F(x,y,z)= and C is parameterized as r(t)= you may assume VXF=0

Q: Suppose that Var(X) = 934.93, Var(Y) = 11297.02, and Cov(X,Y) = 2912.35. What is Var(.87X + .13Y)?

A: The given .The aim is to find the .The formula used .

Q: (a) 4 L-2 (c) for X₁ 3 2-2 (b) 4 3 3 2-1 for X₂ [] -1 for X₁ 11 17 02 23 5 5 41 07-36x₂ 245 51 ³][*]…

A: a) The linear system of the equation in the matrix form is :The aim is to solve the solution for b)…

Q: Guess a formula for 1+3+5+...+ (2n-1) for n ≥ 1 and prove your result by induction.

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Q: The Moneybuilder account offered by a chartered bank calculates interest dally based on the dally…

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Q: (9) Solve the following diserental equation dy dx 2 3+y 3.x 3-y = (9x - y²x), y(0) = 0 Answer: = e

A:

Q: 13. For the vector fields: A = x + 2y ŷ + 3z 2; B = 3y - 2x ŷ. Check both product rule given in…

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Q: 2. Given the periodic function over the period [-π/2, π/2] f(x) = x |x| a. Plot f(x) on the interval…

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Q: Suppose the relationship between Y and X is given by: Y =  -10 - 25X By how much does Y change if X…

A: The objective of the question is to find out the change in the value of Y when X decreases by 2…

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s²…

A: All the given values and small elements in the tank are shown in the figure below:

Q: A thin wire represented by the smooth curve C with a density p (units of mass per length) has a mass…

A:

Q: 4. The transformation equations from the x-y to u-v co-ordinate systems are given by 1 u = x+y y x +…

A: The objective of the question is to find the region in the u-v coordinate system that corresponds to…

Q: g.uk/courses/37010/files/13546023?module_ite... Topic review: Surface area Download 235 review…

A: The objective of the question is to calculate the area of metal used to make the waste skip and the…

Q: Consider a random graph G(N, p) with .In the limit N → ∞ the average degree (k) is given by 0 0 0 0…

A: Given a random graph G(N, p) withWe have to find the average degree  and hence we have to state the…

Q: Let R₁ and R₂ be relation on a set A represented by the matrices [0 1 0] 1 1 0 го о 17 MR₁ = 0 1 0…

A: and We have to find the matrix representation  and .

Q: 8 Odd Half - Range Extension Create the odd function go(t) by flipping fo(t) 180° around the…

A: A function f(t) is said to be an odd function if f(−t)=−f(t).Given thatf0(t)={8t,0≤t≤18,1≤t≤4g0(t)…

Q: can you explain how they simplified using the chain rule

A: The chain rule is a fundamental concept in calculus that allows us to differentiate composite…

Q: Consider a random graph G(N, p) with e² In 2 3N 3/2 р = .In the limit N → ∞ the average degree (k)…

A: The objective of the question is to determine the average degree (k) of a random graph G(N, p) in…

Q: Q3 A mixed-model assembly line has eight stations. Average cycle time is 15 minutes, but times vary…

A: For a mixed-model assembly line A number of the stations are:N=8The average cycle time is :The…

Q: 2. Sketch the graphs of the functions x² - 1 and sin x versus x on the same set of axes. Use this…

A: The objective of this question is to find the roots of the function f(x) = x^2 * sin(x) – 1 using…

Q: Find the radii of both circles. State the translation in vector form and the scale factor that will…

A: Consider the given circle drawn as follows.We need to find the radii of the given circles.

Q: 8-k d²u du dx² dt Solution of Partial Differential equation By Separation of Variable Method

A: We have to solve the partial differential equation by separation of variable method.

Q: A curve is given by the parametric equations  x=t^2/1-t  y=t+1 give an implicit equation in x and y…

A: The required Implicit form of the curve isy2+xy−2x−2y+1=0.Explanation:Steps and explanations are as…

Q: If E(X) = 65, then what is E(0.87*X + 4)? (Use two decimal places, ex: 12.34)

A: The objective of this question is to find the expected value of a random variable that has been…

Q: Suppose that c is the line segment from (a, b) to (c,d). (a) Show that [rd |x dy – y dx = ad – bc…

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Q: What is the minimum number of year-end deposits that have to be made before the total value of the…

A:

Q: 1. Given the following transformations on f(x)=√x, a vertical stretch of about the x-axis, a…

A: Given function We have to find the new transformed function

Q: = 1, an+1 = 2a²+1 4 η Σ

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Q: lx = Uy tu + du du K = - y dy dx Solution of Partial Differe Separation of Varial

A: According to the guidelines of Bartleby, solve only one part, which is question number 4.

