x + 3y + kz = 4 Q-4: Consider the linear system {2x + ky + 12z = 6 For which values of k does the linear system have no solutio., a unique solution or infinitely many solutions? Find the solution set when k 7.

Q: Your manager, Brenda, is concerned that the per unit cost for delivering the pouches is too high. Sh...

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Q: 2. Given f(x) = 3x – 2 and g(x) = =+, find each of the following: %3D (a) (f o g) (z) (b) (go f) (z)

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Q: Find the volume of the solid enclosed between the cone z = hr? and the plane z = 2h.

A: The variables in cylindrical coordinate systems are r, z and θ. In this problem, we have to find the...

Q: ( 3x?y + ev )dx + ( x³ + xe' – 2y)dy=0

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Q: Solve the differential equation using Ęatce Laplace transforms- y"-3y'+2y=1-4X+2X Y(0)=4,y10)= 5-

A: Properties of Laplace transform  Ly''=s2Ly(s)-sy(0)-y'(0) Ly'=sLy(s)-y(0) Ltn=n!sn+1 L-11s-a=eat L-...

Q: Find dx/dy if y = V 1 + væ

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Q: 3. (~P+>Q) →(~P→~ Q) -P -PQ -PQ (-PQ}>(-P→~Q). F F

A: The word negation ~ is the inverse of any statement. Calculate the negation of the statements P, Q. ...

Q: Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial va...

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Q: Evaluate L{t"*e }. (a-b)! А. a-b+1 (s+m)* *** (a+b)! В. a+b+1 (s-n)**** b! С. C. . b+1 (s-+a)** a! D...

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Q: 8. Suppose E is a nonempty subset of R. Show E = aEUint(E) %3D

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Q: Answer 1

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Q: कर (n-3) (rx-3) (2) 2+1) ( १५2)

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Q: Find the optimal solution. MAX   Z=6X+7Y st 4X+5Y≤20 10X+7Y≤35 3X+4Y≥6  X ≥0, Y ≥0 and X is not a...

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Q: : Find inverse Laplace transform: 3s+7 1) F(s) = s2 -2s-3 (s+2)³ 2) F(s) = s+1 3) F(s) 4 s2 -8 3+6s+...

A: Multipart   Inverse Laplace transform of a function  F(s) is piecewise continuous function and expon...

Q: The set C of all complex numbers, with the usual operations of addition and real scalar multiplicati...

A: The set ℂ of all complex number with usual operations of addition and real scaler multiplication for...

Q: Consider the differential equation y" + ay' + By = t + e2t. Suppose the form of the particular solut...

A: The particular solution must satisfy the differential equation. It is known that: ddtt2=2tddtekt=ket

Q: b) Find the volume of the solid which is in the first octant and bounded between the spheres p = 1 a...

A: To find- Find the volume of the solid which is in the first octant and bounded between the spheres ρ...

Q: In two or more complete sentences, explain how to find the time it takes for a rocket follow 3t and ...

A: Introduction: A parametric equation is a type of equation that uses an independent variable called a...

Q: fter separation of variables, the general solution of Laplace's equation V-V ertain scenario is writ...

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Q: (Future value of an ordinary annuity) What is the future value of each of the following streams of p...

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Q: Consider the function f : N x Z→Z x Z defined by f(m, n) = (n, m² +n). (a) Determine, with proof, wh...

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Q: SW Solve for the first derivative of ,(x+5) x' +e x³ +e + Vx f (x) = V0.1 at x= 0.05 using FCD BCD a...

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Q: Let F(x, y, z) = xyi + y²j, find divergence and curl of vector field F.

A: The given question is related with the divergence and curl of a vector field. Given that,           ...

Q: Direction: Solve the following problems. • The length of a radlus of a circle is 9 cm. The arc of a ...

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Q: | Verify that Hamilton’s relations hold for the matrices 1, i, j, and k. Also show (assuming associa...

A: Note:- In given problem, exact one question is not mentioned  (that is, problem is yellow marked  or...

Q: find the important parts (vertex, focus, directrix, endpoints of latus rectum and focal point diamet...

