Show the derivation of formula for the conversion from spherical coordinates to rectangular coordinates.

Q: [9] Let A = {1, 2, 3, 4} and B = {a, b, c}. Define a function G: A –B as follows: %3D G = {(1, b), (...

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Q: please

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Q: A dietician wishes to plan a meal around three foods, The percentages of the daily requirements of p...

A: Given, The percentage of daily requirements of proteins, carbohydrates, and iron contained in each o...

Q: Factor the polynomial and use the factored form to find the real zeros. (Enter your answers as a com...

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Q: Use the method of undetermined coefficients, to solve the differential d²y +y = e* + x³ given that y...

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Q: A. Construct interpolating polynomials P1(x), P2(x), and P3(x) of degrees 1, 2, and 3 respectively u...

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Q: 1 4 1. S s+9 5 20 2. С1. s+3 1 5s – 3 6s – 5 - 3. С 4s +7 3s - 2 4. L1 s2 ) +8s+25

A: We have to find the inverse Laplace transformation.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: 7. Find the Inverse Laplace Transform of 3/ sqrt [(s - 2)^3] * A. (6/T) [ t^(1/2) e^2t] B. (6/T^1/2 ...

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Q: ecide whether or not the method of undetermined coefficients can be applied to find a particular sol...

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Q: Determine the solution of the first-order ordinary differential equation: 2y' +4y- 4y cos x 0

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Q: What is the inverse of (show the steps) a) 20 mod 49 b) 7 mod 26

A: Multipart :  We have , 20 mod 49 We need to find Inverse. We know that , if aa¯ ≡ 1 mod m then a¯ is...

Q: 3 Evaluate the determinant for the following matrix: 1 O A.8 ОВ. -2 О С.5 O D. -4

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Q: The graph of a force function (in newtons) is given. How much work is done by the force in moving an...

A: To determine the amount of work done by the force in moving an object 10 m.

Q: A. Find the area under/bounded by the given curve. Show the graph (you can use any graphing software...

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Q: Find the finite Fourier cosine Transform of f(x) = x2 in 0 < x < 4. CoSx Show that J_2(x) = -sinx – ...

A: Multiple :  We need to find Fourier cosine transform of  f(x) = x2  in  0 &lt; x &lt; 4. Cosine seri...

Q: Value of |cos15° sin15 | sin 15 cos15" O 1 O 1/2 3/2 none of the above O O

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Q: 5-89. Graph the two functions below on the coordinate plane at right. y = 3(2)* y = 3(2)* + 10 How d...

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Q: Cholesky's Method • Check if symmetric • A = AT 1 1 1 1 2 2 1 2 3 1 1 1 AT = 1 2 2 1 2 3 Given: A = ...

A: We consider X1=x, X2 =y,  X3 =z  Then Equations 

Q: 3s+2 s+25

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Q: –3t cost -. F(t) = te-3t

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Q: Example H·W : CHECK POINT 1) Determine the convergence or divergence of the following series , and f...

A: Multiple :  (a) We have givens series , ∑k=1∞-34k-1 Now , ∑k=1∞-34k-1 = ∑k=1∞-34k-34-1 ∑k=1∞-34k-1 =...

Q: Question 2 A. Construct interpolating polynomials P1(x), P2(x), and P3(x) of degrees 1, 2, and 3 res...

A: Newton Forward difference formula can be used only for equi-spaced arguments.  For non-equispaced ar...

Q: (D) Let s be an integer such that 1 ss < 104651 and 24578° mod 104651 = 3190 Find s and explain how ...

A: Let s be the integer such that and Purpose: To find the value of s

Q: Prove that if gcd(a, b) = 1 and gcd(a, c) = 1, then gcd(a, bc) = 1. %3D

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Q: 1. Compute forward approximations of O(h) and O(h² for the first derivative of y = e* evaluated at x...

A: 1st we will derive formula for O(h) and O(h2) and then find corresponding values 

Q: 1. Evaluate by expansion of minors: 10 -3 -2 -4 3 2 Solve the system by use of determinants: 12

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Q: 4. The area which is inside the circle r = 8 cos e and outside the circle r = 2 cos 8.

A: Introduction: In polar coordinate, the equation of a circle centered at the origin with radius a uni...

Q: Consider the weighted voting system (30: 25, 8, 8, 5, 2}. Are there any players that are dictators, ...

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Q: Find the volume of the solid generated by rotating the region under the curve y=√x from x=0 to ...

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Q: ..... Q.5 Show that s! dx= 2a"

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Q: Let G be a graph with n vertices. Prove that if G is connected and has n 1 edges, then G is a tree. ...

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Q: Question 4. An element g in a group G is called a square if g = a? for some a e G. Suppose that G is...

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Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as indica...

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Q: Let 52D If possible, express w as a linear combination of the vectors 71, 02 and 3. Otherwise, enter...

A: We have to write w as a linear combination of v1 , v2 and v3.

Q: A golf ball is struck across a flat fairway at an angle of 60° with an initial speed of 135ft/s. a.)...

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Q: 3 A square matrix M is said to be nilpotent provided Mk = 0 for some positive integer k. [1 1 17 If ...

A: Given A = 111011001

Q: Let F be a field and f(x) e F[x] be a polynomial of degree > 1. If f(m =0 for some E F. thenf(x) is ...

A: Since α ∈ F, x- α ∈ F[x]. Also f(x) ∈ F[x].

Q: Find the characteristic equation of the recursive relation an 송,Mn 2 1. O 3r – 1=0 Or+3=0 Or-3= 0 Or...

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Q: 1. Find the distance between the points A (3, –7) and В 9, 1). 2. Give the equation in the form ax +...

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Let E be the solid given in spherical coordinates by 0spS VI0, 0 < 0 s m/2, 0< ¢ S a/4. Describe the...

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Q: 6s – 5 4s +7 3s – 2 s +8s+ 25 ) s+7 s(s² – 3s – 10) naL 3²L² +n?n?

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Q: 10. F(t) = te-4cost %3D 11. F(t) = -6t'et %3D 12. F(t) = e' u(t – 4) %3D

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Q: Questions Q1. Find the volume of the solid that is obtained when the region enclosed by the curves y...

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Q: Show that the following function f is a separation convex. (Hint: Show that it is a separated form a...

A: To Show- Show that the following function f is a separation convex. fx, y, z = 3x2 + y2 - 2x + y + 5...

Q: 5. Prove the following identity for n 2 1: Fzn+1 = F+1+ F;

A: We need to prove that ,  F2n + 1 = F2n+1 + F2n We know that ,   Fm+n = FmFn+1 + Fm-1Fn ,  m ≥ 1 , n ...

Q: [21(t) rı(t)] Let x(t) = be an unknown vector-valued function. The system of linear differential equ...

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Q: Use Cramer’s rule to solve the system 2X+3Y-Z=10 5X +2Y +4Z =8 -x-5Y+2

A: Write the equation in matrix form 23-1524-1-52XYZ=1084 Find the determinant D D=23-1524-1-52=24+20-3...

Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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