What are Linear Functions?

Q: Define the term linear functions?

A: A function of the form f(x)=ax+b is called a linear function. Where a and b are real numbers.  A…

Q: Are these tables lin Table 1 4 6. 16 25 2345

A: We have to check

Q: 1. f(x) = x², g(x) = 4|x]? %3D %3D 2. f(t) = 212 + 14t , g(t) = 2f² – 14t 3. f(0) = cos(30), g(0) =…

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Q: 5- -4 -5 -4 -2 -3 -5 -5 0 -5 -4 -3 -2 2. ent

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Q: How do you determine if an equation in x and y defines y as a function of x?

A: To Determine: If an equation in x and y defines y as a function of x. Explanation: If in any…

Q: a. a Yes or No (circle one) Explain: 8. Domain Range b. {(2,-1).(-7,5).(3,6),(-4,5),(0,9)} Yes or No…

A: Given,  Relation in part (a) and (b) We have to identify as function and to find domain and range .…

Q: 1 point Would the following data represent a function? y 4 3 3. 3. O Function Not a Function 5.

A: definition of a function is: a relation from a set of inputs to a set of possible outputs where each…

Q: 3) f(x, y) = -9 sin x-5 cos y at (0, 5 (0,7) A) L(x, y) = 9x - 5y - C) L(x, y) = -9x - 5y - 5 B)…

A: We have to find the linear approximation of the given function.

Q: С. X01 y 6 12 18 24 D. x0 1 2 3 y 3 201 2.

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Q: What does it mean to plot A as a function of B. What will be on the y-axis and x-axis and why?

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Q: A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and…

A: Let x be the number of stalks she plants and y be the amount of beans, each plant yields. Consider…

Q: Find a linear function that generates the values in the given table. 3.1 3.2 3.3 3.4 3.5 y 18.4 19.8…

A: Given the table is

Q: What are the Functions of Several Variables?

A: Function of Several Variables: If we define a real valued function of n variables as y = f(x1, x2,…

Q: The height of the water level at an irregular tidal shelf is given by h(t) = 3 sin (1) cos (2¹)…

A: The given function is ht=3sinπ6tcosπ12t, where t is hours past midnight and h is the water level in…

Q: Step 2 () * - () • (::)() one must find : et et dt insort glan () ) in the at tt 7- e et dt gives: -…

A: Please check next step.- also consider giving precise question from now on.

Q: 1, cosX, cos 2X,--- , cos mx

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Q: Pretest: Unit 4 Question 6 of 21 Which of the following is a key property of the linear parent…

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Q: linear functions or not?

A: Given,           A table is shown below :

Q: 2. A truck rental charges P 3,000 to rent a truck for a day, plus an additional fee for mileage. The…

A: Solution ) truck rental charge = 3000 Total cost = renting a truck + 100 miles driving 6500 = 3000 +…

Q: it a function

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Q: What is linear property of the mathematical function?

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Q: a) f(x, y, z) = 0 b) f(x, y, z) = 1 c) f(x, y, z) = (y + 2, z)

A: A function is linear if

Q: -2 2 4 6 f(x) 12 9 6

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Q: why are linear functions sometimes symmetric about the y-axis but never symmetric about the x-axis?…

A: Concept of Symmetry about the axes:…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.