Let I = f x*cos(x) dx. The approximation of I using the two-point Gaussian quadrature formula is:

Q: 1. Determine the Taylor Series (5th approximation) of the function defined by f(x) = sinh x about a…

A:

Q: Sketch level curves for f(r, y) = 2 = y - cos(x) (at least 4). Based on your sketch, describe the…

A: Given fx,y=z=y-cosx. We will sketch the level curves for z = 0,1,2,3. z=0, y-cosx=0⇒y=cosxz=1,…

Q: c) Using the table below how many factors should the researcher keep and why? Factor Total 1 3,751 2…

A: From the above given data the following solution is provided below:

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Q: For the functions f(x) = 3x – 4 and g(x) = x + 2, find the following and determine %3D the domain in…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: What is the mean absolute deviation of the following set? {23, 24, 29, 30, 38, 48}

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A:

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

A: See the attachment

Q: 2. Determine the Maclaurin Series (5th approximation) of the function defined by f(x) = sinx. a.…

A: Maclareen series is taylor series about zero i.e. a =0…

Q: 4) The median of the pdf f (x) = x 1,2,3, .7 is equal to 5 a. True b. False 5) The value of the…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: It has become common for shoppers to comparison shop using the Internet. In a survey, respondents…

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Q: h 4 (b) Lim h-0 V5h + 4 - 2

A:

Q: Use the spinner shown to answer the question. Assume that it is equally probable that the pointer…

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Q: *1. Solve the problem by applying the Fundamental Counting Principle. A restaurant offers a choice…

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Q: *2. At a lumber company, shelves are sold in 4 types of wood, 3 different widths and 6 different…

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A: Given : Probability of success,p = 0.80 Probability of failure,q=(1- 0.80)= 0.2…

Q: 3. Sketch two full periods of the function f(x) = cos (3x +=) + 1. Determine (3x+)+1. Determine %3D…

A: Given that f(x)=cos3x+π2+1To find : amplitude,period,horizontal shift ,and equation of…

Q: For the functions f(x) = Vx – 3 and g(x) = vx + 2, find and determine the domain in each case: (a)…

A: Note: Since, you haven't mentioned which question you would like to get answered. Here, we are…

Q: The dynamics of the variable y with respect to variable x is described by the following ODE: dy –x²y…

A: Runga-Kutta Method of order 4:

Q: If AC is the diameter of circle D, then what is the value of mLA+ m/C? B.

A:

Q: y1 = y1 + Y2 and y2 = y1 – Y2

A:

Q: Q3. Expand and simplify (1) (2k – 3)(k - 2)

A: Given :                      (2k - 3)(k - 2)           Now we try to expand (2k - 3)(k -…

Q: Consider the boundary value problem y" + y' = b. — 2x^2, У(0) %3D1, У (0.75) — 2.5 i. Derive a…

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Q: a Q5 Make Q the subject of P= Q² +b

A: we have to make Q the subject of P=aQ2+b that implies we have to solve it for Q.

Q: 1. Solve the given differential equation. (a) x²y" - 2y = 0 (b) x²y"+y' = 0 (c) x²y" + xy' + 4y = 0

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Q: The numbered disks shown are placed in a box and one disk is selected at random. Find the…

A: Given picture is  No.of green disks=3i.e., 1,4,6          numberedNo.of blue disk=5i.e., 2,3,5,7,8…

Q: Provide an appropriate response. The critical values of f(x) = 4x - 48x + 24 are x = -2 and x = 2.…

A: The critical values of the function fx=4x3-48x+24 are x=-2 and x=2. To find : Which of the critical…

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.