Time left 0:29:31 The function f(x) = |r – 1|+ |r| is continuous at: F O c= 0 only. O c=1 only. O c= -1 only. O ce {0, 1} only. O Every point e ER

Q: Solve V²u = 0, a <r < b, 0 < 0 < 27, %3D U, (a, 0) = f (0), ur (b, 0) = g (0), 0<0< 27, where | f ds...

A: As per the question we have to solve the Laplace's equation on an annulus : a&lt;r&lt;b and impose t...

Q: The f(x) 6x2 -5x-4 2x2 +x is discontinuous %3D at x = -1/2. By redefine = w , then f will be continu...

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Q: Q1: Three points in space are determined by the coordinates A (1, 5,-2), B (3, 2,-1) and C (0, 5, 3)...

A: The given problem is to find the dot product , cross product and angle between the vectors formed by...

Q: sin TZ Let f (z) = Find the residue of (z – 2)? f (z)at z = 2 -

A:  We have to find the residue of f(z)  at z=2

Q: Find the following integrals: sin x Ssin' xcos? xdx dx sin (x+ a) (i) (ii)

A: (i)We have,∫sin3x cos2x dx=∫sin2x cos2x (sinx)dx                             =∫(1-cos2x)cos2x(sinx) ...

Q: Circle

A: In this question, a statement is given as- If the toy bock is a triangle, then the toy block is blue...

Q: Evaluate the improper intergal 1 dr using the residue theorem. (x² + 4)?

A: Solving imroper integral using residue theorem

Q: = x* +

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Q: C) There are 20 small towns in a district. A group of 3 people have to be chosen from I of these tow...

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Q: 1. Let V = P2(C) be a vector space of polynomials of degree less than or equal to 2 over C. (a) Give...

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Q: The exchange rate of the U.S. Dollar with respect to the TL is modeled by a differential equation as...

A: The formula for Eulers method is yn = yn-1+h×fxn-1, yn-1 x0 = 1.8 and y0 = 18.10 y(1.8) = 18.10 We n...

Q: Generate eight equally spaced points from the function f (t) = sin?(t) from t = 0 to 2n. Fit this da...

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Q: of the transfo ) Check whether the linear transformation given by T(z, y, :) (- 4y +2, 2r +y+ 3:, 5r...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: sin TZ Let f (z) Find the residue of f (z) (z – 3)² at z = 3

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Q: dy over

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Q: nd the work done for the fo om (1,0,-2) to (4,6,3).

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: The pay-off matrix of the strategies followed by two players A & B is given below. Player B Strategy...

A: The solution to a game can be found using the graphical method. To apply the graphical method follow...

Q: Write the statement: "Today is John's birthday and he will turn 18 years old today". a. a Vb b. a Ab...

A: Given questions are from logic and set theory. They are more than one question. According to bartleb...

Q: Identify Future Value 1. Monthly payments of 3,000 for 4 years with interest rate of 3% ompounded m...

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Q: The exchange rate of the U.S. Dollar with respect to the TL is modeled by a differential equation as...

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Q: Let f (t) = e4t sin 5t Find L{f' (t).}

A: The solution is given as  

Q: 2 -1 - (a) Find the general solution of the system of DEs X' = AX, where A = |-1 -1 -1 -1 2 (b) Use ...

A: We are entitled to solve only one question at a time. Please post another question separately. To fi...

Q: dy/dx = tan y cot x — sec y cosx

A: Let us consider the differential equation of the form Mdx+Ndy=0. then the equation is said to be exa...

Q: | x* 1(x) dx = 32 v? ;(V?)

A: We are given an integral involving the first order Bessel function. And we will use the powe series ...

Q: What is the easiest way to parse the roots below:- c6 - 30+2:75 D -75)y=9.é Jha eie + (zetc3と qe ピ- ...

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Q: 1. A cross section of a nuclear cooling tower is a hyperbola with the equation x2 y? = 1 90 130 The ...

