Trapezoidal rule is exact for Select one: a. Linear functions and quadratic functions. b. Constant functions and linear functions. c. Constant functions and quadratic functions. d. Quadratic functions.

Q: How will you know if a function increases and decreases and how will you locate the maximum and…

A: Let y = f(x) be any function given

Q: Find of the function x³ z2 – 5æyz = a? + y %3D

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Q: What is the range of the function y = cos™+(x +1)? 0(-2,0] o [0, r] T O (0, T)

A: The range of basic inverse cosine function is 0≤cos-1x≤π. The range of y=cos-1x+1 is also…

Q: y = e2=²-x %3D

A: Solve the differential

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

A:

Q: Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?  Yes, at…

A:

Q: Find the maximum and minimum values of the function f(x, y) x?y subject to 3x² + 4y? = 36 = Maximum…

A: Since the constraint's graph is a circle, which is a closed loop and f is continuous in R2 , there…

Q: Describe the domain and range of the function. f(x, y) = 4x2 - y Domain: o {x, y): x 2 0, y 20

A: we have to domain and range

Q: t is known that the total cost function incurred by a company is expressed by C = Q3 - 118Q2 + 2630Q…

A:

Q: Sketch the curve of f 3x y = f(x) = r³ – 8

A: Given,  y = fx = 3xx3-8  We have to sketch the curve.

Q: How can trig functions be found when using the coordinate plane?

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Q: f(r) = 2r² - e² %3D

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Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

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Q: la)Explain why the function fIz)= 52%_6+zcosz-z°e? is entire?

A: (a) given fz=5z4-6+zcosz-z3ez to show- the function is entire

Q: What are the minimum and maximum values of the function y=3sin3/4(x+2π/3)-5

A: The given function is y=3sin34x+2π3-5. It is known that the sine function attains its maximum value…

Q: Sketch the graph of the function. f(x, v) = y? + 7

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Q: Decide whether the function is linear or nonlinear. 4. 3. y 21 15 10 nswer: linear functi..

A:

Q: Use the linear approximation to estimate the value. Compare with the value given by a calculator.…

A: Think of 4.19.9 as a value of fx,y=xy f4.1, 7.9=4.17.9 Then it makes sense to use the linear…

Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

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Q: Find the interval(s) where the function y = x – 2x² – 7x + 2 is concave down. Justify your answer.

A: Find the double derivative of y and then equate it to zero.

Q: 4. What is the range of the function y = 2(5)*? %D 1) y 0 3) ys0 4) y20 How do you know?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Differentiate the function. y = V7 + 4e3x y' = %3D

A: The function is  y=7+4e3x

Q: Find the domain and range of f(x,y) = e* + /y + 2

A: We can find the answer given below

Q: A vectangular plate is boundeel by x and y axes and the lines x=6 y=4, The thickness 2 is given by…

A: Volume=length × width × thickness

Q: Describe the domain and range of the function. f(x, y) = 8x2 – y

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Q: Find the maximum profit and the number of units that must be produced and sold in order to achieve…

A: Given: Revenue, Rx=52x-0.5x2 Cost, Cx=22x-1 Objective of the question is to find the maximum profit…

Q: What are the points of inter section of y = 8 and f(x)

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Q: (a) Define what it means by for y = f(x). %3D

A: In this question we have to define the meaning of dydx for y=fx

Q: function f(x, y) = 7x – 8y + 2xy – x² + y³

A:

Q: What is the range of the function y=f(x) =2sin 57 A [-3,7] B B [-7,-3] В © [-7,3] D D [3,7]

A: We have to find range of give function.

Q: h of the function, y %3D bel your axes clearly. (x)103

A:

Q: Find the range of function when the domain is {-4, -1, 0, 3). y = – x2 – x |

A: Given domain of the function is  {-4,-1,0,3}

Q: Sketch the level curve of the function y? f(x, y) 9. 16 for c = 1.

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Q: The inflection point of the curve x3 y = V7 -x² + 10x + 97 2 6

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 6 and the line perpendicular to…

A:

Q: Describe when linear approximations are most accurate.y = x2; x = 1, ∆x = 0.5

A: Consider the provided information, y=x2 ,x=1,∆x=0.5 Describe when linear approximations. We can…

Q: (C) f(r, y) = 4x2 – 5y2: maximum value = minimum value =

A: Given that  f(x,y)=4x^2-5y^2

Q: What is the range of the function y = 8cos(x-30°) –2? (A) {y]y e R} (B) {yl-2 sys 8,y e R} (C)…

A:

Q: Find Vf(x, y) for function f(x, y) = 5-- 50

A: We have to find the gradf or del f(x,y)

Q: A right triangle has one leg twice as long as the other. Find a function that models its perimeter P…

A: To find the function that models its perimeter P in terms of the length x of the shorter leg.

Q: is y=x^2 a function? my book said it was but bartlby says it is not

A: If for one value of x we get only one value of y then it will be a function.

Q: What is linear property of the mathematical function?

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Q: What is the linear function?

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Q: Find the point P on the line y = 5x that is closest to the point (52,0).  What is the least distance…

A: Given:The equation of the line is y = 5x.(52,0) is the closest point to the point P which line on…

Q: How many axes (or how many dimensions) are needed to graph the function z = ƒ(x, y)? Explain.

A: How many axes (or how many dimensions) are needed to graph the function z = ƒ(x, y)? Explain.

Q: Find the point P on the line y = 5x that is closest to the point (52,0). What is the least distance…

A: Given that point P lies on the line y=5x. We need to find : i) the point P on the line y=5x that is…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A:

Q: Use the graph of y = f(x) to:Where does the relative maximum occur?

A:

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:…

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

A: Given:- F(x) = 21/√x To find:-  (a) increasing (b) decreasing. (c) where the relative extrema occur.…

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.