What is A line that just touches a curve at a single point.   What is A linear approximate of a function between two points.

Q: What is the slope of the line tangent to the graph of a function defined by f(x)= 2x²-4x+5 at…

A: f(x)=2x2-4x+5Let y=2x2-4x+5Differentiate

Q: Differentiate implicitly to find the slope of the curve at the given point. xy3-x5y2=-4; (-1,2)

A: Given:- xy3 -x5 y2 =-4  To find:- slope of tangent at point (-1, 2)

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 implicitly to find the slope of the curve at the given point. x^2+y^2=1; (2,3)

A: The given curve is

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: 5. When sign analysis is very effective for determining whether a function is increasing, decreasing…

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Q: What can you conclude about the inverses of functions whose graphs are lines parallel to the line y…

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Q: Find the exact location of the relative and absolute extrema of the function.

A: Solve the following

Q: What does it mean for a function to be right-continuous at a point?

A: A function f is right continuous at a point c if it is defined on an interval [c, d] lying to the…

Q: What can you conclude about the inverse of a function y = ƒ(x) whose graph is a line through the…

A: Given Data The function is y=f(x).   The graph is a line through the origin with a nonzero slope m.…

Q: What is the analog of the Two-Path Test for functions of a single variable?

A: The two path for function is if f(x, y) approaches two different values as (x, y) approaches (a, b)…

Q: A linear function represents a curved line. O True False

A:

Q: What is a piecewise linear function?

A:

Q: Write the length L of the rectangle as a function of y.

A: The length L is bounded by two graphs x=2  &  x=2y3

Q: List the points in the graph at which the function is not differentiable.

A:

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: = Find a continuous function

A:

Q: When is a function of two (three) independent variables continuous at a point in its domain? Give…

A: When is a function of two (three) independent variables continuousat a point in its domain? Give…

Q: Interpret the Mean Value Theorem when it is applied to any linear function.

A: Interpret the Mean Value Theorem when it is applied to any linear function.

Q: create a piecewise function showing the rate of money f(x) that must be paid by a customer after…

A: In this question, First, we are to create a piecewise function showing the rate of money f(x)  that…

Q: What does it mean for a function to be left-continuous at a point?

A: function to be left-continuous at a point?

Q: When is a function of two (three) independent variables continu-ous at a point in its domain? Give…

A:

Q: What are the Piecewise-Defined Functions?

A: Piecewise function is a function which has multiple sub-functions. Each sub-functions has different…

Q: Find the linear function that coresponds to the graph shown to the right.

A: Given data:     The first point shown in the graph is: A=(x1,y1)=(0,-3). The second point shown in…

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

A:

Q: Find the slope of a line that is tanget to f(x)= 1/x at the point (2,1/2).

A: Given:

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

A: To write the linear equation

Q: Describe the process of linearization of a function f(x) at a point x = a, and explain how it can be…

A:

Q: Can two level curves of a function intersect? Explain.

A: From the definition, two level curves of a function can't intersect. One level curve is given as…

Q: Determine the average rate of change of the function over the domain graphed. (-3, 5). (3, 5) 4 2 4…

A:

Q: Determine which pair of points can represent as the absolute extrema of the given function at the…

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Q: Find the slope of the curve at the point where 0 = 4

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Q: What will be the orientation of the curve of the graph of the function f(x) = on (-3,0)? A.…

A:

Q: A manufacturer of economy cars has determined that 46,000 cars per month can be sold at a price of…

A:

Q: Estimate the intervals where the function is increasing or decreasing.

A: Given: The graph of the function is, To find: Where the function is increasing or decreasing.

Q: A manufacturer of economy cars has determined that 52,000 cars per month can be sold at a price of…

A: Let x and y represents the price per car and number of cars per month, respectively. From the given,…

Q: A manufacturer of economy cars has determined that 54,000 cars per month can be sold at a price of…

A: The linear relationship between independent variable x and dependent variable y is give as :…

Q: What are some things that nonlinear functions don’t have?

A:

Q: Find the function whose tangent line slope is 3 and whose graph passes through (1,-1)

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Q: What is the linear function?

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Q: What is peculiar about the sloe of a functionbefore and after a point of inflection as compared with…

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Q: Sketch the graph of the function over the indicated interval plot two exact points. y = 2tan( 7x-),…

A: to sketch the graph of the function

Q: Is it possible for two different level curves of a function to intersect?Explain.

A: Query- Is it possible for two different level curves of a function to intersect and explain. Answer-…

Q: (-3, 5). (3, 5) 4 -4 4 2

A:

Q: Suppose there is a function called f(x). How do you find the slope, m, of the line that is tanget to…

A: We have give,

Q: Suppose that f is a linear function with slope 2 and that f(2) = 3. Find the equation for f. (Use x…

A: We have to find linear equation for given data.