Q#5. Evaluate the surface integral ff(x,y,z)dS When f(x, y, z)= 3xyz and is the portion of the plane 2x+y+ 3z = 6 lying in the first octant.

Q: dx 2. Evaluate _1 (1+x²³²) +√√1+x6 by Composite Simpson's 1/3 Rule.. n=4 I= (b − a): f(xo) +…

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Q: functions is/are G.4 which one of the Following Rational Function, sketch the rationt function 2 a)…

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Q: Complete the table. y + 1 = -X -2 0 1 Alu y 00000 (x, y)

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Q: [2] Determine homogeneous the roots of the auxiliary equation y=x²-ecosx for a linear equation with…

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Q: Determine if there are any inflexions on the graph given by y=2x4-3x³+ x²+6. Proof they are points…

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Q: 2. A solid is in the first octant lies inside the hemisphere z = 4 - x² - y², outside the cone z =…

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Q: Fit the following data using Lagrange Interpolating Polynomial X 1.5 5 -4 10 f(x) -4 25 -10 7.5

A: Lagrange's interpolation formula for 4 points can be defined as :…

Q: Fill in the blank with an integer from 0 to 180. The degree of the angle between (1, -2, 1) and (1,…

A: To find the angle between given two vectors we will use the formula cos(θ) =a →·b →|a →|·|b →|

Q: Use the separation of variables method to find the solution of IBVP du du at ax² 0≤x≤4, 120 Subject…

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Q: 2. C is the boundary curve of the area that lies inside r = 1+ sin and outside r = -√3 cos 0 and r =…

A: If f is continuous and non negative on the interval α≤θ≤β with 0<β−α≤2π. Then Arc length of polar…

Q: Use the graph below to determine a, and d for the sequence. {(1, 17), (2, 14), (3, 11), (4, 8),…

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Q: a) A fair coin is tossed 4 times. ¡) Use counting methods to find the probability of getting 4…

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Q: Find the directional derivative of f(x, y, z) = x²y²z + 4xz at (-1,2,1) in the direction 2i + j +…

A: We have to find the directional derivative of f(x, y, z)=x2y2z+4xz at (-1, 2, 1) in the direction…

Q: It looks like the left side of your answer is cut off all the way down. Could you please try again?…

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Q: Question 2 Demonstrate the solution of the following system using Gauss elimination with partial…

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Q: Q2/ Find the slope of the tangent to the curve at x = 8 4 + 48 VA y = 3x5 + 2³√x + 2+√5 M-X-Y 3x²…

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.5 sin (2t − 3).…

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Q: 1. Bees are constantly moving in and out of two bee hives, A and B. The rate of change in the number…

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Q: Which of the following functions is entire? For each, justify. ƒ(z) = (x² − y²) + + 2xyi

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Q: 9. If A, B, and C are sets then the class = {B-A, C-B, A-C, ABC) is a partition of AUBUC. 10.…

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Q: ***** 7. Let n be a positive integer. If = {A1, A2, , . 8. If the sequence of sets An) is a field…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: x : 0<x<T - < x < 0 Find the Fourier series of f(x): = 11 on interval-n≤x≤n.

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Q: iv. y = x² Plot A |Plot B Plot C No Match (b) For each of the direction fields shown below plot a…

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Q: 134) Σ 1 * +1 ₂² n=1 ne"

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Q: y= log10 (3x2-5)

A: To calculate the derivative of function y =log10(3x2-5)

Q: . We fit a model V aPb to the data below using the least squares criterion. Vi Pi 2.27 2500 2.4 1000…

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Q: The supply function q=f(p) for a produ

A: Given that the supply function q=f(p) for a product is quadratic. Three points which lie in the…

Q: 1. V=R³ S = {12 :* ER}. 3x Let V be a vector space and S be a subset of V. Determine whether S is a…

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Q: 1). y" + 3y = 18x², y(0) = −3, y'(0) = 0

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Q: Question 2 When deriving a power series representation of In(5-x), which of the following answers…

A: To find the power series of the below expression. ln5−x

Q: Question 11. Taking a (x), b(x) and c(x) to denote the statements "x E A", "x E B" and "x E C"…

A: Given: A∪B=A∪B-A A∪B⊆C≡A⊆C∧B⊆C ax, bx, and cx denotes x∈A, x∈B, and x∈C respectively. To do:…

Q: Identify whether the following graph is Eulerian or Hamiltonian. And Why ? 1. 2. 3.

A: As per our guidelines we are supposed to answer first three parts.    Theorem : A connected graph is…

Q: 9. Consider the equation y" +9y = f(t) for a forced, undamped, harmonic oscillator. (a) Give the…

A: We have to find the general solution for the given problem.

Q: CLAMPED SPLINE MODEL PROBLEM Suppose S(x) interpolates f(x) at xo = 0, x1 = 1 and 2 = 2 by a clamped…

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Q: CLAMPED SPLINE MODEL PROBLEM = Suppose S(x) interpolates f(x) at xo = 0, x1 1 and 2 = 2 by a clamped…

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Q: Q3/ Compute the first three terms of the Taylor series method to obtain a solution = -xy correct to…

A: We have to solve the given problem by Taylor's method.

Q: What is the log transformed form of the pro- posed model? Choose the correct answer. log V = log a +…

A: given modal V=aPb that fit the least square criterion  claim- what is the log transformed form of…

Q: Alternative Crop A Crop B Crop C PROBABILITY Rainfall Medium 3500 3500 4500 0.5 High 7000 2000 4500…

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Q: Simone got 3/4 of a full bar of chocolate. Hank was supposed to get 1/4 of the full chocolate bar,…

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Q: 3.4.6 Use Green's theorem in a plane to evaluate the line integral 110²-35²) x + ( [(e¹-3y²) dx +…

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Q: For this problem, let f(x) = e. i Find the curvature of f(x). Sketch f and its curvature function.…

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Q: S (x 5) (16-x²) ³/2 dx

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Q: Solve the equation and compare the roots using the five methods. Tabulate the data following 5…

A: Given function is f(x)=-2x2+2x-1 Now graph of the function is

Q: 2. Prove: If A, B and C are sets then Au(BOC) and ((C- (AUB)) (B- (AUC))) are disjoint sets. Provide…

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Q: Use variation of parameters to find a general solution to the differential equation given that the…

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Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 2

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Q: A = [3] mal matrix D at P-¹AP = D, for some invertible matrix P. You do not need to find the chain…

A: Note; since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: 6. Using the division algorithm, show that every perfect square is of the form 4k or 4k + 1 for some…

A: To Show- Using the division algorithm, show that every perfect square is of the form 4k or 4k + 1…

Q: Q3/ Compute the first three terms of the Taylor series method to obtain a solution of y=-xy correct…

A: We need to use Taylor series method to find the solution. h=0.1, y(0.0)=1.0000 y'=-xyy''=-y-xy'