Find parametric equations and symmetric equation for the line. 8) The line through (2, 1, 0) and perpendicular to both i + j and j + k

Q: y-(x-5)2 + Sin-l XY 4.

A: To expand: y-(x-5)2+sin-1xyx+5.

Q: 1) Let f(x) = |x|. Determine the fourier series given by: %3D f(x) = bn cos(nrx) n=0

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Q: Determine whether each improper integral below converges or diverges. 1. S xe*dx -3x хе 1

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Q: Mellin transform

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Q: Find the Laplace Transform of cos(2t) + 7sin(2t) 14 A 7+4 + s2+4' s2-4 s+ 14 B 52+4 14 s2+4 s2+4 s-…

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Q: Find the coordinates of the image. Ry-axis (S) -- -3 Ry-axis (S) = (Type an ordered pair)

A: Given : The coordinates of a point S is (-3, 4) To find : We have to find the image of S under…

Q: Answer each question correctly. Show your complete solution The complex number 2 + 4i is one of the…

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Q: Home Work No. (2) Solve the following systems of the equations using: (i) Cramer Rule, (ii) Gauss…

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Q: 1. Find the Taylor series polynomial expansion of degree 5 of the function cos x at a == 2

A: We want to find Taylor series of f(x) = cos(x) at a = π2

Q: M [xP (1 – x)<-1 2F1 (a, b; c; 1- x) H(1 – x); p] = T (p - a + c + p)r (p – b + c + p)

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Q: State whether each of the following series converges absolutely, conditionally, or not at all. n…

A: Given series is ∑n=1∞(-1)n+1nn+3

Q: L = {cos (–5t)} L = {e-3t sin (5t) } 5 s2+25 (s+5)+9 s2– 25 (s+3)+25 s2+25 (s+3)–25 s2+5 (s+5)+25

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Q: Find 2(A+B) ( Matrix Addition & Scalar Multiplication). 4 3 -2 -5 2 3 B = -2 -3 4 6 -1 -2 A = 6. -1…

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Q: 12 +4t +10 dt + 2r² + 5t

A: We can solve this by using integration First we decompose it then find constant and next we…

Q: 6s 3 Find the Inverse Laplace Transform of + s²+25 s2+ 25 6 -cos3t – -sin5t 5 3 A B 3cos5t+ - sin3t…

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Q: Find the determinant of the matrix 3 3 M = 2 -1 -1 -2 1 det(M) :

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Q: Find the Inverse Laplace of F(s)= 2s - 1 ? s?+4s+8 B. 2e2t cos2t - 5/2e 2" sin2t e 2t D. e2t cos2t -…

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Q: The surface area of the part of z = 2 + V4 – x² – y² that lies inside the paraboloid z x² + y² is

A: This is a problem of vector calculus.

Q: If F(p) and G (p) are the Mellin transforms of the functions f(x)

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Q: Find the Laplace Transform of h(t) = t? sin(2t) 12s?– 16 A H(s) (s²+4) 3 48² – 3 B H(s) (s² – 4) 3…

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Q: Question 22 6s – 5 Find the Inverse Laplace Transform of F (s) = s2+7 5 A f (1) = 6cos(/7t ) -…

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Q: The accompanying table shows wind speed and the corresponding wind chill factor when the air…

A: X = Wind speed in MPH  Y = Wind chill in °F By logarithmic regression calculator

Q: Find the roots using Bairstow's method of the function f (x) = x* – 2x3 + 2x² + 3x – 4. Use u, = 1…

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Q: An airline offers coach and first-class tickets. For the airline to be profitable, it must sell a…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: 3. Let P be a projection on a Banach space X. If ace, then these are closed linear subspačes of X .

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Q: Find the slope of the tangent line to the polar = 1/0 at 0 = T. curv rve r=

A: The relation between the Cartesian and polar coordinate system is x=rcosθ, y=rsinθ. The slope of the…

Q: Theorem 3.1. Let V be an inner-product space and vectors x, y e V, then | (x, y) |< || x || | ||.…

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Q: 7. z – 1 -1 (-1)* 8. 3z + 1

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Q: Which of the following is the general solution to the differential equation (2х + 3у — 1)dx + (2х +…

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Q: Question 1 Following raw data showing ages in year of 20 children studying in a school. 4.9, 3.2,…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: (4) + 4y + 6у + 4у +у%3D0|

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Q: Suppose p= 5x?+2x +3o figure out the coor olicuate relative to the follewing basis for 29 pi =i, Pz…

A: Given p=5x2+2x+3 and basis  p1=1p2=1+xp3=1+x+x2

Q: Define a sequence {E;} where En = |r – ÷,r| where n is positive integer. Find P({r}) for any rE…

A: Given a sequence Ei  where En=r-rn,r where n is a positive integer

Q: dy _ 3y = x*ys ? What is the general solution to the differential equation dx - y = (cx² +;*) =x…

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Q: Given the matrix below and its corresponding rref(A) and rref(AT) 1000 -2 -| -3 10000 0100 - 12 0 10…

A: Let us find the basis for the null space of A in the next steps.

Q: Determine whether each improper integral below converges or diverges. a dx 2. S Vax -

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Q: Find the determinant of the matrix [3 0 0 3 3 M = 2 -1 -1 | 0 -2 1 (M) =

A: Given matrix is M =300330200-10-10-210

Q: (a) Identify the curve r = 4 sin 0 – 2 cos 0 by finding a Cartesian equation of the curve. (b) Find…

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Q: Solve the Cauchy-Euler differential equation x²y' +7xy + 25y = 6.

A: Given differential equation is x2y''+7xy'+25y=16x.....1. We have to find the general solution of the…

Q: The total number of subsets of a finite set A has 56 more elements, then the total number of subsets…

A: given a finite set has 56 more elemnets

Q: Determine whether each improper integral below converges or diverges. 1. S xe -3x dx 1

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Q: 92 article in the Journal of the American Medical Association ("A Critical Appraisal of 98.6 Degrees…

A: Sample size less than 30 so we use t test

Q: A computer game company needs a clock to be integrated into a game scene. You have been hired to…

A: Given A computer game company needs a clock to be integrated in to a game scene . you have been…

Q: 3. Find the solution of the heat equation = 0 if the boundary conditions are = 0 %3D and the initial…

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Q: 1 Find the exact arc length of y -over [1, 2]. Show all your work. 3 4х

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Q: L= {4 sin (3t) + 2 cos (9t)} L = {sin (2t) cos (2t)} 4s 6 2 + s2+1 s2 –9 s2+4 4s 6 + 82+1 2 s2+9…

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Q: Find a linearly independent set of vectors that spans the same subspace of R' as that spanned by the…

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Q: 9. It turns out that finding explicit solutions for H(t) and L(t) for a system of equations like…

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Q: A curve C is defined by the parametric equations x = 1– t2 y =t – t3 (a) Show that C has two…

A: A parametrized curve is given, x=1-t2, y=t-t3. (a) We have to show that C has two tangents and then…