Q: Suppose the expected value of X is 29; and the expected value of Y is 97. What is the expected value…

A: The objective of this question is to find the expected value of the expression (0.63*X + 0.37*Y),…

Q: 13. Calculate the Fourier series in the sines of the function f(t)= t³ in the interval [0]

A: Given function is we have to find out fourier sine series for given function.for that we consider…

Q: 4. Solve the inequality 9-2x+1 < 4. Express the solution in interval notation. O O A) 1 - log32 2 ∞)…

A: The objective of this question is to solve the inequality 9 - 2x + 1 &lt; 4 and express the solution…

Q: Find UA, and ₁4, where: a. A₁ = {iº, i¹, i²) for every positive integer i. b. A₂ = {2i+1} for every…

A: a. ⋃i=1∞​Ai​ ​ is the set of all non-negative integers.b. ⋂i=1∞​Ai​={1}.Explanation:Let's find the…

Q: [10 For the matrices: M = 0 0 1 0 1 0 and N = [1 1 100 0 1 a) List the corresponding ordered pairs…

A: The given matrices are .We need to find the corresponding ordered pairs in the relations on .We know…

Q: (a) Evaluate fF.dr, where F(x,y) = ( 32² (₁²²1 - 32²y) ₁ + (8y-2² - (²²12) j and C is the line…

A: Bartleby Guidelines :-Since you have posted multiple questions, we will provide the solution only…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: When multiplying or dividing numbers, the result should have the same number of significant figures…

Q: du du 6-y+x² = 0 dx dy Solution of Partial Differential equation By

A: As per our company's guidelines we are supposed to answer only first question. Kindly repost other…

Q: Determine the coordinates of the center of the circle and determine its radius if its equation is x2…

A: To determine the center and radius of the circle represented by the equation , we first need to…

Q: 14. Find the Fourier serial expansion of the function f(x)=x+1, for 0<x< π

A: We have to find the fourier series expansion of the functionWe know thatThe fourier series expansion…

Q: Let A, B be bounded subsets of R. Which of the following statements follow (tick all that apply)? If…

A: Since A⊆B, every element of A is less than or equal to every element of B. Therefore, supB must be…

Q: [10 For the matrices: M = 0 0 1 0 1 0 and N = [1 1 100 0 1 a) List the corresponding ordered pairs…

A: The given matrices are .We need to find the corresponding ordered pairs in the relations on .We know…

Q: 4.-Use the binomial theorem to find the first four terms of development 1 (4 + x)2

A: We have to find the first four terms of the expression (4+x)−12, we'll first rewrite it…

Q: Write the level surface 4 = 2x² + 5y + √√z as the graph of a function f(x, y).

A: Given, an equation:It is required to express the level surface as the graph of a function , meaning…

Q: Consider a random graph G(N, p) with e² In 2 3N 3/2 р = .In the limit N → ∞ the average degree (k)…

A: The objective of the question is to determine the average degree (k) of a random graph G(N, p) in…

Q: Use a substitution of the form y = (x − c)' to find a general solution to the given equation for x>…

A:

Q: Prove:

A: The proof of the statement is given in the explanation part.Explanation:Steps and explanations are…

Q: 2 Consider the set S = {x² + 1, 2x − 2, −x² + x}. The set S spans P2. If t(x) = 5x² + x + 2 € P₂,…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: (d) Let h(x) = f(x³ +1). Find the closed form expression for (not an infinite series expression)…

A: As asked we shall solve only part d.

Q: Rotated triangular plate The plate in Exercise 39 is revolved 180° about line AB so that part of the…

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Q: Line 1 is defined by slope m = -2 and y-intercept c = 4 . Line 2 passes through the points (x, y)…

A: See the Explanation section Explanation:(a) Line 1: m=-2; c=4Slope-intercept form: y=mx+c Line 1:…

Q: Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 10…

A: