 + 2y3 + 6xy + 1

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Q: If 150 bags are demanded per month when the price is $75 per bag and the amount demanded fell to 100…

A: Equation of a line passing through the point (a,b) and (c,d) is given by: y-d=m(x-c)    OR…

Q: A manufacturer estimates a production function to be f(x, y) = 100x0.6y0.4 where x is the number of…

A: Given  Production function is  f(x, y) = 100x0.6y0.4  where x is the number of units of labor and y…

Q: If a linear function has positive rate of change, does its graphslope upward or downward?

A: Slope measures the rate of change in the dependent variable as the independent variable changes. The…

Q: Differentiate the function (5y 1)4 /y2 1 G(y) In =

A: Given information:

Q: What is the equation of the function y = translated 3 units to the left and 4 units up? Oy = 4 X-3…

A: The given function is: y=2x

Q: Find the linearization of the function at the given point.

A: Given: f(x,y,z)=tan-1xyz Linearization of multivariable functions Recall the linearization of a…

Q: Suppose that the demand D for candy at themovie theater is inversely related to the price p.(a) When…

A: Given : The demand D for candy at themovie theater is inversely related to the price p. we have to…

Q: Decide which of the two given functions is linear, and find its equation. -10 10 20 30 f(x) -1.5 1.5…

A: The table is, x -10 0 10 20 30 f(x) -1.5 0 1.5 3.5 4.5 g(x) -9 -4 1 6 11   The slope of…

Q: I am having trouble figuring out if I made an error, I keep getting 8,000

A: From the given data: The price is directly proportional to the number of people and inversely…

Q: Differentiate the function.

A: The given differential equation is y=x2e-1x Apply the product rule f·g'=f'g+g'f to differentiate the…

Q: The education of women in Oman in the year 1999 was (30+5) percentages. It was increased to (75+R)…

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Q: Suppose that the demand D for candy at a theater is inversely related to the price p. (a) When the…

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Q: Represent the following equation functions. (a) (r – h)² + (y – k)² = r²

A: We have given an equation (x-h)2+(y-k)2=r2. Represent given equation as vector valued function.

Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: Plot the following functions 1. y = -V2x +1 2. y = (x- 1)3 + 2

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Q: A landscaping company charges $49 per cubic yard of mulch plus a delivery charge of $27. Find a…

A: Given A landscaping company charges  per cubic yard= $49 delivery charge =$27

Q: Use the terms domain, range, independent variable, and depen-dent variable to explain how a function…

A: A function f from a set A to another set B is a rule that associates each element of set A, a unique…

Q: A concert hall has a maximum capacity of 4050. When the ticket price is $31.00 the average…

A: We have to find the function that models the per concent revenue in terms of the attendance x.

Q: a young person should sleep 8 hours plus 1/4 hour for each year the person is under 18 years of age.…

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Q: Find the Relative Rate of Change for the function y = 2xe3

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Q: billy-sean o'hagan notices that the demand for the college newspaper was 2,000 copies each week when…

A: Given The demand for the college newspaper was 2,000 copies each week when the paper was given free…

Q: the piece wise linear function f(x) is shown to the right.

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

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: Find the relative extremes of the two-variable function f(x,y) = 2x3+2y3+6xy+1

A: maximum at (-1,-1)

Q: Differentiate the function.

A: Given:y=1+2e3xDifferentiation formula:ddxeax=eax.a

Q: Decide which of the two given functions is linear and find its equation. ‹ 0 1 2 3 4 f(x) 912 15 18…

A: To find which of the given function is linear (f(x) or g(x)) . Also find its equation :-

Q: Find the slope of the graph of the function at the given point.

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Q: Differentiate the function. B(y) = cy−2

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Q: Make two separate plots of the function f(x) = (x+1)(x-2)(2x - 0.25)- e one plot for 0sxs3 and one…

A: We need to make two separate plots of the function f(x)=x+1x-22x-0.25-ex one plot for 0≤x≤3 and one…

Q: A data table for Y = Y(X) with evenly spaced values for X can be modeled with a linear function if…

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Q: A company pays $20 per hour for up to 8 hours of work, and $30 per hour for overtime hours (hours…

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Q: A manufacturer of graphing calculators has determined that 12,000 calculators per week will be sold…

A: To write the linear equation

Q: 1 ye 15 X +3 (2)

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Q: Suppose the weight of a 2-year-old is 28 pounds. When the child is 5, he weighs 58 pounds. Determine…

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Q: Use either a graphing calculator or a spreadsheet to complete the table. Express all your answers as…

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Q: For Item # 9 - 10: A company manufactures fuel tanks for automobiles. The total weekly cost of…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: (d) Differentiate the implicit function below y³ + y = 2x² + 4

A: Given y3 + y= 2x2 +4

Q: Find the relative rate of change if f(x)= 10 – 3e-4. %3D |

A: Given,           The relative rate of change of f(x)=10-3e-4xWe know that that,         The relative…

Q: Find the slope of the line that connects the points x = a and x = a + h for f(x) = 2x^2

A: Given,        The slope of the line that connects the points x=a and x=a+h for fx=2x2.

Q: Use either a graphing calculator or a spreadsheet to complete the table. Express all your answers as…

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Q: Determine the equation of the function below. (0.2, 4.2) |(1.9, 4.2) |(0, 3.6) 3 | (1.05, –0.4)

A: The general equation of a cosine function is given by; y(x)=a cos(b(x-c))+d where a is the…

Q: Graph the function. y-2-x -10 -5 10 I J J J -10 5 10 -10 -5 10 -5 -10 @X ①

A: Solution:- the graph of y=2^-x is

Q: Differentiate the function with respect to the independent variable. h(t) = t - 7t+2 h'(t) =O

A: Given function, h(t)=92t2-7t+2

Q: Differentiate the given function. y= (5x2 + 3) 3 2x-5+ y's

A: We have to differentiate the given function…

Q: Get the:  1. Revenue function  2. Demand function

A: To find out the revenue function and demand function by using the marginal revenue function.

Q: A manufacturer of graphing calculators has determined that 12,000 calculators per week will be sold…

A: Given problem is : A manufacturer of graphing calculators has determined that 12,000 calculators…

Q: Use either a graphing calculator or a spreadsheet to complete the table. Express all your answers as…

A: In each cases Substitute the values of x and y than simplify.