Given a point in cylindrical coordinate (4, , -4 find its equivalence in spherical coordinate. Draw the coordinate system

Q: Find the Laplace transform of tet-1u(t-1)

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Q: One solution of the differential equation is given. Find the general solution. y)-y"-12y'-40y 0, y e...

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Q: (a) Use the differential equation to show that any solution is increasing if m < P < M and decreasin...

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Q: Calculate the expected payoff of the game with payoff matrix 2 0-2 0 -3 3 -1 0 -2 0 P = 3 1-1 using ...

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Q: Prove using the formal definition of a limit that the following sequence converges: +00 S-n3 + 2n – ...

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Q: Find the root of f(x) = (x – 4)° (x +2)= 0, using the initial guesses of X2 = -2.5 and Xy = -1.0, an...

A: Note:- For this problem any particular method is not mentioned. so, here i'm using Bisection Method....

Q: Q2/ Solve the differential equation by using the appropriate method y' = (y + 4x)²

A: Given differential equation is y'=y+4x2.....1. We have to solve the given differential equation 1. S...

Q: Official with all four sides equal. ng a

A: We have to show that angel x and angel y congruent. Step by step with properties of rhombus.

Q: Solve the given differential equation by hand (showing all steps to the solution) using an appropria...

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Q: Use an appropriate series in (2) in Section 6.1 to find the Taylor series of the given function cent...

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Q: 1 2 Is A stable? a) Let A = 2 4 2.

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Q: Let y be a solution of the differential equation 2 * - (). T+y- I+y+I where x + y +1>0 for all x,y s...

A: Differential equations

Q: Find the Laplace transform of t cosh 2t

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Q: SECTION 2.3 EXERCISES 1. For each of the following, compute (i) det(A), (ii) adj A, and (iii) A-1: 2...

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Q: Consider the following payoff matrix. -1 -5 P = -3 3 (a) Find the optimal mixed row strategy. (b) Fi...

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Q: Newton's Method will fail to approximate the solution to f(z) 0 with initial guess ro when: Oco is n...

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Q: Let U, A, B, and C be defined as shown below. U= [ a, b, c, d, e, f, g, h, i, j } A = { d, e, g, h, ...

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Q: Find the general solution of (y + 1)dx + (x – 1)dy = 0. O zy+x – y= C O ry – 2x – 2y = C xy + x + y ...

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy problems....

Q: The foci of a hyperbola H are F1(1, -6) and F2(17, -6). A parabola whose vertex is the center of H a...

A: The equation of a parabola with vertex at a point (h,k) is given by the equation; (y-k)2=4p(x-h) whe...

Q: COMPLEX NUMBERS Find the roots. Kindly show the step-by-step solution. Thank you! GIVEN: z5 = 4i

A: Roots complex number

Q: Describe congruence conditions on p > 2 an odd prime that classify exactly when 11 is a quadratic re...

A: We have to describe congruence condition on p&gt;2 an odd prime that classify exactly when 11 is a q...

Q: Determine if f is differentiable at x = 0 0 given that X. 4 cos 2. G), if – 2 0, x + 1. (x – 1)6'

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Q: What s S Snteget gsenta that divides the no. s the Smalleset Positine than 1 2021 2021 (7) |

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Q: - Find in terms of Jo and J:

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Q: 2. If you know (1 – a.0 s a s 1 * f(x) cos ax dx = 0 ,a>1 Find the value f(x)!

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Q: Q3/ Find the differential equation of the following curves where A and B are arbitrary constants: y ...

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Q: O Convert this Entegral From rectangular Coordinate to Spherical Coordina tes (Donot eval vate the E...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 2. Define the map T:P2¬P4 by T(f) (x)=f(x²), Please determine the rank of I by using standard basis.

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Q: Verify that the function c,(x+ y) = xe the differential equation (x² + y² kdx + (x² – xy ldy = 0 . i...

A: Given differential equation is x2+y2dx+x2−xydy=0. We have to verify the function c1x+y2=xeyx is the ...

Q: Please solve using Cramer's Rule.

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Q: 10, 000, draw a direction field and use For the case where k = 1, M = 100, 000 and m = it to sketch ...

A: In the given problem it is given a differential equation in P. Also, there are values for k, M and m...

Q: Suppose TE L(V) and By : v1, V2, ..., Vn is a basis for V such that for By 3 2 1] 0 1 0 0 0 2 M(T) (...

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Q: What is the equation of line tangent to sin r+1 y = at the point (T, -1)? cos E O y= TX –1 - O y = 1...

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Q: Let y be a solution of the differential equation 2 * - (). where a + y +1 > 0 for all æ, y I+y+I suc...

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Q: Solve (yx-2x^4)p+ (2y^4 - x³y)q = 9z(x? - y^3)

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Q: Prove that for every integer n 2 0, gcd(Fn + 1, Fn) = 1.

A: Given: Fn is a Fibonacci sequence, with F0=1=F1. To prove: For every integer n≥0, gcdFn+1, Fn=1.

Q: Solve xy" + y = 0.

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Q: Let T E L(F<") such that T( for any z, w E F. (a) Find all the eigenvalues of T and their correspond...

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Q: 2. Find in terms of Jo and J,: x²½(x)dx

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Q: 1. Evaluate the following integrals: a) dx 17 + x2 b) . dx xV5x2 – 4

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Q: 11. Let S= {| -2 }. Show that u= E span S. 1 2

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Q: Let = ary- + ba-y", with a and b constant. Pis a point given by (-1,-1) and it is known that (P) = 2...

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Q: Let V be the vector space of polynomials of degree < 2 with real coefficients, endowed with the stru...

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Q: x1 + x2 + x3 = 2 20x1 + 2x2 - x3 = 25 2x1 + 13x2 - 2x3 = 30 Linear algebraic equation set x1 (0) ...

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Q: Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, i...

A: Given,         AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, and the sum of the opposite angl...

Q: (a) sigma notation. You may use the following fact: Find the Taylor series of In(x) about a for a > ...

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Q: sin x cos x 1 - sin x 2 sin x 2 cos x Зcos x -1

A: Here given D=sinxcosx1-sin x2sinx2cosx3cosx-1

Q: Let D = {1, 2, 4} %3D Let P(x) be the predicate "x - 2x 0". Is it true that Vx E D, x- 2x > 0?

A: Proving by counter example.

Q: Part 2: Find each of the probabilities when a state is chosen at random: A. P(A or B) В. Р(А) С. Р(В...

A: Part 2. P(A) = Probability that the state name begins with A through M          = (11+15)/(11+15+13+...

Q: Consider the following set. S = {(2, 0, 0), (0, 8, 0), (0, 0, −18), (2, 5, −9)} Solve for c1, c2, c...

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