If a line is parallel to the vector 4i + 1j + 4k and passes through the point P = (3, 7,9), then the parametric equation of the line is :

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Q: Consider the nonhomogeneous system 2х, — 6х, + 3х, —-4 -X + x; + x, = 5 2.x; +6x, – 5.x, = 8

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Q: Let vi = be two vectors in R2. nine whether v = aש ,ןכ nine whether {v1, vz} are

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Q: Question [5 points): L{4e * – 12t} = 4 -(0-3)t *dt – 12 te*dt Select one: O True O False Question [5…

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Q: 7. Match the function with its graph 1 1. f(z, y) = In(r² + y*), 2. f(1, y) 3. S(r, y) = y² – x²,…

A: This is a problem of multivariable calculus.

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Q: MS,-76, MS- 22, n- 10, df- 27, X- 30, and a- 0.05, what is the confidence interval? 27.47 SHS 32.53…

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Q: Find the approximate root in 5th iterations of the function f (x) = e2 + e-1, (-0.5, 1 %3D using…

A: To find The approximate root in the 5th iteration by using Regula-Falsi method.

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas c sections using…

A: This is a problem of the Application of Integral calculus.

Q: 4. Рy/Оx? - 60у/дx - 5 %3D 0

A: 4 Given differential equation is ∂2y∂x2−6∂y∂x−5=0. We have to identify the order, degree, type of…

Q: 1) An electronic manufacturing firm has the profit function P(x) = - x3 +? x² – ADx + A, and revenue…

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Q: Find the approximate root in 5th iterations of the function f (2) = x3 - 2a - 5, xo 2.5 by x = 2x +5…

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Q: Evaluate / (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7, -5)

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Q: 28. Bounded by the planes z = x, y = x, x + y = 2, and z

A: Solution:-

Q: Consider the system of linear equations: X1 + kx2 2x1 + 4x2 = k = 1 4x1 + 8x2 = 4 where k e R is a…

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Q: I the Fourier transform of f(t)= 3sin5t +4cosl %3D

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Q: Find and classify all the critical points of f(x, y) = x³ - y³ - 8xy.

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Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: Given equation is 225x2+100y2+36z2=900. (a) To identify: The name of the curve, and its axis. (b) To…

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Q: Let F be a continuous and differentiable vector field. Suppose, for every value of r, the total flux…

A: Given data F→ is a continuous and differentiable vector field. F→=8r4-3r3 the total flux F→out a…

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A: Use the following rules, to obtain the transformation of the parent function y=fx. Replace x by nx…

Q: Let n be a positive integer. Which among the following statements is true? * O n+1 and n+ 2 are not…

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Q: 3. f(t)=1®+b+a cosh /21 + bsinh /21

A: 3 Given function is ft=ta+b+acosh2t+bsinh2t. We have to find the Lft. Take Laplace transform of both…

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A: To Evaluate: ∬Rsinx2+y2dAWhere R: 16≤x2+y2≤81

Q: Topic: Laplace Transform   Please solve Nos. 6 and 7

A: We know that

Q: Consider the discrete-time SEIR epidemic model Sn+1 - S, + A - 8 - uS. S.In S„In En+1 - E, + B (u+…

A: We will use the basic knowledge of ordinary differential calculus for linear, homogeneous ODE.…

Q: Question 5 If T is a linear transformation such that T(1,0, 0) = 1, T(0, 1, 0) =2, and T(0, 0, 1) =…

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Q: Let D be the solid unit cube: 0<x<1, 0<y<1, 0 <z<1. (#9) Let S be the closed surface boundary (the…

A: Introduction: The divergence theorem describes how the flow of a vector field across a closed…

Q: Let D be solid hemisphere x? + y² + :² 0. The density function is d = :. We will tell you that the…

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