Given the following vectors and points, transform each to spherical coordinate system. 8åx at (4,1,3) Answer: 4dy at (6,54°,4)

Q: Find the Orthogonal Trajectories: a.) y6 = C (x2 + 1)

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Q: 1. Consider the relation < on the set {1,2, 3, 4}. Write down this relation as a set of ordered pair...

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Q: Find the directional derivative of f(x, y, z) =

A: Given,        f(x, y, z)=xy2+yz3 and            a=i^+2j^+2k^  

Q: Doy 6 Proctice, 6.6 Triangle Properties Find each angle measure. 1. MZECD 2. mZK K NO NO 31 82 B. 3....

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Q: 1. Solve the following initial value problem (a) Given the differential equation y" + 2y' – 3y = e- ...

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Q: Give the definctiua of the, hctat matan padet AR Sy Usc yous onswer to Identeta the sze of the Vesal...

A: As per policy question (a) solved.Please re-post for the question (b).

Q: (1 – x²)y - 2ry' + 2y = 0

A: given differential equation 1-x2y''-2xy'+2y=0                ...i let the solution be of the form y=...

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Q: Suppose Sf f(x)dx = 2 and f' g(x)dx = 7; find f*16 – 2f(x)dx] 14 O 40 O 31 O 24

A: Given ∫14f(x)dx = 2   and∫14g(x)dx = 7

Q: ala lo oepse a ad 1. Let m*(A) = 0. Prove that for every B, m*(BUA) = m"(B).

A: We have to prove the given statement.

Q: 1. Solve the initial value problem, y"(t) + 4 y'(t) + 3 y(t) 8(t – 1) , y(0) = 1, y'(0) = 0 whoro S(...

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Q: find a vector of length 5 unit that makes angle 76° with Y-axis and 25° with Z-axis ?

A: To find a vector of length of 5 units that makes angle 76° with y-axis and angle 25° with z-axis.

Q: 1?+3 v (1) =: 4/ 5t +8 5<t< I5 Where t is in seconds and v is in m/s. Using Simpson 1/3 Rule using h...

A: Here the given function is                                     vt=t2+3;     1≤t≤545t+8 ;   5&lt;t≤15...

Q: Solve the following: (Show all details) 1. Let matrices be [3 0 4] A = |-1 2 2 5 4] [o 2] C = 2 4 li...

A: It is given that ; A = 304-122654  ,    B = 0-5-3-524-340  ,     C = 022413  ,  D = 61-47-83 u = 20-...

Q: 3. Consider the function f defined by f(x) = b, 0 <x < L. i) Extend f as an odd function and find it...

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Q: 3- x = cos t ly= sint +t cismin yüzey alanı aşağıdakilerden hangisidir? 0<t< le verilen parametrik e...

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Q: 5. Prove or disprove each of the following statements: (a) Any set of 7 distinct integers contains t...

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Q: A frictionless spring with a 8-kg mass can be held stretched 0.8 meters beyond its natural length by...

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Q: Solve the ifferential equation using Ace Laplace transforms- y"-2s'+9 = 6 xe*

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Q: 1) The position of a mass point moving on a straight line is given by the following equation, x(t) =...

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Q: Use a linear approximation of f(x)=cos(x) at x=2π3 to approximate cos(123∘). Give your answer round...

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Q: A. Use Lagrange third order polynomial to interpolate the value of f(x) at x = 2.25, given the follo...

A: Given data is Formula for Lagrange 3 degree polynomial f(x)=(x-x1)(x-x2)(x-x3)(x0-x1)(x0-x2)(x0-x3)...

Q: 1. X = {1, 2, 3, 4, 5} and Y = {3, 4}. Let's define a relation R in a set P(X), by a formula: (ARB) ...

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Q: Find the area of the region that lies inside the r = 2 + cos 2θ but outside the curve r = 2 + sin θ

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Q: А. X+dy =3 2x -3ÿ =-8 B. x tay +2 =-2 X tdy +Z=-2 -2メ-39-2 = dx +4y tQz==4 ミ9

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem....

Q: If the pth, qth and rth terms of an A.P. are a, b and c respectively, prove that : a(q – r) + b(r – ...

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Q: Evaluate I = , dx dy where R is the region that lies inside the circle x2 + (y – 2)2= 4 and outside ...

A: We have to find ∬Rdxdy where R is the region that lies inside the circle x2+y-22=4 and outside the c...

Q: B. Use Newton's Method to interpolate the value of f(2.8). 1.6 2 2.5 3.2 4 4.5 f/x) 2 8. 14 15 8. 2

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Q: -12 3 3 3 3 -12 3 3 -12 3 Evaluate 3 3 -12 3. 3 3 3 -12 O A. 123 O B.-12 OC.No correct answer O D. 1...

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Q: . Find the missing values in the following table : x: 45 50 55 60 65 y: 3.0 2.0 -2.4

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Q: Refer to Figure 1, find the Laplace transform of the function f(t) 1 f(t) b a a + b Figure 1: Functi...

A: Here first we write our function in terms of unit step function and then can use following formula t...

Q: The Fibonaccis Sequence is defined so that F = F –1+ Fr-2. Given that F12 144 and F13 233, find F14,...

A: Given that  The Fibonaccis sequence is defined. 

Q: List the first five terms of the sequence. a1 = 4, an+1 = 5an – 1 a1 = a2 аз az = a4 a5 =

A: Fist five teems of the sequence

Q: 1. Prove that the Taylor series expansion for the function f(x) =x' about x 1 is reduced to x'.

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Q: Compute the Inverse Laplace of the following Laplace Transforms. Show complete solution F(s) = 1- 35...

A: Solution

Q: 4. Let a be an odd integer. Show that (i) 8| a² – 9; (ii) 16 | aª – 81.

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Q: Locate all relative maxima, relative minima and saddle points (if any) for f(s, t) = 14s² + t³ – 14s...

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Q: 2. The series = 6 (2n)! 24n +1 (n!)? (2n + 1) n = 0 3 1.3 2.4.5 1.3 5 2.3 2, + 2.4.6.72) + • has bee...

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Q: Given the function f(æ) = exp(2 – cos(3x)) and the mesh x; : xo + ik, where xo 3 determine the centr...

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Q: Determine whether or not the following series converge. (You do not have to calculate the sums!) Jus...

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Q: 6. Rewrite the integral ? v4-z2 f (x,y, z)dydzdx equivalent iterated integral in the order dzdydx. a...

A: Order of change of triple integrals

Q: now that 6z2 - 77y = 123456789 has no integer solutions for z and y.

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Q: The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the sq...

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Q: Question # 1: Part: a:For given matrix A, find Col(A), Row(A) and Null(A). Also write the dimension ...

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Q: A particle of unit mass is projected so that its total energy k in a field of force of which the pot...

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Q: Test the validity of the following argument S1: if 5 is less than 3 then 6 is not a prime number S2:...

A: We need to determine the validity of given argument by using given information

Q: 1 To test the series for convergence, you can use the P-test. (You could also use the Integral Test,...

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Q: g I OPn oi lo ponnipes in b 0Nat hol tol novun and 1. Let m*(A) = 0. Prove that for every B, m*(BUA)...

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Q: 2) Min(Z) = 4X1 + 6X2 S.T. 5X1 + 10X2 12 X1,X2 20

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Q: etermine whether the following statements are true or false and justify your esponse. -3x d²y dy y =...

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