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Q: 2. Prove that L(cashkt)= ki 52-K2

A: To prove that  L(cosh(kt))=ss2-k2  

Q: Solve for the Laplace Transform of f(t) = t2sin 2t Oa. 16s? 4 F(s) = (s² + 4)3 (s² + 4)2 O b. F(s) =...

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Q: Solve the following: (Show all details) 1.Let matrices be -2 -21 A = | 10 -3 L-10 5 19 4 -4 B = 4 7 ...

A: Multipart:   We have ,   A = 6-2-210-311051  ,  B = 94-4470-4011  , C = 310-240a = 512  , b = 308 (i...

Q: Evaluate L{e sin at - k (s -a) +k? ' 2(s–a) s+a (s+a) +k? 2(s+a) a (s – k) – a² 2(s–k) D. (s+k) +a² ...

A: It is known that: La·ft+b·gt=a·Lft+b·LgtLeatsinbt=bs-a2+b2Leat=1s-a

Q: 1. 23.237, dp = 1 2. 3/8, dp = 2 3. 10/7, dp= 3

A: This is the problem of counting. Error Analysis.

Q: Show the complete proof of the given argument. If you plant tulips, then your garden will bloom earl...

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Q: Solve the equation. (3x y+2)dx+ (4x°y +y 1)dy D0 An implicit solution in the form F(x,y) = C is =C, ...

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Q: 1. (p v q) → (q → q) = r 2. (p A ¬q) v q = p V q 3. -(p A q) A q = ¬p A q

A: To show logically equivalence lets draw truth table. If they have same truth values we can say they ...

Q: Complete the truth Table for the given statement by filling in the required columns 1. (P→Q)→(-PVQ) ...

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Q: f(x), the rational function, presents a line when graphed, why is that? 18-11x+x? f(x) = happened? W...

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Q: 7. Consider the sets A = {x |x € Z, -2 <x < 2} B = {a,b, c} C = {1,3, 5, 9, 11} D = {-2, –1,0, 1,2} ...

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Q: Find the inverse Laplace transform of - 3s? + 6s – 4 (s2 - 2s + 2)2

A: The solution is given as  

Q: Let R be a commutative ring. Prove that the principal ideal generated by the element x E R[x] is a p...

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Q: Determine the units digit of 4 2874

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Q: Sulve the sifferential equation using Eftce Laplace transforms- y"-3y +2y=1-4X+2X Y(0)=4,y10)= 5-

A: Some of the properties of the Laplace transformation  Ltn=n!sn+1 L-11sn+1=tnn! L-11s-a=eat Ly''=s2L...

Q: The duration of routine operations in a certain hospital has approximately a normal distribution wit...

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Q: 4 The value ofn can be calculated from the integral -1 1+x2 Approximate T using the Weddle's rule

A: Given  π=12∫-1141+x2dx=∫-1112·41+x2dx=∫-1121+x2dx Here, we have to approximate π using Weddle's rule...

Q: Consider the given matrix A and do the following: a.) Convert to REF and RREF.

A: We know that, REF stands for Row echelon Form of matrix. RREF stands for reduced row echelon form of...

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² +y? - 1 ... ...

A: The given problem is to find the local extrema values of the given function of two variables.

Q: Prove the validity of the following argument (G H)-(I→J) Kv-(L→M) (G-H)v~K N-(L→M) (I→J) :-N

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Q: Euclid works 2 times as fast as his sister. Together they cleaned the house in 4 hours. How long wou...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: 4.15. Let r > 0 be a constant and define Xạ = (r'/3 + Bt)³ ; t20. Show that dX, = }x}/³dt + x?/³dB¢ ...

A: Given- Let x &gt; 0 be a constant and define Xt = x13 + 13Bt3 ;     t ≥ 0 To Show- Show that dXt = 1...

Q: Find the solution of the equation z az cos y which tends to zero as x o and has the value cos y when...

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Q: Зл then find exact value for (without solving for x) 2 If cot(x) = and A<x< a. sin(2x) b. sin

A: We know that: cot x=1tan xsin 2x=2tan x1+tan2xsin x2=±1-cosx2