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Q: Consider the following problem; max f(x1 ,X2) = -x? – xị subject to (x1 – 1)3 > x} C. Check whether ...

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Q: Let f: IR → R and g: R → R with f(x) = 5x – 7 and g(x) = x2 – 4x + 4 Find: a) Domain of . g(D(f.g)) ...

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Q: (b) Graph the function, write coordinates for the X or Y axes intercepts, 2 (i) f(x) = ;x - 5 (ii) f...

A: We have to sketch the graph of the given functions in the xy-plane with the coordinates of x or y in...

Q: 4. Let L: R2 → R, be the linear transformation defined by (a) Find ker L. [In in + In In] = ([ ?n In...

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Q: y" – y' – 30y = 0 0) - 1, у 10) --4

A: The general form of a second-order homogenous linear differential equation is given by y''+p(x)y'+q(...

Q: - Bessel's differential cquation is x y"(x) +x y'(x) + (x-c) y(x) = 0 Transform it into a new differ...

A: From the given question, we have to find the new transformed differential equation in terms of varia...

Q: Let k : [0, 1] → R define by S -1 k(x) = 1 for x E Q for x E Q' is discontinuous at every point of [...

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Q: Q: Use Lagrange's Formula to Prove that : 1) Y = Y3 – 0.3 * [ Y5 – Y_3] + 0.2 * [Y_3 – Y_5] | |

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

Q: 3). Find the equation of the regression for the two correlated scores, and draws the linear diagram:...

A: Given correlated scores are X Y 120 90 125 120 127 190 134 270 142 220 149 250 153 ...

Q: Find the future value of each deposit if the account pays (a) simple interest, and (b) interest comp...

A: When the interest is simple, then the formula used is A=P(1+rt) , where, A is the final amount, P is...

Q: State with reason whether following functions have inverse (i) f: {1, 2, 3, 4} {10} with f = {(1, 10...

A: (i)f: {1,2,3,4}→{10} withf={(1,10),(2,10),(3,10),(4,10)}From the given definition of f, we can see t...

Q: Twenty thousand pesos is deposited in account that pays 8% interest. Find the account balance after ...

A: Let P be the principal amount at the rate of interest of r% for the time period of t years then the ...

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: QOUTIENT RULE OF DIFFERENTIATION if y=f(x)g(x) then y'=g(x)f'(x)-f(x)g'(x)g(x)2

Q: Rewrite the following initial value problems for a non lifferential equations as an initial value pr...

A: Introduction: A differential equation is an equation that contains the derivative of an unknown func...

Q: 1 Evaluate the improper intergal dx (x² + 16)² using the residue theorem. 8.

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Q: (b) Without using the series form of Bessel's funetions, show that d - (x Je(x)] = x" Je-1(x) dx

A: The Bessel function is one of the most important and significant functions in mathematics and the fi...

Q: Simplify the following using rules of logic. ~(~p ∧ q) ∧ ( p v q)  p →~p v q  p v q →~p ∧ q

A: Given 1 ~~p∧q∧pvq2 p→~pvq  3 pvq→~p∧q

Q: Problem 1 Let f (t) = e5t sin 6t Part (b) Find L{f' (t)}

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Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Solution 

Q: Lagrange's theorem, in group theory, a part of mathematics, states that for any finite group G, the ...

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Q: (a) Complete k (-1)* 2k+n = -½(x) k! (k + n + 1)! k=1

A: Solution a: Given ∑k=1k(-1)kk!(k+n+1)!x22k+n=-J?(x)            (1) Since we know that Jn(x)=∑k=0(-1)...

Q: Complete with Bessel functions x* J, (x) dx = 32 V? J;(v?) %3D

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Q: Determine the continued expansion for sqrt(10). & Use the continued fraction for √10 to find a rat...

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Q: Solve V²u = 0, a <r < b, 0 < 0 < 27, U, (a, 0) = f (0), u, (b, 0) = g (0), 0<0< 27, where I fds + g ...

A: In the question we are given the Laplace's equation in polar coordinates and some special boundary c...